Question 1

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

The answer of Determine whether the statement is true for...

Question 2

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

The answer of Determine whether the statement is true for...

Question 3

Solve the problem.
-A baseball player with a batting average of 0.200 comes to bat. What are the odds in favor of his getting a hit?

Accepted Answer

The odds in favor of an event are calculated as the ratio of the probability of the event occurring to the probability of it not occurring. The probability of getting a hit is 0.200, and the probability of not getting a hit is 0.800. The odds in favor are 0.200:0.800, which simplifies to 1:4.

Question 4

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
- is prime.

Accepted Answer

The answer of Determine whether the statement is true for...

Question 5

Solve the problem.
-If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is  what are the odds against a direct hit?

Accepted Answer

The answer of Solve the problem.
-If the probability that an...

Question 6

Solve the problem.
-A football player with a field goal kicking percentage of 80% for kicks of 40 yards or less attempts a final-minute field goal of 32 yards. What are the odds in favor of a successful kick?

Accepted Answer

The odds in favor of a successful kick are 4 to 1, because an 80% success rate means the player is expected to make 4 out of every 5 attempts.

Question 7

Solve the problem.
-The distribution of B.A. degrees conferred by a local college is listed below, by major.  What is the probability that a randomly selected degree is not in Mathematics? Round to the nearest thousandth.

Accepted Answer

The answer of Solve the problem.
-The distribution of B.A. degrees...

Question 8

Solve the problem.
-Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6?

Accepted Answer

The total number of ways to draw 2 slips out of 7 is 7C2 = (7*6)/(2*1) = 21. The combinations that sum to 6 are (1,5), (2,4), and (5,1), (4,2), which are 2 distinct pairs since order doesn't matter in this context. So, there are 21 - 2 = 19 combinations that do not sum to 6. The odds in favor are 19 successful outcomes to 2 not successful, or 19 to 2.

Question 9

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
- is prime.

Accepted Answer

The answer of Determine whether the statement is true for...

Question 10

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

The answer of Determine whether the statement is true for...

Question 11

Solve the problem.
-If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is  what are the odds against an earthquake?

Accepted Answer

The answer of Solve the problem.
-If it has been determined...

Question 12

Solve the problem.
-If the odds that it will rain are 4 to 7, what is the probability of rain?

Accepted Answer

The answer of Solve the problem.
-If the odds that it...

Question 13

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

The answer of Determine whether the statement is true for...

Question 14

Solve the problem.
-A basketball player with a free throw shooting percentage of 60% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

Accepted Answer

The answer of Solve the problem.
-A basketball player with a...

Question 15

Solve the problem.
-The kings are separated from a deck of standard playing cards and shuffled. One is randomly selected. What are the odds in favor of drawing a black card?

Accepted Answer

There are 2 black kings (spades and clubs) and 2 red kings (hearts and diamonds) in a standard deck. Therefore, the odds of drawing a black king are 2 out of 4, or 1 to 1.

Question 16

Solve the problem.
-If the odds against a candidate winning an election are 5 to 9, then what is the probability that that candidate will win the election?

Accepted Answer

The answer of Solve the problem.
-If the odds against a...

Question 17

Solve the problem.
-Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

Accepted Answer

There are 21 possible pairs of slips (since 7 choose 2 is 21). The pairs that sum to 7 are (1,6), (2,5), and (3,4), which are 3 pairs. The odds are calculated as the number of successful outcomes to unsuccessful ones, which is 3 to 18, simplifying to 1 to 6.

Question 18

Solve the problem.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the
Person does not work full time.  1. Public transportation: 8 full time, 7 part time
2. Bicycle: 3 full time, 3 part time
3. Drive alone: 35 full time, 30 part time
4. Carpool: 7 full time, 7 part time

Accepted Answer

The answer of Solve the problem.
-100 employees of a company...

Question 19

Solve the problem.
-If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Accepted Answer

The answer of Solve the problem.
-If a person is randomly...

Question 20

Solve the problem.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the
Person does not commute by public transportation.  1. Public transportation: 10 full time, 7 part time
2. Bicycle: 5 full time, 4 part time
3. Drive alone: 33 full time, 26 part time
4. Carpool: 6 full time, 9 part time

Accepted Answer

The answer of Solve the problem.
-100 employees of a company...

Quiz 11: Sequences, Series, and Probability

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -A baseball player with a batting average of 0.200 comes to bat. What are the odds in favor of his getting a hit?

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. - is prime.

Solve the problem. -If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is what are the odds against a direct hit?

Solve the problem. -A football player with a field goal kicking percentage of 80% for kicks of 40 yards or less attempts a final-minute field goal of 32 yards. What are the odds in favor of a successful kick?

Solve the problem. -The distribution of B.A. degrees conferred by a local college is listed below, by major. What is the probability that a randomly selected degree is not in Mathematics? Round to the nearest thousandth.

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6?

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. - is prime.

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is what are the odds against an earthquake?

Solve the problem. -If the odds that it will rain are 4 to 7, what is the probability of rain?

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -A basketball player with a free throw shooting percentage of 60% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

Solve the problem. -The kings are separated from a deck of standard playing cards and shuffled. One is randomly selected. What are the odds in favor of drawing a black card?

Solve the problem. -If the odds against a candidate winning an election are 5 to 9, then what is the probability that that candidate will win the election?

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

Solve the problem. -If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.