Question 145175This question is from textbook
: I am having trouble trying to figure out how to work this probability problem. Could anyone please help me with these? Thank you so much!
In order for a Fast Food restaurant to receive a superior rating, the kitchen staff must receive a rating of at least 4 on a scale from 1 to 5 and the counter crew must receive a rating of 5 on a scale from 1 to 5 during a corporate review. The probability of a kitchen crew receiving a score of 4 or better in any given restaurant is 87%. The probability the counter crew receives a rating of 5 is 75% for any given restaurant.
a. Find the probability that a restaurant receives a superior rating.
b. Find the probability that a restaurant will not receive high enough scores in either category.
c. Find the probability that a restaurant will not receive a superior rating. (Hint: Think carefully about this one.)
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In order for a Fast Food restaurant to receive a superior rating, the kitchen staff must receive a rating of at least 4 on a scale from 1 to 5 and the counter crew must receive a rating of 5 on a scale from 1 to 5 during a corporate review.
The probability of a kitchen crew receiving a score of 4 or better in any given restaurant is 87%.
The probability the counter crew receives a rating of 5 is 75% for any given restaurant.
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a. Find the probability that a restaurant receives a superior rating.
P(>=4 and =5) = 0.87 * 0.75 = 0.6525
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b. Find the probability that a restaurant will not receive high enough scores in either category.
P(<4 and <5) = 0.13 * 0.25 = 0.0325
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c. Find the probability that a restaurant will not receive a superior rating. (Hint: Think carefully about this one.)
P(<4 or <5) = 1 - P(>=4 and =5) = 1-0.6525 = 0.3475
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Cheers,
Stan H.
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