Question

In: Statistics and Probability

A particular fruit's weights are normally distributed, with a mean of 392 grams and a standard...

A particular fruit's weights are normally distributed, with a mean of 392 grams and a standard deviation of 21 grams.

If you pick one fruit at random, what is the probability that it will weigh between 339 grams and 384 grams

Solutions

Expert Solution

Let X denotes a particular fruit's weight.

X ~ N( = 392, = 21)

We have to find the probability that a random fruit will weigh between 339 grams and 384 grams .

                                  

                                  

                                  

                                  

                                       (Value from z table)

The probability that it will weigh between 339 grams and 384 grams is 0.3461.

z table :


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