You can use standard normal distribution table calculator

Solved Step by Step With Explanation-5th Percentile of X

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Answer

Solved Step by Step With Explanation-5th Percentile of X

Where:

• Z is the Z-score.

Z=(X−42)/4​

To find the Z-score corresponding to the 5th percentile, you can use a standard normal distribution table or a calculator. The Z-score for the 5th percentile is approximately -1.645.

X=−6.58+42

X≈35.42