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The mean weight for crates of apples are normally distributed with a mean weight of 34.6...

The mean weight for crates of apples are normally distributed with a mean weight of 34.6 pounds and a standard deviation of 2.8 pounds. Considering 40 crates of apples, what is the probability that the mean weight is more than 33.5 pounds?

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Answer #1

The mean weight of crates of apples are normally distributed with mean weight of 34.6 pounds, and a standard deviation of 2.8 pounds.

Now, we are considering 40 crates of apples.

We have to find the probability that the mean weight is more than 33.5 pounds.

Now, for the 40 crates of apples, let the mean weight of the crates of apples is X.

Then, X follows normal distribution with mean 34.6 and standard deviation of

We have to find the probability

So, the required answer is 0.9934.

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