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2. Suppose that the random variable X has the discrete uniform distribution [1/4, x=3,4,5,6. otherwise. ƒ(x) = {1/² 0, A random sample of n = 20 is selected from this distribution. Find the probability that the sample mean is greater than 4.8. (Hint: use CLT)

2. Suppose that the random variable X has the discrete uniform distribution [1/4, x=3,4,5,6. otherwise. ƒ(x) = {1/² 0, A random sample of n = 20 is selected from this distribution. Find the probability that the sample mean is greater than 4.8. (Hint: use CLT)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. Suppose that the random variable X has the discrete uniform distribution [1/4, x=3,4,5,6. otherwise. ƒ(x) = {1/² 0, A random sample of n = 20 is selected from this distribution. Find the probability that the sample mean is greater than 4.8. (Hint: use CLT)
Transcribed Image Text:2. Suppose that the random variable X has the discrete uniform distribution [1/4, x=3,4,5,6. otherwise. ƒ(x) = {1/² 0, A random sample of n = 20 is selected from this distribution. Find the probability that the sample mean is greater than 4.8. (Hint: use CLT)
Expert Solution
Step 1

Answer:- Given the random variable X has the discrete uniform distribution

ƒ(x) = 1/4 , x= 3,4,5,6 

f(x) = 0 , otherwise 

Now, calculating the table below, 

X P(x)  x*P(x) x2*P(x)
3 (1/4 =) 0.25 0.75 2.25
4 0.25 1.00 4.00
5 0.25 1.25 6.25
6 0.25 1.50 9.00
Total 1 4.50 21.50
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