SOLUTION: Sketch the graph and solve the given problem. The average weight of insects for a laboratory experiment is 13.2 grams with a standard deviation of 0.8 grams. What is the probabili

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Question 1193759: Sketch the graph and solve the given problem.
The average weight of insects for a laboratory experiment is 13.2 grams with a standard deviation of 0.8 grams. What is the probability of randomly selecting insects with weights of
A. at most 14 grams
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website!
.

It is about finding the area under the normal curve.

Use free of charge online calculator

https://onlinestatbook.com/2/calculators/normal_dist.html

specially intended for this purpose.

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
mean is 13.2 grams.
standard deviation is 0.8 grams.
z-score for 14 grams is z = (14 - 13.2) / .8 = 1.
area to the left of that z-score = .8413.
that's the probability of randomly selecting insects with weight of at most 14 grams.
what this says is that 84.13% of the insects randomly selected will have weights of 14 grams or less.
here's the graph.