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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 Winter '10
 khkjk
 Normal Distribution, Standard Deviation, Variance, Probability theory, CDF

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