A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win food or cash prizes. According to the company, the probability of winning a prize (large or small) with any eligible purchase is 0.123. Consider your next 45 purchases that produce a game piece. Calculate the following:

For parts (a) through (d), express your answer as a decimal with 4 decimal places.

a) What is the probability that you win 5 prizes?

b) What is the probability that you win more than 7 prizes?

c) What is the probability that you win between 4 and 7 (inclusive) prizes?

d) What is the probability that you win 3 prizes or fewer?

Suppose a regional poll reveals that 75% of small business advertise in the local newspaper. Suppose a list of local business are called until one is found that advertises in the local newspaper. The conditions of a Geometric Distribution are met:

• The decision of one small business to advertise doesn't affect the others. (independent observations)
• Each business does or does not advertise in the local paper. (binary outcomes)
• The probability of a "success" is the same for each observation. (p=0.75p=0.75)

1. What is the probability that the third business called advertises in the local newspaper? P1=
2. What is the probability that the business is found on the first, second, or third call? P2=
3. What is the probability that the business is found in more than 4 calls? P3=
4. What is the probability that the business is found between 3 and 9 calls? P4=

An actress has a probability of getting offered a job after a try-out of 0.01. She plans to keep trying out for new jobs until she gets offered. Assume outcomes of try-outs are independent. Hint: Use a geometric random variable.

Find the probability she will need to attend more than 5 try-outs.

73% of a basketball player's free throw shots are successful. In a given game, find the probability that (a) her first successful freethrow shot is shot number four. (b) she makes her first successful freethrow within the first two shots. (c) she takes more than seven shots to make her first successful free throw.

Round all answers to four decimal places.

1 out of every 5 kid's meals contain a toy car. Find the probability that (a) You must purchase eight kid's meals to find a toy car. (b) You must purchase fewer than eight kid's meals to find a toy car. (c) A toy car is not in any of the first five kid's meals you purchase.

Round all answers to four decimal places.