Question

If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?

Answer 1

`P(X=x)=0.0004928`

Explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

`P(X=x)={n\choose x}p^x(1-p)^(n-x)\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928`

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928