Question 1

A machine is produced by a sequence of operations.Typically one defective machine is produced per 1000 parts.Assuming that defects occur independently,what is the probability of two consecutively produced machines being non-defective?

Accepted Answer

The answer of A machine is produced by a sequence...

Question 2

A card is drawn from a standard deck of 52 cards.Given that a face card is drawn,what is the probability it will be a king?

Accepted Answer

The answer of A card is drawn from a standard...

Question 3

What is the probability of winning three games in a row,if the probability of winning each individual game is 1/2,independent of each other game?

Accepted Answer

The answer of What is the probability of winning three...

Question 4

If the student has received a grade of C,what is the probability that he is male?

Accepted Answer

The answer of If the student has received a grade...

Question 5

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(E)?

Accepted Answer

The answer of Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)=...

Question 6

A fair coin is tossed 6 times.What is the probability that at least one head occurs?

Accepted Answer

The answer of A fair coin is tossed 6 times.What...

Question 7

At a large school,70 percent of the students are women and 50 percent of the students receive a grade of C.25 percent of the students are neither female nor C students.Use the following contingency table. $$\begin{array} { l c c c } 
& \mathrm { C } & \overline { \mathrm { C } } & \
\text { Women } & .45 & .25 & .70 \
\text { Men } & .05 & .25 & .30 \
& .50 & .50 & 1.00
\end{array}$$
-What is the probability that a student is male and not a C student?

Accepted Answer

The answer of At a large school,70 percent of the...

Question 8

If the student is male,what is the probability he is a C student?

Accepted Answer

The answer of If the student is male,what is the...

Question 9

At a large school,70 percent of the students are women and 50 percent of the students receive a grade of C.25 percent of the students are neither female nor C students.Use the following contingency table. $$\begin{array} { l c c c } 
& \mathrm { C } & \overline { \mathrm { C } } & \
\text { Women } & .45 & .25 & .70 \
\text { Men } & .05 & .25 & .30 \
& .50 & .50 & 1.00
\end{array}$$
-What is the probability that a student is female and a C student?

Accepted Answer

The answer of At a large school,70 percent of the...

Question 10

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(B | E)?

Accepted Answer

The answer of Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)=...

Question 11

A card is drawn from a standard deck of 52 cards.What is the probability the card is an ace given that it is a club?

Accepted Answer

The answer of A card is drawn from a standard...

Question 12

A family has two children.What is the probability that both are girls,given that at least one is a girl?

Accepted Answer

The answer of A family has two children.What is the...

Question 13

Independently a fair coin is tossed,a card is drawn from a standard deck of 52 cards,and a fair die is thrown.What is the probability of observing a head on the coin,an ace on the card,and a five on the die?

Accepted Answer

The answer of Independently a fair coin is tossed,a card...

Question 14

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(A | E)?

Accepted Answer

The answer of Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)=...

Question 15

A machine is made up of 3 components: an upper part,a mid part,and a lower part.The machine is then assembled.3 percent of the upper parts are defective;2 percent of the mid parts are defective;5 percent of the lower parts are defective.Assuming that the parts function independently of each other,what is the probability that a machine is non-defective?

Accepted Answer

The answer of A machine is made up of 3...

Question 16

What is the probability that exactly one of the items is defective?

Accepted Answer

The answer of What is the probability that exactly one...

Question 17

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P (C | E)?

Accepted Answer

The answer of Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)=...

Question 18

Suppose that you draw one card from a standard deck of 52 cards.If the card you draw is a face card,what is the probability it is also a red card?

Accepted Answer

The answer of Suppose that you draw one card from...

Question 19

A pair of fair dice is thrown.What is the probability that one of the faces is a 3 given that the sum of the two faces is 9?

Accepted Answer

The answer of A pair of fair dice is thrown.What...

Question 20

Suppose that you draw one card from a standard deck of 52 cards.If the card you draw is a red card,what is the probability it is also a face card?

Accepted Answer

The answer of Suppose that you draw one card from...

Quiz 3: Probability

A machine is produced by a sequence of operations.Typically one defective machine is produced per 1000 parts.Assuming that defects occur independently,what is the probability of two consecutively produced machines being non-defective?

A card is drawn from a standard deck of 52 cards.Given that a face card is drawn,what is the probability it will be a king?

What is the probability of winning three games in a row,if the probability of winning each individual game is 1/2,independent of each other game?

If the student has received a grade of C,what is the probability that he is male?

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(E)?

A fair coin is tossed 6 times.What is the probability that at least one head occurs?

If the student is male,what is the probability he is a C student?

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(B | E)?

A card is drawn from a standard deck of 52 cards.What is the probability the card is an ace given that it is a club?

A family has two children.What is the probability that both are girls,given that at least one is a girl?

Independently a fair coin is tossed,a card is drawn from a standard deck of 52 cards,and a fair die is thrown.What is the probability of observing a head on the coin,an ace on the card,and a five on the die?

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P(A | E)?

What is the probability that exactly one of the items is defective?

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P (C | E)?

Suppose that you draw one card from a standard deck of 52 cards.If the card you draw is a face card,what is the probability it is also a red card?

A pair of fair dice is thrown.What is the probability that one of the faces is a 3 given that the sum of the two faces is 9?

Suppose that you draw one card from a standard deck of 52 cards.If the card you draw is a red card,what is the probability it is also a face card?