SHOW ALL THE WORK-BASED 1. Hi-Plains Design is bidding on a project that will earn the company at least $650 million. The competitive bidding process will involve presenting the company's proposal to three successive review panels at the client company, all of which must approve the proposal for Hi-Plains' bid to be successful. If the proposal is approved by the first panel, Hi-Plains will present the proposal to the next panel. If it is approved there, Hi-Plains will present the proposal to the third panel. Hi-Plains estimates that its proposal has a 40% chance of approval at each of the stages. Define \"number of approvals\" as the random variable x. (1) x 0 1 2 3 (2) P(x) .60 .24 .094 .064 x 0 1 2 3 P(x) .60 .24 .090 .068 (3) x 0 1 2 3 (4) P(x) .64 .20 .096 .064 x 0 1 2 3 P(x) .60 .24 .086 .074 Which distribution above shows the proper probability distribution for this random variable? a. Distribution 1 b. Distribution 2 c. Distribution 3 d. Distribution 4 e. None of the above listed distributions 2. Below is a table showing the probability distribution for the random variable x. Compute the expected value of the random variable. x 20 30 40 50 a. 36.4 b. 35.0 c. 32.9 d. 41.3 e. 38.0 P(x) 0.064 0.288 0.432 0.216