Question

Find P(-6<X<-1) if X~N(-4,15). (Write not only an answer but and an explanation.)

Find P(-6<X<-1) if X~N(-4,15).

(Write not only an answer but and an explanation.)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

Since, the normal distribution has the form , therefore

We have to find P(-6 < X < -1).

P(-6 < X < -1) = P(X < -1) - P(X ≤ -6)

We know that if X ~ N(μ, σ​​​​​​2) then,

Using "pnorm" function of R we get,

P(Z < 0.7746) = 0.7807 and P(Z ≤ -0.5164) = 0.3028

Please rate the answer. Thank you.

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