Suppose Y = home price per square foot has a normal distribution with a mean of 100 and a standard deviation of 20. (a) What value separates the most expensive 25% of homes from the less expensive...

Suppose Y = home price per square foot has a normal distribution with a mean of 100 and a standard deviation of 20.

(a) What value separates the most expensive 25% of homes from the less expensive 75%?

(b) What values separate the middle 50% of the homes from the rest?

A randomly selected home has a 32% chance of having a fireplace. If you randomly select records for 12 homes, what is the probability that:

(a) exactly 4 have a fireplace?

(b) at least 7 have a fireplace?