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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. a. What is the probability that the height of an 18-year-old man selected at random is between 67 and 69 inches ? b. If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches ?A random sample of 14 evenings in McGraw's household showed that the family received an average of i=2.4 robocalls each day. The sample standard deviation was 3:03. Suppose, it is known that the random variable X, that represents the 'robocalls received by McGraw family each day', is approximately normally distributed. Find a 95% confidence interval for the population mean number of robocalls this family receives each day. Interpret the found confidence interval in the context of this