a a a a a a

6.5

6.35 a

b c d e

6.36 a

b c

6.37 a

b c

6.38 a

b c d e

6.39 a

b c d e

6.40 a

b c 4 4 4 4 4 4 n p q n p q 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 The Binomial Probability Distribution EXERCISES Thus, for the number of heads when a coin is tossed 100 times 100 25 25 5 2 2 1 1 2 2 n p . x P x x x x n p . x P x x x x n p . x x x x x x n p . x x x x x x Which of the following are binomial experiments? For those that are not, indicate which part of the definition of a binomial experiment does not apply. Tossing a fair coin 1000 times and counting the number of times a head appears Tossing a fair coin and counting the number of tosses before a head appears Checking five students for drug use from a class of 30 students in which 10 use drugs A state agency randomly selects 20 liquor stores, with replacement, and counts the number of stores involved in price fixing A shipment of 40 appliances contains two defectives. A dealer tests 15 of the appliances and counts the number that fail to meet specifications. Consider a binomial experiment with 4, 6, and the number of successes. Use the formula for to find the probability that 1 2 Consider a binomial experiment with 5, 7, and the number of successes. Use the formula for to find the probability that 3 4 5 Consider a binomial experiment with 11, 4, and the number of successes. Use Appendix Table B.2 to find the probability that is less than 2. is greater than 5 and less than 8. is greater than or equal to 5 and less than or equal to 8. equals 6. is greater than 0. Consider a binomial experiment with 9, 7, and the number of successes. Use Appendix Table B.2 to find the probability that is less than 3. equals 3. is greater than 3 and less than 5. is greater than or equal to 3 and less than or equal to 5. is less than 9. Sixty percent of the voters in a large town are opposed to a proposed development. If 20 voters are selected at random, find the probability that 10 are opposed to the proposed development. More than 13 are opposed to the proposed development. Less than 10 are opposed to the proposed development. 27 ? ? ? ? s s s CHAPTER 6

6.41 a