H E Question H The nean gas mileage for a hybrid aar 57 mles per galon suppose t
ID: 3233001 • Letter: H
Question
H E Question H The nean gas mileage for a hybrid aar 57 mles per galon suppose that the gasoline mieage is approeimately normally distributed with a a standard d of 35 mies per galon. a)What proponon of hybrids gets over 60 miles p (b) What proponor of hybrids gets 52 mies per galonorless? (c) Whatproporton of hybrids gets between 57 and galor? she probabary that a selected hybrid less than 46 per 61 miles per (d)What Clok the loon to view a table of areas under the normal curve. (a) The proportion of hybrids that gets over 60 mars per galon is (Round to four decimal places as needed. (b) The proponon of hytrds that gets 52 mars per galon or essis (Round to four decimal paces as needed. Ich The proponor of hybrids that gets between 57 and61 mins per galonis (Round to four deoma places as needed (d) The protatiny that a randomly selected Mytnd gets less than 46 mies per galonis Enter your answer in .ach of the answer boxes.Explanation / Answer
Mean = 57 miles per gallon
Standard deviation = 3.5 miles per gallon
a) P(X > 60 miles per gallon)
= 1 - P(X<60)
= 1 - P(Z < (60-57)/3.5)
= 1 - P(Z < 0.86)
= 1 - 0.8051
= 0.1949
b) P(X < 52)
= P(Z < (52 - 57)/3.5)
= P(Z < -1.43)
= 0.0764
c) P(57 < X < 61)
= P(X <61) - P(X<57)
= P(Z < (61-57)/3.5) - 0.5
= P(Z < 1.14) - 0.5
= 0.8729 - 0.5
= 0.3729
d) P(X < 46)
= P(Z < (46 - 57)/3.5)
= P(Z < -3.14)
= 0.0008
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.