We have been given that a particular fruit's weights are normally distributed, with a mean of 610 grams and a standard deviation of 31 grams. We are asked to find the probability that a fruit will weigh between 589 grams and 602 grams.
First of all, we will find z-score corresponding to 589 and 602 using z-score formula.
Now, we need to find .
Using property , we will get:
From normal distribution table, we will get:
Therefore, the probability that one fruit will weight between 589 grams and 602 grams is 0.14918.
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