Question

3. (20 points) (a) Use the binomial probability formula to construct the probability distribution for Bernoulli trials with given number of trials n 5 and the probability of success p 0.35 x P(X x) (round to 4 decimals) 0 2 4 (b) What is the probability that X is 4? (c) What is the probability that X is at least 4? (d) Find the mean and the standard deviation ? of X (round to 2 decimals).

Answer 1

0 c Given that | | sco (0.35) (1-0.35)5-0 o. l160 o.3124 0.3364 0.181 0 O48S 0.0053 2 2 40 35 (.35) 5, s (0.35)(i-o.35)5-s

2. the p bability thot x i42 Solution Pix440.3-35) A(S-4)1 (5) (0.35)4 0.5) what is the p babilitz that x t least ク : (5)(0.35) (0.65) +)(.33)(0.65) 0.OS402 Px24) 0.0540

Eind the mean u aned +the standaarl Soluticn mean (x)-시드 r) p 三(5) (0.35) 6" =N(5)(0.35)((-0.35) 1.0