A particular fruit's weights are normally distributed, with a mean of 776 grams and a standard deviation of 18 grams. If you pick 18 fruit at random, what is the probability that their mean weight will be between 778 grams and 785 grams?  Round answer to at least 4 decimal places.

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A particular fruit's weights are normally distributed, with a mean of 776 grams and a standard deviation of 18 grams.

If you pick 18 fruit at random, what is the probability that their mean weight will be between 778 grams and 785 grams?

 Round answer to at least 4 decimal places.

 

Expert Solution
Step 1

The question is about central limit theorem

Given :

Pop. mean weight of fruits ( μ ) = 776 grams

Pop. std. deviation of fruits ( σ ) = 18 grams

Randomly selected no. of fruits ( n ) = 18

 

To find :

Prob. that mean weight will between 778 grams and 785 grams

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