Questions 10 and 11 refer to the problem below.
Customers arrive at a sports store at an average rate of three customers every 15 minutes. Assume a Poisson distribution.
QUESTION 10
What is the probability that exactly five customers will arrive in half-an-hour?
A. 0.186
B. 0.139
C. 0.270
D. 0.161
QUESTION 11
What is the probability that at least one customer will arrive in a five-minute period?
A. 0.632
B. 0.702
C. 0.368
D. 0.502
Questions 12 – 13 refer to the problem below.
Records show that 45% of employees at a university publish in accredited journals.
QUESTION 12
What is the probability that in a sample of five randomly selected employees, exactly two publish in accredited journals?
A. 0.391
B. 0.337
C. 0.276
D. 0.301
QUESTION 13
What is the probability that in a sample of six randomly selected employees, at most four publish in accredited journals?
A. 0.961
B. 0.892
C. 0.931
D. 0.983