Jim's chocolate chip cookies advertise an average of 5 chocolate chips per cookie. let x be the number of chocolate chips in a randomly chosen cookie. assume that x is normally distributed with a variance of 5.

1) if we assume that the claim is correct what is the probability that the number of chips in a randomly chosen cookie is less than 3?

2) the cookies come in bags of 50, if we assume that the claim is correct what is the approximate distribution of the number of chocolate chips in a random bag? (dont forget to give parameters!)

3) suppose that a bag of cookies is randomly chosen and it is found to contain 200 chocolate chips. do you believe jim?