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. g) What is the approximate probability M is between 3.111 and 3.112? 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.
g) What is the approximate probability M is between 3.111 and 3.112?
h) What is the approximate probability that T is within 2 standard deviations of its
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