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VMariaS [17]
4 years ago
11

A particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams. The heavie

st 2% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Mathematics
1 answer:
posledela4 years ago
5 0

Answer:

We get that the heaviest of fruits weigh 766.84 grams.

Step-by-step explanation:

We know that a particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams.

We have:

\mu=738\\\\\sigma=14

We calculate x:

P(X

We use the standard normal table and we get: Z=2.06.

So, we get

2.06=\frac{x-738}{14}\\\\x-738=28.84\\\\x=766.84

We get that the heaviest of fruits weigh 766.84 grams.

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