Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 2.1 inches. Suppose we collect a random sample of 66 adult males. What is the probability that the average chest circumference of this group will be exactly 39.98 inches?Give your answer to four decimal places. If the question cannot be answered with the information given, enter -1 as your answer.
Question
Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 2.1 inches. Suppose we collect a random sample of 66 adult males. What is the probability that the average chest circumference of this group will be exactly 39.98 inches?Give your answer to four decimal places. If the question cannot be answered with the information given, enter -1 as your answer.
Solution
The probability of a continuous random variable taking on any specific value is always 0. This is because there are an infinite number of possible values a continuous random variable can take on. So, the probability that the average chest circumference of a group of 66 adult males is exactly 39.98 inches is 0.0000.
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