Question

Ten trials are conducted in a Bernoulli process in which the probability of success in a given trial is 0.3. If x the number of successes, determine the following: a. E(x) b. ax c. P(x 5) e. P(x> 4) d. P(4 sxs 8)

Please show each step. I've posted this question twice, received two different answers, and am confused more than ever!!! Please help.

Answer 1

solution Here if the distubution has n independent trials.tube the distubuition is a binonial distubution- then n=10, p=0.3 a Elad= np = 10 (0.3) = 3 6 x = fupq = 10 (0-3 (1-0-3) = [1.45] c) the p.m. f of BiD is play=nex page plx=6= 10 g (6.35 (0.7) = 0.10292 d) Plus 128)=P(248) - P(KLU) =P(248)-P(243 (use binomial Cumulative = 0.99986-0.64961 Lprobabilities = 18.35025 @ P(x>4) = 1- P(XL4)=1-0.8497 =[0.1503]