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Solution: Finding and Interpreting Mean, Variance, and
Chapter 4, Problem 32E(choose chapter or problem)
Problem 32E
Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.
Supreme Court Sixty-three percent of adults cannot name a Supreme Court justice. You randomly select five adults and ask them whether they can name a Supreme Court justice. The random variable represents the number of adults who cannot name a Supreme Court justice.
Questions & Answers
QUESTION:
Problem 32E
Finding and Interpreting Mean, Variance, and Standard Deviation In Exercise, find the (a) mean, (b) variance and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results.
Supreme Court Sixty-three percent of adults cannot name a Supreme Court justice. You randomly select five adults and ask them whether they can name a Supreme Court justice. The random variable represents the number of adults who cannot name a Supreme Court justice.
ANSWER:
Solution:
Step 1 of 4:
Given 63% of adults cannot name a Supreme Court justice.
Then we randomly select 5 adults.
Here, p = 63%
p =
p = 0.63 and n=5.
Our goal is:
a). We need to find the mean.
b). We need to find the variance.
c). We need to find the standard deviation.
a). The mean formula is the product of the sample size and the productivity.
The mean formula is
= np
We know that n=5 and p=0.63.
= 5
0.63
= 3.15
Therefore, the mean is 3.15.