Question

# Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie...

Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.699, and the probability of buying a movie ticket without a popcorn coupon is 0.301. If you buy 24 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)

#### Homework Answers

Answer #1

Here, probability of success, p = 0.699

q = 0.301

n = 24

We need to find P(X > 16)

This is equals to

P(X > 16) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24)

Now,

P(X = 17) = 24C17 * 0.69917 * (0.301)7 = 0.1759

Similarly for all others,

P(X = 18) = 24C18 * 0.69918 * (0.301)6 = 0.1589

P(X = 19) = 24C19 * 0.69919 * (0.301)5 = 0.1165

P(X = 20) = 24C20 * 0.69920 * (0.301)4 = 0.0676

P(X = 21) = 24C21 * 0.69921 * (0.301)3 = 0.0299

P(X = 22) = 24C22 * 0.69922 * (0.301)2 = 0.0094

P(X = 23) = 24C23* 0.69923 * (0.301)1 = 0.0019

P(X = 24) = 24C24 * 0.69924 * (0.301)0 = 0.00018

So, P(X > 16) = 0.56

Know the answer?
Your Answer:

#### Post as a guest

Your Name:

What's your source?

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Not the answer you're looking for?
Ask your own homework help question
ADVERTISEMENT
##### Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

ADVERTISEMENT