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Answer the question for a normal random variable x with mean μ and standard deviation σ...

Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to one decimal place.)

μ = 38 and σ = 8.

Find a value of x that has area 0.01 to its right.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given that,

mean = = 38

standard deviation = = 8

Using standard normal table,

P(Z > z) = 0.01

= 1 - P(Z < z) = 0.01  

= P(Z < z) = 1 - 0.01

= P(Z < z ) = 0.99

= P(Z < 2.33) = 0.99  

z = 2.33

Using z-score formula,

x = z * +

x = 2.33 * 8 + 38

x = 56.64

***please ask if you have any doubts.Happy to help you.Thank you.Please Like.

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