Econ214_Problem Set_2016-2017.pdf

Probability that a tyre produced by this firm will

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probability that a tyre produced by this firm will have diameter that is a. Between 35.9990 and 36.0005? b. Less than 35.9985? c. Greater than 36.0004? 8. The weights of bags of cement produced by a company are normally distributed with a mean of 50kg and a standard deviation of 0.75kg. The Managing Director of the company makes a statement to reporters that 95 percent of the bags of cement produced have weights of 51.32kg or less, while 5 percent of the bags of cement have weights of more than 51.32kg. He is incorrect. What figure should be substituted for 51.32kg? 9. A certain company has been engaged in the production of plastic spools for many years, using a certain type of machine. The probability that a machine will be down for repairs next year is 0.5. The firm has 100 such machines, and whether one is down is statistically independent of whether another is down. a. What is the probability that at least 60 machines will be down? b. What is the probability that the number of machines that will be down is at least 44 and at most 58? c. What is the probability that less than 40 machines will be down?
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