Question

Industry standards suggest that 12% of new vehicles require
warranty service within the first year. Jones Nissan, sold 10
Nissans yesterday. **(Round the Mean answer to 2 decimal
places and the other answers to 4 decimal places.)**

**a.** What is the probability that none of these
vehicles requires warranty service?

Probability

**b.** What is the probability that exactly one of
these vehicles requires warranty service?

Probability

**c.** Determine the probability that exactly two
of these vehicles require warranty service.

Probability

**d.** What is the probability that less than three
of these vehicles require warranty service?

Probability

**e.** Compute the mean and standard deviation of
this probability distribution.

Mean µ = | |

Standard deviation σ = |

Answer #1

**12% of the new vehicles require warranty service within
the first year. John sold 10 Nissans yesterday.**

**Let, X be the random variable denoting the number of
vehicles, out of these 10, requiring servicing in first
year.**

**So, X~Binomial(10,0.12)**

**(a)**

**P(None of the vehicles require warranty
servicing)**

**=P(X=0)**

**=(10C0)(0.12)0(0.88)10**

**=0.28**

**(b)**

**P(Exactly one requires warranty servicing)**

**=P(X=1)**

**=(10C1)(0.12)1(0.88)9**

**=10*0.12*0.32**

**=0.384**

**(c)**

**P(Exactly two vehicles requires warranty
service)**

**=P(X=2)**

**=(10C2)(0.12)2*(0.88)8**

**=45*0.0144*0.36**

**=0.23**

**(d)**

**P(Less than three vahicles require warranty
service)**

**=P(X=0)+P(X=1)+P(X=2)**

**=0.23+0.38+0.28**

**=0.89**

**(e)**

**X~Binomial(10,0.12)**

**Now, we know that if X~binomial(n,p), its expectation is
np, and its standard deviation is sqrt(npq).**

**So,**

**E(X)**

**=10*0.12**

**=1.2**

**Standard Deviation**

**=sqrt(10*0.12*0.88)**

**=1.03**

industry standards
suggest that 10% of new vehicles require warranty service within
the first year. Jones Nissan, sold 9 Nissans yesterday.
(Round the Mean answer to 2 decimal places and the other
answers to 4 decimal places.)
a.
What is the probability that none of these vehicles requires
warranty service?
Probability
b.
What is the probability that exactly one of these vehicles requires
warranty service?
Probability
c.
Determine the probability that exactly two of these vehicles
require warranty service.
Probability ...

Industry standards suggest that 14% of new vehicles require
warranty service within the first year. Jones Nissan, sold 8
Nissans yesterday. (Round the Mean answer to 2 decimal
places and the other answers to 4 decimal places.)
a. What is the probability that none of these
vehicles requires warranty service?
Probability
b. What is the probability that exactly one of
these vehicles requires warranty service?
Probability
c. Determine the probability that exactly two
of these vehicles require warranty service.
Probability ...

Industry standards suggest that 18% of new vehicles require
warranty service within the first year. Jones Nissan, sold 10
Nissans yesterday. (Round the Mean answer to 2 decimal
places and the other answers to 4 decimal places.)
a. What is the probability that none of these
vehicles requires warranty service?
Probability
b. What is the probability that exactly one of
these vehicles requires warranty service?
Probability
c. Determine the probability that exactly two
of these vehicles require warranty service.
Probability ...

Industry standards suggest that 11 percent of new vehicles
require warranty service within the first year. Jones Nissan in
Sumter, South Carolina, sold 11 Nissans yesterday. (Round your Mean
answer to 2 decimal places and the other answers to 4 decimal
places.)
(a) What is the probability that none of these vehicles requires
warranty service?
Probability=
(b) What is the probability exactly one of these vehicles
requires warranty service?
Probability =
(c) Determine the probability that exactly two of these...

ndustry standards suggest that 14 percent of new vehicles
require warranty service within the first year. Jones Nissan in
Sumter, South Carolina, sold 10 Nissans yesterday. (Round
your mean answer to 2 decimal places and the other answers to 4
decimal places.)
Compute the mean and standard deviation of this probability
distribution.
Determine the probability that exactly two of these vehicles
require warranty service.
What is the probability exactly one of these vehicles requires
warranty service?
What is the...

The industry standards suggest that 9% of new vehicles require
warranty service within the first year. A dealer sold 12 Nissans
yesterday. a. What is the probability exactly one of these
refrigerators requires warranty service?
b. Compute the mean and standard deviation of this probability
distribution.

Suppose 10% of new scooters will require a warranty service
within the first month of its sale. A scooter
manufacturing company sells 1000 scooters in a month. Find the
mean and standard deviation of scooters that
require warranty service.

The average time for a particular LED TV needs ﬁrst service is
415 days with standard deviation of 30 days. The manufacturer gives
one year (365 days) onsite service warranty for newly bought TVs.
Assume that the times for ﬁrst service call are approximately
normally distributed. Let X denote the time until the ﬁrst service
for an LED TV.
a. The distribution of X is (i) Standard normal with mean 0 and
variance 1. (ii) Normal with mean 415 days...

White boxers are dogs that have a genetic disposition for going
deaf within the first year after they are born. Suppose a litter of
seven white boxer puppies contained two dogs that would eventually
experience deafness. A family randomly selected three puppies from
this litter to take home as family pets. (For this problem, define
a success as selecting a dog that will eventually experience
deafness.) Complete parts a through d below. (round all answers to
four decimal places)
a....

Quick Start Company makes 12-volt car batteries. After many
years of product testing, the company knows that the average life
of a Quick Start battery is normally distributed, with a mean of
45.4 months and a standard deviation of 7.7 months.
(a) If Quick Start guarantees a full refund on any battery that
fails within the 36-month period after purchase, what percentage of
its batteries will the company expect to replace? (Round your
answer to two decimal places.)
%
(b)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago