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Essentials of Statistics for the B...

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

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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 = 10, find the proportion of the population corresponding to each of the following.

  • a. Scores greater than 65.
  • b. Scores less than 68.
  • c. Scores between 50 and 70.

a.

To determine

To find: The proportion of the distribution located at the body when X>65.

Explanation

Given info:

The scores follow normal distribution with mean 60 and standard deviation 10 and X score is 65.

Calculation:

Let μ and σ be the mean and standard deviation of score X respectively. Then,

μ=60σ=10

Let, p is the probability that score obtained is greater than 89 then,

p=P(X>65)=1P(X<65)</

b.

To determine

To Find: The proportion of the distribution located at the body when X<68

c.

To determine

To Find: The proportion of the distribution located in between when 50 < X<70

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