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assignment4

# assignment4 - Assignment 4 1 Eight number are selected at...

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Assignment 4 1. Eight number are selected at random from the unit interval. (a) Find the probability that the ﬁrst four numbers are less than 0.25 and the last four are greater than 0.25. (b) Find the probability that four numbers are less than 0.25 and four are greater than 0.25. (c) Find the probability that the ﬁrst three numbers are less than 0.25, the next two are between 0.25 and 0.75, and the last three are greater than 0.75. (d) Find the probability that three numbers are less than 0.25, two are between 0.25 and 0.75, and three are greater than 0.75. (e) Find the probability that the ﬁrst four numbers are less than 0.25 and the last four are greater than 0.75. (f) Find the probability that four numbers are less than 0.25 and four are greater than 0.75. 2. The number of orders waiting to be processed is given by a Poisson random variable with parameter α = λ/nμ , where λ is the average number of orders that arrive in a day, μ is the number of order that can be processed by an employee per day, and

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assignment4 - Assignment 4 1 Eight number are selected at...

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