Question 1

Determine the Appropriate Probability Rule to Use
-A study conducted at a certain college shows that 58% of the school s graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Accepted Answer

The appropriate rule to use is the complement rule, which calculates the probability of at least one event happening by subtracting the probability of none happening from 1. The probability of none moving is (1 - 0.58)^7. Subtracting this from 1 gives the probability of at least one moving, which is approximately 0.998.

Question 2

Determine the Appropriate Probability Rule to Use
-390 voters are classified by income and political party. The results are shown in the table. If a person is selected at random from the sample, find the probability that the person has high income.

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-390...

Question 3

Determine the Appropriate Probability Rule to Use
-Of 1429 people who came into a blood bank to give blood, 321 were ineligible to give blood. Estimate the probability that the next person who comes in to give blood will be ineligible to give blood.

Accepted Answer

The probability is estimated by dividing the number of people who were ineligible (321) by the total number of people who came in (1429), which gives approximately 0.225.

Question 4

Determine the Appropriate Probability Rule to Use
-Find $P ( A$ and $B )$ given that $P ( A ) = 0.2 , P ( B ) = 0.1$, and $A$ and $B$ are independent.

Accepted Answer

For independent events A and B, the probability of both A and B occurring is found by multiplying their individual probabilities: $P(A \text{ and } B) = P(A) \times P(B) = 0.2 \times 0.1 = 0.02.$

Question 5

Determine the Appropriate Probability Rule to Use
-If P(A) = 0.5, P(B) = 0.3, and P(A and B) = 0.1, find P(A or B).

Accepted Answer

P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.3 - 0.1 = 0.7

Question 6

Determine the Appropriate Probability Rule to Use
-Suppose that M and N are two events, P(M) = 0.18, P(N) = 0.08, and P(M and N) = 0.05. What is P(M N)

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-Suppose...

Question 7

Determine the Appropriate Probability Rule to Use
-Suppose that the probability that Sue will pass her statistics test is 0.59, the probability that she will pass her physics test is 0.49, and the probability that she will pass both tests is 0.280. What is the probability that she passes her physics test given that she passed her statistics test

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-Suppose...

Question 8

Determine the Appropriate Probability Rule to Use
-64% of students at one college drink alcohol regularly, and 12% of those who drink alcohol regularly suffer from depression. What is the probability that a randomly selected student drinks alcohol regularly and suffers from depression

Accepted Answer

The correct rule to use is the multiplication rule for independent events, where the probability of two events happening together is the product of their individual probabilities. Here, the probability that a student drinks alcohol regularly is 0.64, and the probability that a student who drinks suffers from depression is 0.12. Multiplying these gives 0.64 * 0.12 = 0.0768.

Question 9

Determine the Appropriate Probability Rule to Use
-The table below describes the exercise habits of a group of people suffering from high blood pressure. If one of the 941 subjects is randomly selected, find the probability that the person selected is female given that they exercise occasionally.

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-The...

Question 10

Determine the Appropriate Probability Rule to Use
-In one town, 51% of adults are employed in the tourism industry. What is the probability that three adults selected at random from the town are all employed in the tourism industry

Accepted Answer

The correct rule to use is the multiplication rule for independent events, where the probability of all events occurring is the product of their individual probabilities. Since each selection is independent and the probability of each adult being employed in the tourism industry is 51% or 0.51, the calculation is 0.51 * 0.51 * 0.51 = 0.133.

Question 11

Determine the Appropriate Probability Rule to Use
-Suppose that S and T are two events, P(S) = 0.60 and P(T S) = 0.16. What is P(S and T)

Accepted Answer

P(S and T) = P(S) * P(T|S) = 0.60 * 0.16 = 0.096.

Question 12

Determine the Appropriate Probability Rule to Use
-The table below describes the exercise habits of a group of people suffering from high blood pressure. If a woman is selected at random from the group, find the probability that she does not exercise.

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-The...

Question 13

Determine the Appropriate Probability Rule to Use
-At Bill s community college, 43.3% of students are Caucasian and 5.3% of students are Caucasian math majors. What percentage of Caucasian students are math majors

Accepted Answer

The correct answer is A because the question asks for the percentage of Caucasian students who are math majors, which is a conditional probability. The formula for conditional probability is P(A|B) = P(A and B) / P(B), so we need to find P(Caucasian and math major) and P(Caucasian). We are given that P(Caucasian) = 43.3% and P(Caucasian and math major) = 5.3%, so we can plug these values into the formula to get P(Caucasian|math major) = 5.3% / 43.3% = 12.2%.

