6. Let X be a uniform random variable on the interval [0, b]. Determine b so that σ = 2 √ µ.
For a uniform distribution, = (a + b)/2
=
When = 2
,
2 =
4
4 =
(b-a)2/12
=
(b-a)2/48
(a+b)/2 = (b-a)2/48
Given that, a = 0
Therefore,
b/2 = b2/48
b = b2/24
1 = b/24
b = 24
6. Let X be a uniform random variable on the interval [0, b]. Determine b so...
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