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.

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Step-by-step explanation:

This is a normal distribution question with

Mean = 153

Standard Deviation= 10

Since we know that score

a)

P(x > 150.0)=?

The z-score at x = 150.0 is,

This implies that

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

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

P(x > 150) = 0.6179

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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where's the diagram?

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