Find the 60thpercentile.

Short Answer

Expert verified

The value of 60ththe Percentile is 50.0264

Step by step solution

01

Given Information

Given that,

X~N(54,8)

Where,

μ=54

σ=8

02

Explanation

Now,60thpercentile can be calculated as below:

P(x<k)=Px-μσ<k-μσ

0.6=PZ<k-548

k-548=0.2533From standardnormal table

k-54=0.2533×8

k=2.0264+54

k=56.0264

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