A particular fruit\'s weights are normally distributed, with a mean of 760 grams

Question

A particular fruit's weights are normally distributed, with a mean of 760 grams and a standard deviation of 15 grams.
If you pick one fruit at random, what is the probability that it will weigh between 722 grams and 746 grams

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A particular fruit's weights are normally distributed, with a mean of 567 grams and a standard deviation of 25 grams.
The heaviest 3% of fruits weigh more than how many grams?
Give your answer to the nearest gram.

Explanation / Answer

If you pick one fruit at random, the probability that it will weigh between 722 grams and 746 grams

=P(722<X<746)

=0.1697 using excel function as follows:

=NORMDIST(746,760,15,TRUE)-NORMDIST(722,760,15,TRUE)

The heaviest 3% of fruits weigh more than how many grams=614.0198402

This is using excel function =norminv(0.97,567,25)

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