Question 14

Determine the Appropriate Probability Rule to Use
-The age distribution of members of a gymnastics association is shown in the table. A member of the association is selected at random. Find the probability that the person selected is between 26 and 35 inclusive. Round your answer to three decimal places.

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-The...

Question 15

Determine the Appropriate Probability Rule to Use
-Suppose that the sample space is $\mathrm { S } = \{ \mathrm { a } , \mathrm { b } , \mathrm { c } , \mathrm { d } , \mathrm { e } , \mathrm { f } , \mathrm { g } , \mathrm { h } \}$ and that outcomes are equally likely. Find the probability of the event $E = \{ b , f , h \}$.

Accepted Answer

The probability of event E is calculated by dividing the number of outcomes in E (3) by the total number of outcomes in S (8), which equals 0.375.

Question 16

Determine the Appropriate Probability Rule to Use
-If P(A) = 0.5, P(B) = 0.5, and P( A or B) = 0.6, find P(A and B).

Accepted Answer

The correct rule to use is the Addition Rule for probabilities, which states P(A or B) = P(A) + P(B) - P(A and B). Plugging in the given values, 0.6 = 0.5 + 0.5 - P(A and B), solving for P(A and B) gives 0.4.

Question 17

Determine the Appropriate Probability Rule to Use
-The age distribution of members of a gymnastics association is shown in the table. A member of the association is selected at random. Find the probability that the person selected is at least 31 . Round your answer to three decimal places.

Accepted Answer

The answer of Determine the Appropriate Probability Rule to Use
-The...

Question 18

Determine the Appropriate Probability Rule to Use
-Suppose that the sample space is $\mathrm { S } = \{ \mathrm { a } , \mathrm { b } , \mathrm { c } , \mathrm { d } , \mathrm { e } , \mathrm { f } , \mathrm { g } , \mathrm { h } , \mathrm { i } , \mathrm { j } \}$ and that outcomes are equally likely. Find the probability of the event $\mathrm { F } =$ "a vowel".

Accepted Answer

The sample space S consists of 10 outcomes (a, b, c, d, e, f, g, h, i, j), and the event F consists of 3 vowels (a, e, i). Since outcomes are equally likely, the probability of F is the number of favorable outcomes (3 vowels) divided by the total number of outcomes (10), which is $3/10 = 0.3$.

Question 19

Determine the Appropriate Probability Rule to Use
-At a certain college, 15% of students speak Spanish, 6% speak Italian, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks Italian

Accepted Answer

The correct rule to use here is the conditional probability formula, which is P(A|B) = P(A and B) / P(B). Given that P(Spanish) = 0.15, P(Italian) = 0.06, and P(Spanish and Italian) = 0.04, we want to find P(Spanish|Italian) = P(Spanish and Italian) / P(Italian) = 0.04 / 0.06 = 0.667.

Question 20

Determine the Appropriate Probability Rule to Use
-If P(B) = 0.5, P(A or B) = 0.3, and P(A and B) = 0.6, find P(A).

Accepted Answer

P(A) = P(A or B) - P(B) = 0.3 - 0.5 = -0.2

Quiz 5: Probability

Determine the Appropriate Probability Rule to Use -A study conducted at a certain college shows that 58% of the school s graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Determine the Appropriate Probability Rule to Use -390 voters are classified by income and political party. The results are shown in the table. If a person is selected at random from the sample, find the probability that the person has high income.

Determine the Appropriate Probability Rule to Use -Of 1429 people who came into a blood bank to give blood, 321 were ineligible to give blood. Estimate the probability that the next person who comes in to give blood will be ineligible to give blood.

Determine the Appropriate Probability Rule to Use -Find $P ( A$ and $B )$ given that $P ( A ) = 0.2 , P ( B ) = 0.1$ , and $A$ and $B$ are independent.

Determine the Appropriate Probability Rule to Use -If P(A) = 0.5, P(B) = 0.3, and P(A and B) = 0.1, find P(A or B) .

Determine the Appropriate Probability Rule to Use -Suppose that M and N are two events, P(M) = 0.18, P(N) = 0.08, and P(M and N) = 0.05. What is P(M N)

Determine the Appropriate Probability Rule to Use -64% of students at one college drink alcohol regularly, and 12% of those who drink alcohol regularly suffer from depression. What is the probability that a randomly selected student drinks alcohol regularly and suffers from depression

Determine the Appropriate Probability Rule to Use -The table below describes the exercise habits of a group of people suffering from high blood pressure. If one of the 941 subjects is randomly selected, find the probability that the person selected is female given that they exercise occasionally.

