Answer:
Step-by-step explanation:
a. This a binomial probability distribution problem expressed as:
#Given the probability of success, p=0.60 and the number of trials, n=8, the probability of exactly 5 purchases is calculated as:
Hence, the probability of exactly 5 purchases is 0.2787
b. Given n=8 , p=0.60, the probability of more than 5 purchases is calculated as:
Hence, the probability of more than 5 purchases is 0.3154
c. The probability of at most 5 purchases is equivalent to 1-P(x>5) and is calculated as:
#From b above, P(X>5)=0.3154;
Hence, the probability of at most 5 purchases is 0.6846