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Solved: Given that x is a hypergeometric random variable
Chapter 4, Problem 68E(choose chapter or problem)
Given that x is a hypergeometric random variable with N = 10, n = 5, and r = 7:
a. Display the probability distribution for x in tabular form.
b. Compute the mean and variance of x.
c. Graph p(x) and locate \(\mu\) and the interval \(\mu\ \pm\ 2\sigma\) on the graph.
d. What is the probability that x will fall within the interval \(\mu\ \pm\ 2\sigma\)?
Questions & Answers
QUESTION:
Given that x is a hypergeometric random variable with N = 10, n = 5, and r = 7:
a. Display the probability distribution for x in tabular form.
b. Compute the mean and variance of x.
c. Graph p(x) and locate \(\mu\) and the interval \(\mu\ \pm\ 2\sigma\) on the graph.
d. What is the probability that x will fall within the interval \(\mu\ \pm\ 2\sigma\)?
ANSWER:Solution:
Step 1 of 3:
Let x be random variable which follows a hypergeometric distribution with N=10, n=5, and r=7.
- We have to display the probability distribution for x in tabular form.
- We have to compute the mean and variance of x.
-
We have to graph P(x) and locate the mean and the interval
on the graph.
-
We have to find the probability that x fall within the interval