Determine the Appropriate Probability Rule to Use -In one town, 51% of adults are employed in the tourism industry. What is the probability that three adults selected at random from the town are all employed in the tourism industry

Determine the Appropriate Probability Rule to Use -Suppose that S and T are two events, P(S) = 0.60 and P(T S) = 0.16. What is P(S and T)

Determine the Appropriate Probability Rule to Use -The table below describes the exercise habits of a group of people suffering from high blood pressure. If a woman is selected at random from the group, find the probability that she does not exercise.

Determine the Appropriate Probability Rule to Use -At Bill s community college, 43.3% of students are Caucasian and 5.3% of students are Caucasian math majors. What percentage of Caucasian students are math majors

Determine the Appropriate Probability Rule to Use -If P(A) = 0.5, P(B) = 0.5, and P( A or B) = 0.6, find P(A and B) .

Determine the Appropriate Probability Rule to Use -The age distribution of members of a gymnastics association is shown in the table. A member of the association is selected at random. Find the probability that the person selected is at least 31 . Round your answer to three decimal places.

Determine the Appropriate Probability Rule to Use -At a certain college, 15% of students speak Spanish, 6% speak Italian, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks Italian

Determine the Appropriate Probability Rule to Use -If P(B) = 0.5, P(A or B) = 0.3, and P(A and B) = 0.6, find P(A) .

Quiz 5: Probability

Determine the Appropriate Probability Rule to Use -A study conducted at a certain college shows that 58% of the school s graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Determine the Appropriate Probability Rule to Use -390 voters are classified by income and political party. The results are shown in the table. If a person is selected at random from the sample, find the probability that the person has high income.

Determine the Appropriate Probability Rule to Use -Of 1429 people who came into a blood bank to give blood, 321 were ineligible to give blood. Estimate the probability that the next person who comes in to give blood will be ineligible to give blood.

Determine the Appropriate Probability Rule to Use -Find P(AP ( AP(A and B) B ) B) given that P(A) =0.2,P(B) =0.1P ( A ) = 0.2 , P ( B ) = 0.1P(A) =0.2,P(B) =0.1 , and AAA and BBB are independent.

Determine the Appropriate Probability Rule to Use -If P(A) = 0.5, P(B) = 0.3, and P(A and B) = 0.1, find P(A or B) .

Determine the Appropriate Probability Rule to Use -Suppose that M and N are two events, P(M) = 0.18, P(N) = 0.08, and P(M and N) = 0.05. What is P(M N)

Determine the Appropriate Probability Rule to Use -64% of students at one college drink alcohol regularly, and 12% of those who drink alcohol regularly suffer from depression. What is the probability that a randomly selected student drinks alcohol regularly and suffers from depression

Determine the Appropriate Probability Rule to Use -The table below describes the exercise habits of a group of people suffering from high blood pressure. If one of the 941 subjects is randomly selected, find the probability that the person selected is female given that they exercise occasionally.

Determine the Appropriate Probability Rule to Use -In one town, 51% of adults are employed in the tourism industry. What is the probability that three adults selected at random from the town are all employed in the tourism industry

Determine the Appropriate Probability Rule to Use -Suppose that S and T are two events, P(S) = 0.60 and P(T S) = 0.16. What is P(S and T)

Determine the Appropriate Probability Rule to Use -The table below describes the exercise habits of a group of people suffering from high blood pressure. If a woman is selected at random from the group, find the probability that she does not exercise.

Determine the Appropriate Probability Rule to Use -At Bill s community college, 43.3% of students are Caucasian and 5.3% of students are Caucasian math majors. What percentage of Caucasian students are math majors

Determine the Appropriate Probability Rule to Use -If P(A) = 0.5, P(B) = 0.5, and P( A or B) = 0.6, find P(A and B) .

Determine the Appropriate Probability Rule to Use -The age distribution of members of a gymnastics association is shown in the table. A member of the association is selected at random. Find the probability that the person selected is at least 31 . Round your answer to three decimal places.

Determine the Appropriate Probability Rule to Use -At a certain college, 15% of students speak Spanish, 6% speak Italian, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks Italian

Determine the Appropriate Probability Rule to Use -If P(B) = 0.5, P(A or B) = 0.3, and P(A and B) = 0.6, find P(A) .

Determine the Appropriate Probability Rule to Use -Find $P ( A$ and $B )$ given that $P ( A ) = 0.2 , P ( B ) = 0.1$ , and $A$ and $B$ are independent.