A particular fruits weights are normally distributed with a

A particular fruit\'s weights are normally distributed, with a mean of 389 grams and a standard deviation of 37 grams. The heaviest 8% weigh more than how many grams?

Solution

Let X be the random variable denoting the weight of the fruit.

Now, X follows Normal distn with mean 389 grams and standard deviation 37 grams.

Now we have the find that value of X ( i.e the weight of fruit ) above which 8% of total fruits will have weight .

we have to find x such that P(X<x)=0.92 . (i.e F(x)=0.92)

By using Minitab Using Path : Calc->Probability Distributions->Normal

We get the value of x as 440.988 grams