Consider the following exponential probability density function. 1 f(m) = Z 63/4 forx 2 0 If needed, round your answer to four decimal digits. (a) Choose the correct formula for P(x 5 x0). 0) P(m g 1130) = 1 + e_z\"/4 (ii) P(m s x0) = 1 ergo/4 (iii) P(a: g 11:0) 2 1 + 830/4 (iV) P(a: 5 $0) = 1 6'3\"\" w (b) Find P(X s 2). :19 (c) Find P(x 2 3). 0 (d) Find p(x s 5). 0 (e) Find P(2 s x s 5). 0 Consider a Poisson distribution with p = 6. If needed, round your answer to four decimal digits. (a) Choose the appropriate Poisson probability mass function. (i) _ 6%\" (ii) _ 6365 6 6 - 6m 6 (III) at) 2 93:! (Iv) at) I :! w (b) Compute f(2). 0 Consider a binomial experiment with n = 10 and p = 0.10. (a) Compute (\"(0). If required, round your answer to four decimal places. 0.3487 \\10 (b) Compute (\"(2). If required, round your answer to four decimal places. 0.1937 \\10 (c) Compute P(x 5 2). If required, round your answer to four decimal places. 0