Answer to Question #65598 in Statistics and Probability for devangi

Question

For the random variable X with the following probability density function
f (x) ={2e^(-2x); 0 is greater than equal to x and 0; 0 is smaller than x
find
i) ) P (| X − μ | >1
ii) Use Chebyshev’s inequality to obtain an upper bound on P[| X − μ | >1] and
compare with the result in (i).