B. Fruity Combination – In the second round, Shawn has to correctly guess the combination of four fruits that will be randomly selected by a slot machine. Based on the previous games, there are 5 fruits to choose from with chances of being selected in every slot as follows: 10% for apple, 15% for orange, 20% for banana, 25% for mango, and 30% for blueberry. A fruit can be selected once, multiple times, or not at all. Shawn will play the game by guessing the number of apple, orange, banana, mango, and blueberry in the four slots that will be randomly filled. Every slot that is correctly identified is worth an additional prize money. Also, he will win a brand new car if he guesses the correct fruit combination This round illustrates a random experiment with multinomial distribution. To help Shawn decide, below is the partial table for the means and standard deviations of the random variable, Y or the number of times the fruit is selected in the four slots by the slot machine. Color Apple Orange Banana Mango Blueberry E[Y] 0.4 0.6 0.8 1.2 SD[Y] 0.6000 0.7141 0.8000 0.8660 Given this, the fruit that will least likely be selected is Click or tap here to enter text., while the Blueberry fruit is the most probable one. In addition, the number of Blueberries that will be chosen deviates from the mean of 1.2 by Click or tap here to enter text.. It is also expected that the number of Mango(s) in four randomly selected fruits is Click or tap here to enter text.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...

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B. Solve the probability and show solutions.

Transcribed Image Text:B. Fruity Combination – In the second round, Shawn has to correctly guess the combination of four fruits that will be randomly selected by a slot machine. Based on the previous games, there are 5 fruits to choose from with chances of being selected in every slot as follows: 10% for apple, 15% for orange, 20% for banana, 25% for mango, and 30% for blueberry. A fruit can be selected once, multiple times, or not at all. Shawn will play the game by guessing the number of apple, orange, banana, mango, and blueberry in the four slots that will be randomly filled. Every slot that is correctly identified is worth an additional prize money. Also, he will win a brand new car if he guesses the correct fruit combination This round illustrates a random experiment with multinomial distribution. To help Shawn decide, below is the partial table for the means and standard deviations of the random variable, Y or the number of times the fruit is selected in the four slots by the slot machine. Color Apple Orange Banana Mango Blueberry E[Y] 0.4 0.6 0.8 1.2 SD[Y] 0.6000 0.7141 0.8000 0.8660 Given this, the fruit that will least likely be selected is Click or tap here to enter text., while the Blueberry fruit is the most probable one. In addition, the number of Blueberries that will be chosen deviates from the mean of 1.2 by Click or tap here to enter text. It is also expected that the number of Mango(s) in four randomly selected fruits is Click or tap here to enter text.

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