A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard deviation of 29 grams. If you pick 8 fruits at random, then 17% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard deviation of 29 grams.

If you pick 8 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?

Give your answer to the nearest gram.

Expert Solution
Step 1

given data 

normal distribution

μ = 256σ = 29n = 8P(x¯>z) = 0.17

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