SOLUTION: The sitting height (from seat to top of head) of drivers must be considered in the design of a new car model. Men have sitting heights that are normally distributed with a mean of

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 Click here to see ALL problems on Probability-and-statistics Question 529437: The sitting height (from seat to top of head) of drivers must be considered in the design of a new car model. Men have sitting heights that are normally distributed with a mean of 36.0 inches and a standard deviation of 1.4 inches. Engineers have provided plans that can accommodate men with sitting heights up to 38.8 heights, but taller men cannot fit. If a man is randomly selected, find the probability that he has a sitting height less than 38.8 inches. Is it possible for a customer paying by check to spend more than \$185? Explain. Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!The sitting height (from seat to top of head) of drivers must be considered in the design of a new car model. Men have sitting heights that are normally distributed with a mean of 36.0 inches and a standard deviation of 1.4 inches. Engineers have provided plans that can accommodate men with sitting heights up to 38.8 heights, but taller men cannot fit. If a man is randomly selected, find the probability that he has a sitting height less than 38.8 inches. --- z(38.8) = (38.8-36)/1.4 = 2 ---- P(x < 38.8) = P(z < 2) = normalcdf(-100,2) = 0.9772 ===================== Cheers, Stan H. =====================