# Suppose that the fish in my pond have mean length 20 inches with a standard deviation of 4 inches. What is the probability that in an independent random sample, the total length of 5 fish caught from this pond will be between 95 and 110 inches in length?

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Assume we know nothing else about the distribution of lengths for this population of fish.

Assume we know nothing else about the distribution of lengths for this population of fish.

##### 1 Answer

#### Explanation:

Via the *Law of Eexpectations* we know the following

Let

we know that 1 standard deviation from the mean is about

looking at the chart we see that from the range of