1. What are the characteristics of a binomial distribution? 2. Prepare a table and a graph for a binomial distribution with p= 0.4 and n- 10. 3. A salesperson estimates that 30% of the people who come into the store make a purchase. Find the binomial distribution for the number of sales if 10 people come into the store. 4. A basketball player makes foul shots 78% of the time. In a game, the player has six foul shot attempts. What is the expected number of baskets?

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6. An examination consists of 50 multiple-choice items, cach with 4
possible answers. What is the probability of guessing 25 or more
correct answers?
7. A bank found that 25% of its loans to new small businesses become
delinquent. Ten small businesses are selected randomly from the
bank's files.
a) What is the probability that three of them are delinquent?
b) What is the probability that at least three of them are delinquent?
e) What is the expected delinquency?
Part B. Geometric Distribution
8. Explain why rolling a die until a 3 shows can be modelled by a
geometric distribution.
9. In a shoot out in a hockey competition, a player scores on 80% of his
shots.
a) What is the probability that the player will not miss the goal until his
tenth try?
Transcribed Image Text:6. An examination consists of 50 multiple-choice items, cach with 4 possible answers. What is the probability of guessing 25 or more correct answers? 7. A bank found that 25% of its loans to new small businesses become delinquent. Ten small businesses are selected randomly from the bank's files. a) What is the probability that three of them are delinquent? b) What is the probability that at least three of them are delinquent? e) What is the expected delinquency? Part B. Geometric Distribution 8. Explain why rolling a die until a 3 shows can be modelled by a geometric distribution. 9. In a shoot out in a hockey competition, a player scores on 80% of his shots. a) What is the probability that the player will not miss the goal until his tenth try?
Part A. Binomial Distributions
1. What are the characteristics of a binomial distribution?
2. Prepare a table and a graph for a binomial distribution with p 0.4
and n = 10.
3. A salesperson estimates that 30% of the people who come into the
store make a purchase. Find the binomial distribution for the number
of sales if 10 people come into the store.
4. A basketball player makes foul shots 78% of the time. In a game, the
player has six foul shot attempts. What is the expected number of
baskets?
5. A department store prints scratch-and-save discount coupons to
distribute to its customers. The numbers for each percent discount
are shown in the table.
Number of Each Type of
Discount Available
Percent
Discount
60%
50
50%
25 000
30%
50 000
10%
500 000
Determine the expected percent discount.
Transcribed Image Text:Part A. Binomial Distributions 1. What are the characteristics of a binomial distribution? 2. Prepare a table and a graph for a binomial distribution with p 0.4 and n = 10. 3. A salesperson estimates that 30% of the people who come into the store make a purchase. Find the binomial distribution for the number of sales if 10 people come into the store. 4. A basketball player makes foul shots 78% of the time. In a game, the player has six foul shot attempts. What is the expected number of baskets? 5. A department store prints scratch-and-save discount coupons to distribute to its customers. The numbers for each percent discount are shown in the table. Number of Each Type of Discount Available Percent Discount 60% 50 50% 25 000 30% 50 000 10% 500 000 Determine the expected percent discount.
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