Question

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 60 miles and a standard deviation of 6 miles. Find the probability of the following events:

A. The car travels more than 63 miles per gallon.

Probability =

B. The car travels less than 52 miles per gallon.

Probability =

C. The car travels between 52 and 66 miles per gallon.

Probability =

Answer #1

Solution :

A.

P(x > 63) = 1 - P(x < 63)

= 1 - P[(x - ) / < (63 - 60) / 6)

= 1 - P(z < 0.5)

= 1 - 0.6915

= 0.3085

Probability = **0.3085**

B.

P(x < 52) = P[(x - ) / < (52 - 60) / 6]

= P(z < -1.33)

= 0.0918

Probability = **0.0918**

C.

P(52 < x < 66) = P[(52 - 60)/ 6) < (x - ) / < (66 - 60) / 6) ]

= P(-1.33 < z < 1)

= P(z < 1) - P(z < -1.33)

= 0.8413 - 0.0918

= 0.7495

Probability = **0.7495**

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 60 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 65 miles per gallon. Probability
=
B. The car travels less than 54 miles per gallon. Probability
=
C. The car travels between 52 and 67 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 55 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 63 miles per gallon.
Probability =
B. The car travels less than 48 miles per gallon.
Probability =
C. The car travels between 49 and 63 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
A. The car travels more than 70 miles per gallon. Probability
=
B. The car travels less than 57 miles per gallon. Probability
=
C. The car travels between 58 and 72 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 50 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 53 miles per gallon.
Probability =
B. The car travels less than 47 miles per gallon.
Probability =
C. The car travels between 42 and 58 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 60 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
Be sure to use at least 4 decimals of accuracy in your answers:
A) The car travels more than 65 miles per gallon.
B) The car travels between 53 and 64 miles per gallon.

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 69 miles per gallon.
Probability =
B. The car travels less than 57 miles per gallon.
Probability =
C. The car travels between 60 and 69 miles per...

15.
A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
Be sure to use at least 4 decimals of accuracy in your
answers.,
A. The car travels more than 71 miles per gallon.
Probability =
B. The car travels less than 61 miles...

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 major U.S. automaker has determined that the city mileage for
its new hybrid gas/electric model is normally distributed with a
mean equal to 52 miles per gallon (μ = 52) and a standard deviation
of 3.7 mpg (σ = 3.7).
A. What is the probability a vehicle would get less than
50 miles per gallon, i.e., P(x < 50)?
Enter your response rounded to 3 decimals, in the format 0.123
with no other text or symbols.
B. What is...

Are you thinking of bypassing a gasoline-fueled car in favor of
a hybrid (gasoline and electric) automobile? Let's take a look
at the relative economics of your possible choice. Let's say the
gasoline-fueled car sells for $21,000 and gets 2525 miles per
gallon (mpg) of fuel, while the competing hybrid car sells for
24,000 and averages 31.931.9mpg. The expected resale value of the
hybrid car is $8,400 and that of the gasoline-only car is
$6,900after five years of anticipated ownership....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago