The mean weight of a fire ant worker is 3.11 mg with a standard deviation of 0.49 mg. Let us assume that the weight of any fire ant is independent from the weight of any other fire ant. A typical fire ant colony contains 240,000 fire ant workers. Suppose we look at the weight of each ant in a typical fire ant colony. Let M be the random variable representing the mean weight of all the worker ants in the colony in mg. Let T = the random variable representing the sum of the weights of all the worker ants in the colony in mg.

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h) What is the approximate probability that T is within 2 standard deviations of its expected value?

The mean weight of a fire ant worker is 3.11 mg with a standard deviation of 0.49 mg. Let us assume that the weight of any fire ant is
independent from the weight of any other fire ant. A typical fire ant colony contains 240,000 fire ant workers. Suppose we look at the
weight of each ant in a typical fire ant colony. Let M be the random variable representing the mean weight of all the worker ants in the
colony in mg. Let T = the random variable representing the sum of the weights of all the worker ants in the colony in mg.
Transcribed Image Text:The mean weight of a fire ant worker is 3.11 mg with a standard deviation of 0.49 mg. Let us assume that the weight of any fire ant is independent from the weight of any other fire ant. A typical fire ant colony contains 240,000 fire ant workers. Suppose we look at the weight of each ant in a typical fire ant colony. Let M be the random variable representing the mean weight of all the worker ants in the colony in mg. Let T = the random variable representing the sum of the weights of all the worker ants in the colony in mg.
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