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A poll found that 46% of Americans say they suffer great stress at least once a...

A poll found that 46% of Americans say they suffer great stress at least once a week. If three people are selected at random, find the probability that all three will say that they suffer great stress at least once a week. (round to 4 decimal places

Math   Statistics-And-Probability   
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Answer #1

This question can be solved by using the binomial distribution:

Let X be the number of people suffering from stress at least once a week.

Then X ~ Binomial (3,0.46)

with the pmf of X given as

We need to calculate: P(X=3)

Hence the required probability is 0.0973

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