Question

What is the probability that a randomly selected Californian age 18 to 64 exercises for at least 150 minutes per week? Illustrate by noting all relevant details on the normal curve below, and shading the appropriate region.

HELP!! PLEASE!

Answer 1

Explanation:

This is a normal distribution question with

Mean = 153

Standard Deviation= 10

Since we know that score

`Z_(score)=(x- \mu)/( \sigma )`

a)

P(x > 150.0)=?

The z-score at x = 150.0 is,

`Z = (150-153)/(10) \\\\Z=-0.3`

This implies that

P(x > 150.0) = P(z > -0.3)

= 1 - P(z < -0.3) = 1 - 0.3820885778110474

P(x > 150) = 0.6179