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Homework problems for business statistics (busa 3101) class, focusing on probability theory and statistics. Students are required to answer questions related to events a, b, c, and d, gender and marital status of customers, and normal distribution using microsoft excel. Questions cover probability calculations, mutual exclusivity, independence, and expected values.
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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.
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.
a. Are “R” and “D” independent events? b. What is the probability of electing a Republican president in 2000 and an economic decline in the year 2001? c. If we experience an economic decline in the year 2001, what is the probability that a Republican president will have been elected in the year 2000? d. What is the probability of economic decline in 2001 or a Republican president elected in the year 2000 or both?