Question 1
a. A manufacturer of metal pistons finds that on an average, 10% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain at least 2 rejects? (5 marks)
b. A website receives hits at a rate of 300 per hour. Find the probability of 10 hits in a given minute. (5 marks)
c. A company pays its employees an average wage of Rs 585/- per day with a standard deviation of Rs 108/-. If the wages are approximately normally distributed, determine the proportion of the workers getting wages between Rs 495/- and Rs 664/- per day. (5 marks)
d. The probability that a new restaurant in a particular city fails in the first year of operation is 0.1. If 15 new restaurants are sampled, use Normal approximation to calculate the probability that more than 5 out of the 15 restaurants fail. (5 marks)
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