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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A. Solve the following involving probability. Indicate the type of probability also.

 
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.
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.
1
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
Transcribed Image Text: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. 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. 1 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
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