Question

The probability of a tropical storm becomes a hurricane is 0.53. If the weather service predicts 6 more tropical storms, what is the probability that exactly 5 of them become hurricanes?

Answer 1

0.1179

Explanation:

Given that :

p = 0.53

n = 6 ; x = 5

P(x = 5)

According to the binomial probability formula :

P(x = r) = nCr * p^r * (1 - p)^(n - r)

P(x = 5) = 6C5 * 0.53^5 * (1 - 0.53)^(6 - 5)

P(x = 5) = 6C5 * 0.53^5 * 0.47^1

P(x = 5) = 6 * 0.53^5 * 0.47^1

P(x = 5) = 0.117931129026

= 0.1179