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Answer: Finding and Interpreting Mean, Variance, and
Chapter 4, Problem 29E(choose chapter or problem)
Problem 29E
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.
Life on Mars Thirty-one percent of adults think that life existed on Mars at some point in time. You randomly select six adults and ask them whether they think life existed on Mars at some point in time. The random variable represents the number of adults who think that life existed on Mars at some point in time.
Questions & Answers
QUESTION:
Problem 29E
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.
Life on Mars Thirty-one percent of adults think that life existed on Mars at some point in time. You randomly select six adults and ask them whether they think life existed on Mars at some point in time. The random variable represents the number of adults who think that life existed on Mars at some point in time.
ANSWER:
Answer
Step 1 of 4
(a)
We are asked to find the mean.
We have given 31% of adults think that life existed on Mars at some point in time.
You randomly select six adults and ask them whether they think life existed on Mars at some point in time.
Let represents the number of adults who think that life existed on Mars at some point in time.
A binomial distribution represented by the following formula,
Where
Hence the mean is