(Solved): 57. Tall men: Heights of men in a certain city are normally distributed with mean 70 inches. Sixtee ...

57. Tall men: Heights of men in a certain city are normally distributed with mean 70 inches. Sixteen percent of the men are more than 73 inches tall. What percentage of the men are between 67 and 70 inches tall? 46. Do you carpool? Let $$X$$ represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probabilitydistribution of $$X$$ is as follows. a. Find $$P(2)$$. b. Find $$P($$ More than 3$$)$$. c. Find the probability that a car has only one occupan d. Find the probability that a car has fewer than four occupants. e. Compute the mean $${?}_X$$. f. Compute the standard deviation $${?}_X$$. g. To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this go been met?