1. (5pt) IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Letx= IQ of an individual.

a. X~ _____(_____,_____)

b. Find the probability that the person has an IQ greater than 120. Include a sketch of the graph, and write a probability statement.

c. The middle 95% of IQs fall between what two values? Sketch the graph and write the probability statement.

d. Lily's IQ has a z-score of 2.3so what is her IQ?

e. Charlie has a 91 IQ. What is the z-score of his IQ?

1. (5pt) Which is more and how can we tell?Show all your work when finding these and indicate where you use a calculator.

a. P( x > 3 ) when X~N(3 , 2.5)

b. P( x> 3 ) when X~U(0,6)

c. P( x>3 ) when X~B(4, 0.5)