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In a bookshop, the weights of books are modelled by a normal distribution with mean 8.5kg and standard deviation 1.5 kg
(a) Determine the probability that a randomly selected book will weigh between 8 kg and 9 kg
(b) A hardcover will be given by the store as a gift to its customer. The cover has a normal distribution with mean 3.5 kg and standard deviation 0.4 kg. What is the probability that a randomly selected hard covered book will weigh more than 7.6 kg?
(c) Determine to two decimal places the weight exceeded by 30% of the hard covered books.
(d) 50 books were selected from the uncovered books, what is the probability that more than half will weigh less than 9 kg?
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