A random variable X is uniformly distributed from 1 to 1 Fin

A random variable X is uniformly distributed from -1 to 1. Find the probability that the numerical value of a single sample of X differs from E(X) by

Solution

A random variable X is uniformly distributed from -1 to 1. Find the probability that the numerical value of a single sample of X differs from E(X) by

Expectation = (a + b)/2 = 0

Variance = (b - a)2/12 = 0.333333

Standard deviation = 0.5773

P( x >0.5773) = 0.2114

b) more than 4 x

P( x >4*0.5773) = P( x > 2.3092) = 0

A random variable X is uniformly distributed from -1 to 1. Find the probability that the numerical value of a single sample of X differs from E(X) bySolutionA r

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