Based on the following table of hemoglobin levels for miners, compute the probabilities described below. Assume that the proportion in each category for this set of 90 miners is the true proportion for the population of miners.

a. Compute the probability that a miner selected at random from the population has a hemoglobin level in the 12.0–17.9 range.

b. Compute the probability that a miner selected at random from the population has a hemoglobin level in the 18.0–21.9 range.

c. Compute the probability that a miner selected at random from the population has a hemoglobin level in the 22.0–27.9 range.

d. What is the probability that a miner selected at random will have a hemoglobin count at or above 18.0?

e. What is the probability that a miner selected at random will have a hemoglobin count at or below 21.9?

f. If two miners are selected at random from the “infinite population” of miners with the distribution for the miners in the table, what is the probability that one miner will fall in the lowest class and the other in the highest (i.e., one has a hemoglobin count in the 12.0 to 17.9 range and the other has a hemoglobin count in the 22.0 to 27.9 range)?

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Class Interval for Hemoglobin (g/cc) 12.0-17.9 18.0-21.9 22.0-27.9 Total Number of Miners 2828 24 53 13 90