Question

From the survey 16 people of the 20 people surveyed said they were excited. The probability the 10 people were excited with replacement is

Answer 1

0.002

Explanation:

Use the Binomial Probability Formula

`P(X=x)=C(n,x)p^xq^(n-x)\\\\P(X=10)=C(20,10)((16)/(20))^(10)((4)/(20))^(20-10)\approx0.002`

Note that
`p` and
`q` are the probabilities of success and failure respectively