A population of values has a normal distribution with \mu=192.6 and \sigma=34.4. You intend to draw a random sample of size n=173.Find the probability that a single randomly selected value is less than 186.1.P(X < 186.1) =? Write your answers as numbers accurate to 4 decimal places.

midtlinjeg 2021-02-13 Answered

A population of values has a normal distribution with μ=192.6 and σ=34.4. You intend to draw a random sample of size n=173.
Find the probability that a single randomly selected value is less than 186.1.
P(X<186.1)=?
Write your answers as numbers accurate to 4 decimal places.

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Expert Answer

Maciej Morrow
Answered 2021-02-14 Author has 98 answers

Step 1
Given:
μ=192.6,
σ=34.4,
n=173.
The Z-score follows standard normal distribution.
Step 2
P[X<186.1]=P[Xμσ<186.1192.634.4]
=P[Z<0.19]=0.4247 (Use standard normal table)
The probability that a single randomly selected value is less than 186.1 is 0.4247.

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Jeffrey Jordon
Answered 2021-11-17 Author has 2027 answers

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