Question

The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.3. What is the probability that exactly 8 of the entry forms will include an order?

Round to three decimals and include leading zeros if necessary.

Answer 1

No. of entries received = 14

P(Receiving a Magazine Subscription Order) = 0.3

P(Not receiving a Magazine Subscription Order) = 0.7

This is a binomial distribution with n=14, p=0.3 and q=0.7

Let X be the Random Variable indicating the number of magazine subscriptions received

P(Exactly 8 subscriptions received) = P(X=8)

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

P(X=8) = C(14,8) * (0.3)^8 * (0.7)^6 = 3003 * 0.00000771895 = 0.0231

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