miles per gallon. (a) What proportion of hybrids gets over 62 miles per gallon?

Question

miles per gallon. (a) What proportion of hybrids gets over 62 miles per gallon? (b) What proport ybrids gets between 58 and 62 miles per gallon? Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 35 ion of hybrids gets 53 miles per gallon or less? (c) What proportion of (d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon? Click the icon to view a table of areas under the normal curve a) The proportion of hybrids that gets over 62 miles per gallon is Round to four decimal places as needed) b) The proportion of hybrids that gets 53 miles per gallon or less is Round to four decimal places as needed) c) The proportion of hybrids that gets between 58 and 62 miles per gallon is Round to four decimal places as needed) d) The probability that a randomly selected hybrid gets less than 46 miles per gallon is Round to four decimal places as needed nter your answer in each of the answer boxes

Explanation / Answer

a) P(x > 62)

= P(z > (62 - 57)/15)

= P(z > 0.33)

= 0.3694

b) P(X < 53)

= P(z < (53 - 57)/15)

= P(z < -0.27)

= 0.3949

c) P(58 < X < 62) = 0.1040

d) P(X < 46)

= P(z < (46 - 57)/15)

= P(z < -0.73)

= 0.2317

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