Question

The random variable X is uniformly distributed, X~U[-10,2]. Find Xc so that

Prob(X>Xc) = 0.4

Answer #1

We are to find,

Hence, the value for is -7.6.

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Included all steps. Thanks
The random variable X is uniformly distributed in the interval
[0, α] for some α > 0.
Parameter α is fixed but unknown. In order to estimate α, a
random sample X1, X2, . . . , Xn of independent and identically
distributed random variables with the same distribution as X is
collected, and the maximum value Y = max{X1, X2, ..., Xn} is
considered as an estimator of α.
(a) Derive the cumulative distribution function...

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