Question

(01.06 LC) The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90...

(01.06 LC)

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams? (3 points)

99.7%

95%

68%

47.5%

34%
Math   Statistics-And-Probability   
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Answer #1

Solution:

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams?

Answer: 95%

Explanation: We have to find:

Using the z-score formula, we have:

  

  

Now using the standard normal table, we have:

Therefore, the correct option is 95%

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