Show Work Please If the probability is 040 that a child expo

Show Work Please

If the probability is 0.40 that a child exposed to a certain contagious disease will catch it. What is the probability that the tenth child exposed to the disease will be the third to catch it.

Solution

This is a negative binomial distirbution problem.

Thus,

P(x) = C(n-1, x-1) p^x (1-p)^(n-x)

P(3) = C(10-1, 3-1) 0.40^3 (1-40)^(10-3)

= 0.064497254 [ANSWER]