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An online video store in the United Kingdom estimates that annual expenditures of members on rentals...

An online video store in the United Kingdom estimates that annual expenditures of members on rentals follow a normal distribution with a mean of £150. It was also found that 20% of all members spend more than £200 in a year. What percentage of members spends more than £220?

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Answer #1

Let X denote the expenditure of members on rentals. then x follows a normal distribution with a mean of £150 and an unknown standard deviation . Here given that 20% of all members spend more than £200 in a year, i.e.

Thus, the probability that a member spends more than £220 is

Thus the corresponding probability is 11.93%

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