b) The length of time in minutes a customer queue in a bank is a random variable Y with probability density function S0) - [c(81- y'), 0

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b) The length of time in minutes a customer queue in a bank is a random variable Y with
probability density function
- Jc(81-y²), 0<y <9
0 elsewhere
f(y) =
Compute the value of the constant c and
Find the probability that a customer will wait for more than 3 minutes
Three customers are selected at random, find the probability that exactly 2 of
them had to queue for longer than 3 minutes.
i.
ii.
ii.
Transcribed Image Text:b) The length of time in minutes a customer queue in a bank is a random variable Y with probability density function - Jc(81-y²), 0<y <9 0 elsewhere f(y) = Compute the value of the constant c and Find the probability that a customer will wait for more than 3 minutes Three customers are selected at random, find the probability that exactly 2 of them had to queue for longer than 3 minutes. i. ii. ii.
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