Question

46% of Americans say they suffer great stress at least once a week. If there are three people are selected at random,find probability of all three say they are suffered great stress at least once a week

Answer 1

`Pr(3\text{ people suffered stress once a w}eek)=\text{ 0.097336}`

Step-by-step explanation:

Probability that an american suffer great stress at least once a week = 46%

Pr(suffered stress once a week) = 0.46

3 people selected at randon. The probability that one is stresses doesnot affect the probability of other being stressed

To get the Probability that 3 people picked at random suffer great stress at least once a week, we will apply the multiplication rule since they are independent events:

`\begin{gathered} Pr(3\text{ people suffered stresses once a w}eek)=0.46*0.46\text{ }*\text{ 0.46} \\ Pr(3\text{ people suffered stress once a w}eek)=\text{ 0.097336} \end{gathered}`