Problem 59P

If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is what is the (approximate) probability that you will win a prize

(a) at least once?

(b) exactly once?

(c) at least twice?

Solution:

Step 1 of 4:

We have the number of trials n = 50.

The probability of winning a prize is p = .

Let X follows the Poisson distribution with the probability mass function

P(X = x) =

Where = np

= 50()

= 0.5.