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

