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3. The heights of children 2 years old are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Find the

3. The heights of children 2 years old are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Find the probability of these events. a) A 2-year-old child is taller than 36 inches. P(X>36) = b) A 2-year-old child is shorter than 34 inches. P(X<34) = c) A 2-year-old child is between 30 and 33 inches tall. P(30< X < 33) = - 2 - 4. The long-distance calls made by employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. Answer the following questions. a) What is the probability that a call lasts less than 4 minutes? b) How long do the longest 10% of calls last? (Determine the cutoff point to the longest 10% of calls). Round up your answer to 2 decimal places

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