A normal population has mean \mu = 20 and standard deviation \sigma = 4. What is the probability that a randomly chosen value will be greater than 25?

emancipezN 2021-02-24 Answered
A normal population has mean μ=20 and standard deviation σ=4.
What is the probability that a randomly chosen value will be greater than 25?
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Expert Answer

doplovif
Answered 2021-02-25 Author has 71 answers

Step 1
From the provided information,
Mean (μ)=20
Standard deviation (σ)=4
XN(20,4)
Step 2
The required probability that a randomly chosen value will be greater than 25 can be obtained as:
P(X>25)=P(xμσ>25204)
=P(Z>1.25)
=1P(Z<1.25)
=10.8944=0.1056 (Using standard normal table)
Thus, the required probability is 0.1056.

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Jeffrey Jordon
Answered 2021-11-17 Author has 2047 answers

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