Provide Explanation

Shawn will be joining the gameshow - Game of Chance! and he wants to know his chances of winning by studying the mechanics of the gameshow's first two rounds. A. What's in the Bin? - In the first round, Shawn has to guess the item hidden in each of the 6 distinct bins. In every bin, he will be given three options to choose from: one is the correct hidden item and the other two are the incorrect ones. Every correctly guessed item is worth 10,000 pesos, and if Shawn guesses all 6 items correctly, he will win a brand new house and lot. (8 points) Suppose the random variable, X, is the number of correctly guessed items for the six bins. This illustrates a random experiment following a distribution with number of trials, n, equal to and probability of correctly guessing an item equal to Accordingly, below is the probability distribution table for the number of correctly guessed items, X. X 0 2 3 4 5 6 P[X=x] 0.0878 0.2634 0.3292 0.2195 0.0823 0.0165 In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is While the chance that he will win a brand new house and lot is