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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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a) On average 2.5 faulty reports are made to a company's switchboard per day.

  1.  Name the random variable present in this problem and state its distribution. Calculate the probability that:
  2.  FOUR faulty reports will be made on Monday
  3. Less than three reports in a 5-day work week

b) The number of attempts at shooting goals made by a netballer in a tournament can be modeled by a binomial distribution with a probability of success equal to 0.35.

  1. In a sample of 12 attempts at shooting goals, calculate the probability that EXACTLY 4 were successful.
  2. Given that the netballer made a total of 120 attempts at shooting goals in a tournament, calculate the expected number of successful shoots.
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