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Pavlova-9
1 month ago
5

Many urban zoos are looking at ways to effectively handle animal waste. One zoo has installed a facility that will transform ani

mal waste into electricity. To estimate how many pounds of waste they may have to fuel the new facility they began keeping meticulous records. They discovered that the amount of animal waste they were disposing of daily is approximately Normal with a mean of 348.5 pounds and a standard deviation of 38.2 pounds. Amounts over 350 pounds would generate enough electricity to cover what is needed to for the entire aquarium that day. Approximately what proportion of the days can the zoo expect to obtain enough waste to cover what is needed to run the entire aquarium for the day?
(A) 0.484
(B) 0.499
(C) 0.516
(D) 0.680
(E) 0.950
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0

Answer: The right answer is (A).

Step-by-step explanation:

Let X be the daily waste amount produced. X is distributed in a way that is close to Normal with an average of 348.5 pounds and a standard deviation of 38.2 pounds.

P(X > 350) = Normalcdf(lower: 350, upper: 1000, mean: 348.5, SD: 38.2) = 0.484.

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N_{10} = 55

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