Question

A Harris 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 suffer stress at least once a week.

Answer 1

The probability that all three randomly selected Americans will report experiencing stress at least once a week, given a 46% chance individually, is approximately 9.7336%.

Step-by-step explanation:

To find the probability that all three randomly selected Americans will report experiencing stress at least once a week, we need to use the given percentage (46%) and assume that each selection is independent of the others. The probability that one person experiences stress at least once a week is 0.46. Since each selection is independent, the probability that all three people report stress weekly is the product of each individual probability.

To calculate this, you would multiply the individual probabilities together:

Probability(all three report stress weekly) = 0.46 × 0.46 × 0.46

This equals approximately 0.097336, or 9.7336%.