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5. Using Table B, if N 12 and P 0.50, a. What is t he probability o f getting exactly 1 0 P events? b.

5. Using Table B, if N 12 and P 0.50,

a. What is t he probability o f getting exactly 1 0 P events?

b. What is the probability of getting 11 or 12 P events?

c. What is t he probability o f getting at l east 1 0 P events?

d. What is the probability of getting a result as extreme as or more extreme than 10 P events

6. Using Table B, if N 14 and P 0.70,

a. What is t he probability o f getting exactly 1 3 P events?

b. What is t he probability of getting at l east 1 3 P events?

c. What is the probability of getting a result as extreme as or more extreme than 13 P events?

8. An individual lips nine fair coins. If she allows only a head or a tail with each coin,

a. What is the probability they all will fall heads?

b. What is t he probability t here w ill b e seven or more heads?

c. What is the probability there will be a result a s extreme as or more extreme than seven heads?

12. A student is taking a t rue/false exam with 15 questions. If he guesses on each question, what is the probability he will get at least 13 questions correct?

13. A student is taking a multiple-choice exam with 16 questions. Each question has five alternatives. I f the student guesses on 12 of the questions, what is the probability she will guess at least 8 correct? Assume all of the alternatives are equally likely for each question on which the student guesses

20. Twenty students living in a college dormitory participated in a taste contest between the two leading colas.

a. If there really is no preference, what is the probability that all 20 would prefer B rand X to Brand Y?

b. If there really is no preference, what is t he probability t hat at l east 17 would prefer B rand X to Brand Y?

c. H ow m any o f t he 20 students would have to prefer Brand X before you would be willing to conclude that there really is a preference for Brand X?

21. In y our town, t he n umber o f individuals voting in the next election is 800. Of those voting, 600 are Republicans. If you randomly sample 60 individuals, one at a time, from the voting population, what is t he probability t here will be 42 or more Republicans in the sample? Assume the probability of getting a Republican on each sampling stays the same

E1. Electric cars now represent 5.2% of all cars in Canada. If you were to randomly select 1700 people, what is the probability that more than 90 own electric cars?

E2. According to the results of the "Student Course Experience Survey" from last fall/winter 87% of student were in second year. If you randomly select 9 people, what is the probability that exactly 7 were in second year?

E3. It has been estimated that 65% of families have a pet. If you select 5 families, what is the probability that at least one family has a pet.?

E4. A deck of cards has 52 cards. These are split evenly into 4 suits (spades and clubs that are black, and hearts and diamonds that are red) and there are 13 cards in each suit. You select one card, record what suit it is and then replace it back in deck and shuffle the deck before selecting the next card. If you select 6 cards in this manner what is the probability that more than 4 will be Diamonds?

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