Question 1 a) On average 2.5 faulty reports are made to a company's switchboard per day. i. Name the random variable present in this problem and state its distribution. Calculate the probability that ii. FOUR faulty re ports will be made on Monday iii. Less than 3 faulty reports in a 5-day work week b) The number of attempts at shooting goals made by a netballer in a toumament can be modelled by a binomial distribution with a probability of success equal to 0.35. (i) In a sample of 12 attempts at shooting goals, calculate the probability that EXACTLY 4 were success ful. (ii) Given that the netballer made a total of 120 attempts at shooting goals in a toumament, calculate the expected number of success ful shoots.

Question 1 a) On average 2.5 faulty reports are made to a company's switchboard per day. i. Name the random variable present in this problem and state its distribution. Calculate the probability that ii. FOUR faulty re ports will be made on Monday iii. Less than 3 faulty reports in a 5-day work week b) The number of attempts at shooting goals made by a netballer in a toumament can be modelled by a binomial distribution with a probability of success equal to 0.35. (i) In a sample of 12 attempts at shooting goals, calculate the probability that EXACTLY 4 were success ful. (ii) Given that the netballer made a total of 120 attempts at shooting goals in a toumament, calculate the expected number of success ful shoots.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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