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)

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.)


Sketch the graph.
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WebAssign Plot WebAssign Plot
Correct: Your answer is correct.
Part (c)
Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization.

Write the probability statement.
P(X > x) =
Incorrect: Your answer is incorrect.


What is the minimum IQ? (Round your answer to the nearest whole number.)
x =
Correct: Your answer is correct.


Sketch the graph.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
Correct: Your answer is correct.
Part (d)
The middle 60% of IQs fall between what two values?

Write the probability statement.
P(x1 < X < x2) =
Incorrect: Your answer is incorrect.


State the two values. (Round your answers to the nearest whole number.)
x1 =
x2 =

Sketch the graph.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
Correct: Your answer is correct.