Question

Asked Nov 12, 2019

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Normal distribution problem: Mean = 10; SD = 2; X=8, X=12

A farmer believes that the yields of his tomato plants have a normal distribution with an average yield of 10 lbs. and a standard deviation of 2 lbs. The farmer would like to identify the plants which yield the highest 5% and save them for breeding purposes. Calculate the yield which separates the highest 5% of yields from the lowest 95% of yields.

Q: Do I use a Norm.Dist function in Excel to calculate the highest 5% and the lowest 95%?

Thanking you in advance for your help!

2 Ratings

Step 1

The provided information are:

Step 2

Let *X *be the random variable the average yield of tomato plants. It is given that *X *follows normal distribution with mean = 10 lbs. and standard deviation = 2 lbs.

It is required to find the value of x_{1} for P(X < x_{1}) = 0.95.

Step 3

The value of x1 can be calcula...

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