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Hi Sir,
Can you please explain how I should solve the following questions:
Q1. Suppose θ is a random variable with uniform distribution on the interval [-π/2, π/2]. The value of the distribution function of the random variable X = sinθ at x belonging to [-1,1] is:
a. sin-1(x)
b. sin-1(x) + π/2
c. sin-1(x) + 1/2
d. sin-1(x)/π + π/2
Q2. Suppose X1,...Xn are observed completion times of an experiment with values in [0,1]. Each of these random variables is uniformly distributed on [0,1]. If Y is the maximum observed completion time, then the mean of Y is:
a. [n/n+1}^2
b. n/2(n+1)
c. n/(n+1)
d. 2n/(n+1)
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