Question

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 32 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has the following gas mileages. (Round your answers to four decimal places.) (a) less than 26 mpg (b) greater than 34 mpg (c) between 30 and 34 mpg

Answer #1

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with a standard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is the probability that the
average mileage of the fleet is greater than 30.7 mph

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with astandard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is theprobability that the
average mileage of the fleet is greater than 30.7 mpg?

Suppose you buy a new car whose advertised mileage is 23 miles
per gallon (mpg). After driving your car for several months, you
find that its mileage is 18.5 mpg. You telephone the manufacturer
and learn that the standard deviation of gas mileages for all cars
of the model you bought is 1.24 mpg.
a. Find the z-score for the gas mileage of your car, assuming
the advertised claim is correct.
b. Does it appear that your car is getting...

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
3.3 miles per gallon.
(a) What proportion of hybrids gets over 61 miles per
gallon?
(b) What proportion of hybrids gets 52 miles per gallon or
less?
(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...

A Ford Focus manual transmission gets an average of 28 miles per
gallon (mpg) in city driving with a standard deviation of 1.6 mpg.
Assume that gas mileage is normally distributed.
a) If a Focus is selected at random, what is the probability
that it will get more than 31 mpg?
b) What is the probability that a randomly selected Focus will
get between 20 and 30 mpg?
c) What is the probability that a randomly selected Focus will
get...

A car has a gas mileage listing of 28 miles per gallon. You take
the car out on 56 trips and find the average gas mileage to be 25
with a standard deviation of 6 mpg.
a) At the .01 level is the car getting gas mileage less than
expected? (p = 0)
b) True or false: natural variability is the reason for the
change in gas mileage
Answer:

An automobile manufacturer introduces a new model that
averages 27 miles per gallon in the city. A person who plans to
purchase one of these new cars wrote the manufacturer for the
details of the tests, and found out that the standard deviation is
3 miles per gallon. Assume that in-city mileage is approximately
normally distributed (use z score table)
a) What percentage of the time is the car averaging less than
20 miles per gallon for in-city driving.
b)...

Assume that gas mileage for cars is normally distributed with a
mean of 23.5 miles per gallon and a standard deviation of 10 miles
per gallon. Show all work. Just the answer, without supporting
work, will receive no credit.
(a) What is the probability that a randomly selected car gets
between 15 and 30 miles per gallon? (Round the answer to 4 decimal
places)
(b) Find the 75th percentile of the gas mileage distribution.
(Round the answer to 2 decimal...

A car manufacturer claims that the miles per gallon (mpg) of all
its midsize cars can be modeled with a normal model with N(33,
1.70).
What proportion of cars have miles per gallon less than 31.2
[P(x ≤ 31.2 mpg)]?
What proportion of cars will have miles per gallon greater than
36 [P(x ≥ 36 mpg)]?
What proportion of cars will have miles per gallon greater than
29.7 [P(x ≥ 29.7 mpg)]?
What proportion of cars will have miles per...

Suppose that the miles-per-gallon (mpg) rating of passenger cars
is normally distributed with a mean and a standard deviation of
33.4 and 3.4 mpg, respectively. [You may find it useful to
reference the z table.] a. What is the probability that a randomly
selected passenger car gets more than 34 mpg? (Round “z” value to 2
decimal places, and final answer to 4 decimal places.) b. What is
the probability that the average mpg of five randomly selected
passenger cars...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 37 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago