Data analysis figure 21 below shows the graph of a normal distribution with mean m and standard deviation d, including approximate percents of the distribution of the six regions shown. Suppose the height of a population of 3,000 adult penguins are approximately normally distributed with a mean of 65 centimeters and a standard deviation of 5 centimeters. A. Approximately how many of the adult penguins are 65 and 75 centimeters tall? B. If an adult penguin is chosen at random from the population, approximately what is the probability that the penguin's height will be less than 60 centimeters? Give your answer to the nearest 0.05

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Exercise 16. Data analysis figure 21 below shows the graph of a normal distribution with mean and standard deviation d, including approximate percents of the distribution of the six regions shown.

Suppose the height of a population of 3,000 adult penguins are approximately normally distributed with a mean of 65 centimeters and a standard deviation of 5 centimeters.

A. Approximately how many of the adult penguins are 65 and 75 centimeters tall?

B. If an adult penguin is chosen at random from the population, approximately what is the probability that the penguin's height will be less than 60 centimeters? Give your answer to the nearest 0.05.

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