Question 1

Which of the following is a required condition for a discrete probability function?

Accepted Answer

A)  ∑f(x) = 0 for all values of x 
B)  f(x)  1 for all values of x 
C)  f(x) < 0 for all values of x 
D)  ∑f(x) = 1 for all values of x

Question 2

The probability that Pete will catch fish when he goes fishing is .88.Pete is going to fish 3 days next week.Define the random variable x to be the number of days Pete catches fish.The expected number of days Pete will catch fish is

Accepted Answer

A)  0.56. 
B)  0.88. 
C)  2.64. 
D)  0.3168.

Question 3

The student body of a large university consists of 60% female students.A random sample of 8 students is selected.What is the probability that among the students in the sample exactly two are male?

Accepted Answer

A)  0.0896 
B)  0.2090 
C)  0.0413 
D)  0.0007

Question 4

Three percent of the customers of a mortgage company default on their payments.A sample of five customers is selected.What is the probability that exactly two customers in the sample will default on their payments?

Accepted Answer

A)  0.0003 
B)  0.0082 
C)  0.0077 
D)  0.0008

Question 5

The _____ probability function is based in part on the counting rule for combinations.​

Accepted Answer

A)  ​binomial 
B)  ​Poisson 
C)  ​hypergeometric 
D)  ​exponential

Question 6

In a binomial experiment the probability of success is 0.05.What is the probability of two successes in seven trials?

Accepted Answer

A)  0.0036 
B)  0.0000 
C)  0.0406 
D)  0.3667

Exam 5: Discrete Probability Distributions