Question

The random variable X has a uniform distribution with values between 14 and 24. What is...

The random variable X has a uniform distribution with values between 14 and 24.

What is the mean and standard deviation of X?

(Round your answer to three decimal places.)

Math   Statistics-And-Probability   
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Answer #1

SOLUTION:

Given data,

The random variable X has a uniform distribution with values between 14 and 24.

Formulas for the theoretical mean and standard deviation are

The notation for the uniform distribution is X ~ U(a, b)

where

a=14 = the lowest value of x and

b =24 = the highest value of x.

Mean = = (a+b)/2

= (14+24) / 2

= 38/2

= 19

Standard deviation = = sqrt ((b-a)^2/12)

= sqrt ((24-14)^2/12)

= 2.88675134

= 2.887 (Rounded to three decimal places)

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