The probability of a selected sample is 0.0001.
What is a normal distribution?
It is also known as Gaussian distribution. It shows the data near the more. This appears as bell curve in graphical form. It is a bell shaped frequency distribution curve of a continuous random variable.
Given that,
μ= 10 pounds
σ=2 pounds
n=16
Sampling distribution of mean is
μₓ⁻ =μ=10
Standard error of mean is
σₓ⁻ =σ/√n
=2/√16
=0.5
p(μₓ⁻ >12.5)
=1-p((x⁻-μₓ⁻/σₓ⁻ )≤ ((12.5-10)/0.5)
=1-p(z≤5)
using standard normal table,
=1-0.9999
=0.0001
The probability of a selected sample is 0.0001.
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