It is claimed that for a particular lottery, 1/10 of the

Solution 13E

Step1 of 3:

We have lottery game in that a particular lottery, 1/10 of the 50 million tickets will win a prize.

That is p =

               = 0.1.

We need to find,

the probability of winning at least one prize if you purchase

(a) 10 tickets or

(b) 15 tickets?

Step2 of 3:

Let “X” be random variable which follows binomial distribution with parameters n and p.

That is X B(n, p)

The probability mass function of binomial distribution is given below

P(X) = nCx , x = 0,1,2,...,n.

Where,

X = random variable

n = sample size

p = probability of success(or proportion).