Suppose you are studying the weights of house cats. You find their weights are normally distributed with a mean of 11.1 pounds and a standard deviation of 2.6 pounds. (a) Find the probability that one randomly selected house cat weighs LESS than 10 pounds. (b) Suppose that you find a house cat that is at the 92nd percentile in terms of weight. How much does it actually weigh in pounds? (c) Find the probability that 5 randomly selected house cats have an AVERAGE weight LESS than 10 pounds. (d) Find the probability that 5 randomly selected house cats ALL weigh LESS than 10 pounds. (e) Find the probability that 10 randomly selected house cats have a TOTAL weight of MORE than 120 pounds.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose you are studying the weights of house cats. You find their weights are normally distributed with a mean of 11.1 pounds and a standard deviation of 2.6 pounds.

(a) Find the probability that one randomly selected house cat weighs LESS than 10 pounds.

(b) Suppose that you find a house cat that is at the 92nd percentile in terms of weight. How much does it actually weigh in pounds?

(c) Find the probability that 5 randomly selected house cats have an AVERAGE weight LESS than 10 pounds.

(d) Find the probability that 5 randomly selected house cats ALL weigh LESS than 10 pounds.

(e) Find the probability that 10 randomly selected house cats have a TOTAL weight of MORE than 120 pounds.

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