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Business Statistics (BUSA 3101) Dr. L. Arjomand
Chapters 4-6 Homework Problems. Due Date: Will be announced by the faculty
INSTRUCTIONS: Answer all of the following seven (7) questions by using Microsoft Excel as
much as possible. Your answers should be precise and you should give a brief explanation
(interpretation) of your answers. Please print your name and question number(s) on the answer
sheet(s). When you use Microsoft Excel, you should provide me with the Excel outputs.
Assignments are due in the class on the dates which will be announced by the faculty. Do not
fax, and/or e-mail your finished assignment to the instructor. Do not leave your finished
assignment in my mail box and/or on my office door.
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1. You are given the following information on Events A, B, C, and D.
P(A) = .4 P(A ∪ D) = .6 P(A ∩ C) = .04
P(B) = .2 P(A⎮B) = .3 P(A ∩ D) = .03
P(C) = .1
a. Compute P(D).
b. Compute P(A ∩ B).
c. Compute P(A⎮C).
d. Compute the probability of the complement of C.
e. Are A and B mutually exclusive? Explain your answer.
f. Are A and B independent? Explain your answer.
g. Are A and C mutually exclusive? Explain your answer.
h. Are A and C independent? Explain your answer.
2. A bank has the following data on the gender and marital status of 200 customers.
Male Female
Single 20 30
Married 100 50
a. What is the probability of finding a single female customer?
b. What is the probability of finding a married male customer?
c. If a customer is female, what is the probability that she is single?
d. What percentage of customers is male?
e. If a customer is male, what is the probability that he is married?
f. Are gender and marital status mutually exclusive?
g. Is marital status independent of gender? Explain using probabilities.
