Originally Posted by

**JSharpie**

1. A bakery has 100 bags of cookies in stock. Each bag contains 14 chocolate chip cookies. The probability that a cookie have fewer than 10 chips in it is 10%.

Therefore:

100 bags

14 cookies in each bag

=

1400 total cookies

140 cookies with less than 10 chips

-a)Find the probability in a bag that there are exactly 3 cookies that have fewer than 10 chips in them.

-b)What is the expected number of cookies, that have fewer than 10 chips, in a bag?

-c)What is the standard deviation of the number of cookies, that have fewer than 10 chips, in a bag?

-d) How many of the 100 bags of cookies would you expect to have exactly 3 cookies that have fewer than 10 chips?

-e) What is the probability that between 14 and 25 (inclusive) bags out of the 100 bags have exactly 3 cookies with fewer than 10 chips?