Question

Suppose each time a potential customer visits your website on a weekday there is a 25% chance they purchase something. Every hour you get exactly 20 potential customers visiting your website. Suppose that all website visits are independent. What is the probability that you make 5 or less sales in an hour? What is the expected number of sales from your website in a 10 hour time period?
Suppose on weekends the probability a visitor makes a purchase is 0.63 and your site gets 8 visitors per hour. What is the probability that more than 6 individuals per hour make a purchase?

Can you also show the steps taken to get to the final answers? I just want the final breakdown of the problem so I know how to arrive at the answer. Thank you.

Answer 1

or

p= 0.25 n = 20

P(X < = 5 ):

Using Excel Function solver

=BINOM.DIST(X, Trials, P, C = BINOM.IST(5, 20, 0.25, 1) = 0.61717

P= 0.63 n=8

P(X > 6)

1- (=BINOM.DIST(X, Trials, P, C ) = 1- BINOM.IST(6,8,0.63,1) = 0.14141