Question 1

Assuming the binomial distribution is appropriate, if N = 10 and P = 0.30, the probability of getting at least 8 P events is _________.

Accepted Answer

A)  0.1493 
B)  0.1211 
C)  0.0015 
D)  0.0014

Question 2

Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question. What is the probability your friend will fail the exam, if a failing grade is 59% or below?

Accepted Answer

A)  0.8686 
B)  0.8684 
C)  0.8693 
D)  0.7483

Question 3

In ( P + Q ) 6 the term Q 6 indicates 0 P events.

Accepted Answer

A) True 
 B)False

Question 4

In ( P + Q ) 7 the term Q 7 indicates 0 P events.

Accepted Answer

A) True 
 B)False

Question 5

What is the probability that one can call the flip of a coin correctly at least 6 out of 7 times assuming that the coin is fair?

Accepted Answer

A)  0.0078 
B)  0.0547 
C)  0.5000 
D)  0.0625 
E)  0.1250

Question 6

Teresa, a star player in women's college softball, is participating in a home run contest. If the probability she will hit a home run on any pitch is 0.65 what is the probability that out of 10 tries, at least 7 will be home runs?

Accepted Answer

A)  0.5139 
B)  0.0260 
C)  0.0719 
D)  0.6496

Question 7

If p ( H ) = 0.10 and 12 coins were flipped once, what are the probabilities for the following outcomes?

Accepted Answer

The answer of If p ( H ) = 0.10...

Question 8

If p ( H ) = 0.80 and 9 coins were tossed once, what is the probability of getting results as extreme or more extreme than 3 heads?

Accepted Answer

The answer of If p ( H ) = 0.80...

Question 9

If you weighted a coin such that the probability of obtaining a head on any one flip was 0.3, what is the probability of getting 5 or 6 heads out of 6 flips? What is the probability of getting 0 or 1 heads out of 6 flips?

Accepted Answer

The answer of If you weighted a coin such that...

Question 10

Your introductory psychology class has 189 males and 261 females. If you randomly sample 40 of these classmates, what is the probability you will get at least 32 females?

Accepted Answer

A)  0.0049 
B)  0.0025 
C)  0.0048 
D)  0.0024

Question 11

The binomial distribution results when what conditions are met?

Accepted Answer

The answer of The binomial distribution results when what conditions...

Question 12

The binomial distribution is symmetrical _________.

Accepted Answer

A)  for all values of P and Q 
B)  only when P = Q = .50 
C)  for N > 8 
D)  for P > Q

Question 13

If P > Q , the binomial distribution will be symmetrical.

Accepted Answer

A) True 
 B)False

Question 14

If P ≠ Q , the binomial distribution will still be normally distributed.

Accepted Answer

A) True 
 B)False

Question 15

In an experiment where the binomial distribution is appropriate, six subjects are run. What is the probability of obtaining 6 +'s, if chance alone is at work? Give your answer to six decimal places.

Accepted Answer

The answer of In an experiment where the binomial distribution...

Question 16

Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question What is the probability your friend will pass the exam. Each question has the same weight and 60% or more correct answers results in a passing grade.

Accepted Answer

A)  0.1316 
B)  0.1307 
C)  0.2517 
D)  0.0580

Question 17

The sum of all terms in any binomial expansion will equal _______.

Accepted Answer

A)  1.0000 
B)  0.5000 
C)  depends on the values of P and Q 
D)  0.0000 (WWW)

Question 18

In solving a binomial problem, if the evaluation required only finding the probability of all P events, and N = 40, evaluating P 40 would be more accurate than using the normal approximation. Assume no rounding.

Accepted Answer

A)  T 
B)  F 
C)  It depends on the value of P 
D)  if P = Q = .50, the normal approximation would be more accurate.

Question 19

The probability of 6 P events when N = 10 and P = 0.7 is the same as 4 Q events if Q = 0.3 and N = 10.

Accepted Answer

A) True 
 B)False

Question 20

A particular industry maintains that from the outset within it women have had the same chance of being hired as men. If this is so, of 10,000 companies within the industry that employ 14 individuals, how many companies would you expect to have 13 or more male employees?

Accepted Answer

The answer of A particular industry maintains that from the...

Exam 9: Binomial Distribution

Assuming the binomial distribution is appropriate, if N = 10 and P = 0.30, the probability of getting at least 8 P events is _________.

Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question. What is the probability your friend will fail the exam, if a failing grade is 59% or below?

In ( P + Q ) 6 the term Q 6 indicates 0 P events.

In ( P + Q ) 7 the term Q 7 indicates 0 P events.

What is the probability that one can call the flip of a coin correctly at least 6 out of 7 times assuming that the coin is fair?

Teresa, a star player in women's college softball, is participating in a home run contest. If the probability she will hit a home run on any pitch is 0.65 what is the probability that out of 10 tries, at least 7 will be home runs?

If p ( H ) = 0.10 and 12 coins were flipped once, what are the probabilities for the following outcomes?

If p ( H ) = 0.80 and 9 coins were tossed once, what is the probability of getting results as extreme or more extreme than 3 heads?

If you weighted a coin such that the probability of obtaining a head on any one flip was 0.3, what is the probability of getting 5 or 6 heads out of 6 flips? What is the probability of getting 0 or 1 heads out of 6 flips?

Your introductory psychology class has 189 males and 261 females. If you randomly sample 40 of these classmates, what is the probability you will get at least 32 females?

The binomial distribution results when what conditions are met?

The binomial distribution is symmetrical _________.

If P > Q , the binomial distribution will be symmetrical.

If P ≠ Q , the binomial distribution will still be normally distributed.

In an experiment where the binomial distribution is appropriate, six subjects are run. What is the probability of obtaining 6 +'s, if chance alone is at work? Give your answer to six decimal places.

The sum of all terms in any binomial expansion will equal _______.

In solving a binomial problem, if the evaluation required only finding the probability of all P events, and N = 40, evaluating P ⁴⁰ would be more accurate than using the normal approximation. Assume no rounding.

The probability of 6 P events when N = 10 and P = 0.7 is the same as 4 Q events if Q = 0.3 and N = 10.

A particular industry maintains that from the outset within it women have had the same chance of being hired as men. If this is so, of 10,000 companies within the industry that employ 14 individuals, how many companies would you expect to have 13 or more male employees?