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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 12, find each probability value requested.

a. p(X > 66)

b. p(X < 75)

c    p(X < 57)

d. p(48 < X < 72)

(a)

To determine

To find: The value of p(X>66).

Explanation

Given info:

The random variable X follows the normal distribution with mean μ=60 and standard deviation σ=12.

Calculation:

The formula for z score is,

z=Xμσ

Substitute the value 66 for X, 60 for μ and 12 for σ.

z=666012=612=0

(b)

To determine

To find: The value of p(X<75)

(c)

To determine

To find: The value of p(X<57).

(d)

To determine

To find: The value of p(48<X<57)

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