The Nissan Leaf (Leading, environmentally friendly, Affordable, Family car) is a five-door hatchback electric car manufactured by Nissan and introduced in 2010. The combined fuel economy of the Nissan is 99 miles per gallon (mpg) gasoline equivalent. Assume the mpg for the Nissan Leaf is normally distributed with mean 99 and standard deviation S, N(99, 8). The cumulative distribution function, F(x) for a normally distributed random variable with mean 99 and standard deviation 8 can be generated with the Excel function: NORMDIST(x,99,8, TRUE) and is given below. (NOTE: the random variable X is continuous X F(x 95 0.3085 96 0.3538 97 0.4013 98 0.4503 99 0.5000 100 0.5497 101 0.5987 102 0.6462 103 0.6915 104 0.7340 105 0.7734 a. Use the table above to find P(X 105). d. Use the Excel function NORM.DIST to find P(X 105). (Same as part c). g. Use the Excel function NORM.DIST to find P(X > 105) if the mpg for the Nissan Leaf is normally distributed with mean 99 and standard deviation 2.As a Nissan Leaf owner, would you be more confident that you would get 105 mpg or better if mpg was distributed N(99, 8) or N(99, 2)? Explain how you reached your conclusion. h . Find the mpg that the lower 5% of Nissan cars achieve if mpg is distributed N(99,8). i. Find the mpg that the upper 5% of Nissan cars achieve if mpg is distributed N(99,8)