SOLUTION: A convenience store manager finds that the probabilities that a customer purchases 0, 1, 2 or 3 or more beverages are 0.42, 0.33, 0.12 and 0.13, respectively. In a random sample

Algebra ->  Probability-and-statistics -> SOLUTION: A convenience store manager finds that the probabilities that a customer purchases 0, 1, 2 or 3 or more beverages are 0.42, 0.33, 0.12 and 0.13, respectively. In a random sample       Log On


   



Question 1170504: A convenience store manager finds that the probabilities that a customer
purchases 0, 1, 2 or 3 or more beverages are 0.42, 0.33, 0.12 and 0.13,
respectively. In a random sample of 7 customers, find the probability that 2
will not purchase any beverages, 3 will purchase 1 beverage, 1 will purchase 2
beverages, and 1 will purchase 3 or more beverages.

Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
This is a multinomial probability problem

P%28X%29%22%22=%22%22 where x%5B1%5D%2Bx%5B2%5D%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bx%5Bk%5D=n and p%5B1%5D%2Bp%5B2%5D%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bp%5Bk%5D=1

Here

X = the event that 2 will not purchase any beverages, 3 will purchase 1 beverage,
1 will purchase 2 beverages, and 1 will purchase 3 or more beverages.

P%28X%29%22%22=%22%22expr%287%21%2F%282%213%211%211%21%29%290.42%5E2%2A0.33%5E3%2A0.12%5E1%2A0.13%5E1%22%22=%22%220.0415350071

Edwin