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Chapter 6: Q. 51 (page 387)

Use the following information to answer the next four exercises: X~N(54,8)

Find the probability thatx<30

Short Answer

Expert verified

The value of p(x<30)is0.0013.

Step by step solution

01

Given Information

It is given that, X~N(54,8)

μ=54

σ=8

02

Solution of the Problem

Now, the required probability can be calculated as below:

P(x<30)=Px-μσ<30-μσ

=PZ<30−548

=P(Z<−3)

=0.0013From standardnormal table

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