IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual.

part a

Give the distribution of X.

X ~_______(______,_________)

Part (b)

Find the probability that the person has an IQ greater than 135.

Write the probability statement.

P(_______)

What is the probability? (Round your answer to four decimal places.)

___________

part c

Write the probability statement.

P(X > x) =____________

What is the minimum IQ? (Round your answer to the nearest whole number.)

x =___________

part d

Write the probability statement.

P(x1 < X < x2) =____________

State the two values. (Round your answers to the nearest whole number.)

x1 = ________

x2 = ______________