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 10000 pesos, and if Shawn guesses all 6 items correctly, he will win a brand new house and lot. Suppose the random variable, X, is the number of correctly guessed items for the six bins. This illustrates a random experiment following a binomial distribution with number of trials, n, equal to 6 and probability of correctly guessing an item equal to 1/3. Accordingly, below is the probability distribution table for the number of correctly guessed items, X. Please see image In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is ________. While the chance that he will a brand new house and lot is ______.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 10000 pesos, and if Shawn guesses all 6 items correctly, he will win a brand new house and lot. Suppose the random variable, X, is the number of correctly guessed items for the six bins. This illustrates a random experiment following a binomial distribution with number of trials, n, equal to 6 and probability of correctly guessing an item equal to 1/3. Accordingly, below is the probability distribution table for the number of correctly guessed items, X. Please see image In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is ________. While the chance that he will a brand new house and lot is ______.
Accordingly, below is the probability distribution table for the number of correctly guessed items, X.
1
4
P[X=x]
0.0878
0.2634
0.3292
0.2195
0.0823
0.0165
Transcribed Image Text:Accordingly, below is the probability distribution table for the number of correctly guessed items, X. 1 4 P[X=x] 0.0878 0.2634 0.3292 0.2195 0.0823 0.0165
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