Question

A recent Gallup Poll found that 95% of American adults are "satisfied with their personal life."...

A recent Gallup Poll found that 95% of American adults are "satisfied with their personal life."

Suppose you take a random sample of 5 Americans and ask each one if they are "satisfied with their personal life" and record the number who report personal life satisfaction. Use this experiment to answer the following questions. Round solutions to four decimal places, if necessary.

a. Create a binomial probability distribution (table) for this experiment.

b. Calculate the mean of the binomial distribution.

c. Calcualte the standard deviation of this binomial distribution.

Homework Answers

Answer #1

Let ,

a. The binomial probability distribution (table) for this experiment is

X
0 1 1 3.125E-07 3E-07
1 5 0.95 6.25E-06 3E-05
2 10 0.9025 0.000125 0.0011
3 10 0.857375 0.0025 0.0214
4 5 0.814506 0.05 0.2036
5 1 0.773781 1 0.7738

b.

c. Standard deviation=

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