Let X1,..., X10 be independent random variables, uniformly distributed over the unit interval [0, 1]. (a) Estimate P(X1 + . . . + X10 2 7) using the Markov inequality. (b) Repeat part (a) using the Chebyshev inequality. (c) Repeat part (a) using the central limit theorem.Let X be an exponential random variable with parameter A. (a) Apply the Markov inequality to bound Pr[X 2 2/A]. (b) Use the Chebyshev inequality to compute the bound. (0) Use the one-sided Chebyshev inequality to compute the bound. (d) Compute the actual probability of this event. 6.5 Let X be an exponential random variable with parameter A. (a) Apply the Markov inequality to bound Pr[X 2 2/X]. (b) Use the Chebyshev inequality to compute the bound. (c) Use the one-sided Chebyshev inequality to compute the bound. (d) Compute the actual probability of this event