population: 20 PMF ƒ (x) 0.25

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose you have the following discrete probability distribution that describes a
population:
20
30
40
50
PMF f (x)
0.25
0.25
0.25
0.25
1. For this population, find the mean
and the standard deviation
Round to 2 decimal places.
2. Suppose you take a random sample of size 50 from this population to calculate a
sample mean. For its sampling distribution, find the mean
and
the standard deviation
. Round to 2 decimal places.
3. What is the approximate probability that the sample mean exceeds 30?
Round to 4 decimal places.
Transcribed Image Text:Suppose you have the following discrete probability distribution that describes a population: 20 30 40 50 PMF f (x) 0.25 0.25 0.25 0.25 1. For this population, find the mean and the standard deviation Round to 2 decimal places. 2. Suppose you take a random sample of size 50 from this population to calculate a sample mean. For its sampling distribution, find the mean and the standard deviation . Round to 2 decimal places. 3. What is the approximate probability that the sample mean exceeds 30? Round to 4 decimal places.
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