The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the g

Question

The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.2 miles per gallon. (a) What proportion of hybrids gets over 61 miles per gallon? (b) What proportion of hybrids gets 50 miles per gallon or less? left parenthesis c right parenthesis What(c) What proportion of hybrids gets between 59 and 62 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?

Explanation / Answer

a) P(X>61)

= P(Z>(61-56)/3.2)

= 0.0591

b) P(X<50)

= P(z<(50-56)/3.2)

= 0.0304

c) P(59<x<62)

= P((59-56)/3.2<z<(62-56)/3.2)

= 0.1439

d) P(X<45)

= P(z<(45-56)/3.2)

= 0.0003

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.