In a survey of male infants from 3 to 5 months of age, head circumference was found

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In a survey of male infants from 3 to 5 months of age, head circumference was found to be normally distributed, with a mean of 42.9 centimeters and a standard deviation of 1.5 centimeters.

Find the probability that a randomly selected infant from the survey had a head circumference of

(a) less than 41 centimeters,

(b) between 41 and 45 centimeters, and

(c) more than 45.8 centimeters. Identify any unusual events in parts (a)–(c). Explain your reasoning.

Find the indicated probabilities. If convenient, use technology to find the probabilities.

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