Question 1

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability
That a cell phone sold last month did not have either a camera or a music player is

Accepted Answer

To find the probability that a cell phone sold last month did not have either a camera or a music player, we need to subtract the probability that it had both from the totals for camera and music player individually and then subtract that result from 100% (since we want the probability of not having either):

100% - (64% - 22%) - (28% - 22%) = 100% - 42% - 6% = 52%

Therefore, the probability that a cell phone sold last month did not have either a camera or a music player is 52%, which corresponds to choice D.

Question 2

The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for
An extended warranty? Data for 420 consumers who purchased digital cameras and
Laptop computers from a leading electronics retailer are summarized in the table. The
Probability that a consumer does not purchase an extended warranty is

Accepted Answer

The probability that a consumer does not purchase an extended warranty is given in the table as 0.42 for digital cameras and 0.83 for laptops. To find the overall probability, we need to calculate the weighted average of these probabilities based on the number of consumers who bought each product.

For digital cameras: 
Probability of not buying extended warranty = 0.42 
Number of consumers = 180 
Weighted probability = 0.42 x 180/420 = 0.18

For laptops: 
Probability of not buying extended warranty = 0.83 
Number of consumers = 240 
Weighted probability = 0.83 x 240/420 = 0.48

Overall probability of not buying extended warranty = 0.18 + 0.48 = 0.66

Therefore, the probability that a consumer buys an extended warranty is 1 - 0.66 = 0.34.

The answer choices are not in the correct format, but the closest one is C) .58, which is the probability of not buying an extended warranty. However, the correct answer for the probability of buying an extended warranty is 0.34, which is not provided as an answer choice.

Question 3

As you enter the bank, you watch four persons in front of you all win $50. The local
branch manager tells you how lucky you are to be throwing the ball while it is on a hot
streak but the friend with you says that you're unlucky because the streak can't continue.
Comment on their statements.

Accepted Answer

The tosses are independent. So if the box and ball are fair, the four winners of $\$ 50$ have no effect on the next person's chances of winning $\$ 50$.

Question 4

During a promotion, Christina's department store offers a mailing "scratch a winner - discount savings." After customers select the items they wish to purchase, they scratch
Their discount sticker from the mailing to determine the discount they will receive. The
Scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount,
Three slices are white and award a 20% discount, and two slices are blue and award a 40%
Discount. The remaining slice is gold and awards a 100% discount if the customer
Scratches that slice! The probability that two customers in a row get a 20% discount is

Accepted Answer

The probability of one customer getting a 20% discount is 3/12 (since there are 3 white slices out of 12 total slices). The probability of two customers in a row both getting a 20% discount is (3/12) x (3/12) = 9/144 or .0625. Therefore, the answer is C.

Question 5

Suppose you visit Christina's department store in the hopes of getting a 100%
discount on your purchases. As you wait your turn in line, there are three gold winners in
a row. The two customers in line behind you begin to discuss what's happened. One
believes that the streak of three gold winners has killed anyone else's chances of getting a
100% discount, while the other says just the opposite… that the wheel's "hot streak"
increases their chances of getting a 100% discount. Comment on these opinions.

Accepted Answer

The answer of Suppose you visit Christina's department store in...

Question 6

The option to buy extended warranties is commonplace with most electronics
purchases. But does the type of purchase affect a consumer's willingness to pay extra for
an extended warranty? Data for 420 consumers who purchased big screen TVs and
laptop computers from a leading electronics retailer are summarized in the table.  
A. What is the probability that a consumer purchases an extended warranty?
b. What is the probability that a consumer purchases a big screen TV and an extended
warranty?
c. What is the probability that a consumer purchases an extended warranty given that
he/she has purchased a big screen TV?

Accepted Answer

The answer of The option to buy extended warranties is...

Question 7

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. Which of the
Following statements about cell phones sold last month is true?

Accepted Answer

The statement "having a camera and having a music player are not mutually exclusive events" is true because 22% of cell phones sold last month had both features. Mutually exclusive events cannot occur at the same time, whereas non-mutually exclusive events can occur simultaneously. Therefore, options A, B, C, and D are not true.

Question 8

The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for
An extended warranty? Data for 420 consumers who purchased digital cameras and
Laptop computers from a leading electronics retailer are summarized in the table. The
Probability that a consumer purchases an extended warranty given that he/she has
Purchased a digital camera is

Accepted Answer

The table indicates that out of the total 420 consumers, 200 purchased digital cameras and 220 purchased laptop computers. Further, out of the 200 consumers who purchased digital cameras, 23 also purchased extended warranties. Thus, the probability that a consumer purchases an extended warranty given that he/she has purchased a digital camera is 23/200 = 0.115 or 11.5%. Therefore, the best choice is B) 0.42, which represents the probability of purchasing an extended warranty given that a laptop computer was purchased (based on the complement rule of probability, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening). This suggests that consumers who purchase laptop computers are more willing to pay extra for extended warranties compared to those who purchase digital cameras.

Question 9

Does it appear that the decision to purchase an extended warranty and type of
electronics (big screen TV or laptop computer) purchased are independent? Explain.

Accepted Answer

The answer of Does it appear that the decision to...

Question 10

During a promotion, Christina's department store offers a mailing "scratch a winner - discount savings." After customers select the items they wish to purchase, they scratch Their discount sticker from the mailing to determine the discount they will receive. The Scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount, Three slices are white and award a 20% discount, and two slices are blue and award a 40% Discount. The remaining slice is gold and awards a 100% discount if the customer Scratches that slice! The probability that a customer gets at least a 40% discount is

Accepted Answer

The answer of During a promotion, Christina's department store offers...

Question 11

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability
That a cell phone sold last month had a camera or a music player is

Accepted Answer

To find the probability that a cell phone sold last month had either a camera or a music player, we use the formula for the union of two sets: P(A or B) = P(A) + P(B) - P(A and B). Substituting the given values, we get 0.64 + 0.28 - 0.22 = 0.70.

Question 12

The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for
An extended warranty? Data for 420 consumers who purchased digital cameras and
Laptop computers from a leading electronics retailer are summarized in the table. The
Probability that a consumer purchases a digital camera and an extended warranty is

Accepted Answer

The answer of The option to buy extended warranties is...

Question 13

It has been reported that men are more likely than women to participate in online
auctions. A recent study found that 52% of Internet shoppers are women and that 35% of
Internet shoppers have participated in online auctions. Moreover, 25% of online
shoppers were men and had participated in online auctions.
A. Construct the contingency table.
b. Are gender and participation in online auctions independent? Explain.

Accepted Answer

The answer of It has been reported that men are...

Question 14

A major airline keeps track of data on how their passengers redeem frequent flyer
miles. They found that in the last year 58% of passengers redeemed them to purchase
tickets for domestic travel, 44% redeemed them to purchase tickets for international
travel, and that 16% redeemed them to purchase tickets for both domestic and
international travel.
A. What is the probability that in the last year a passenger redeemed frequent flyer miles
to purchase a ticket for domestic or international travel?
b. What is the probability that in the last year a passenger did not redeem frequent flyer
miles to purchase a ticket for domestic or international travel?
c. Is redeeming frequent flyer miles to purchase a ticket for domestic and international
travel mutually exclusive? Explain.

Accepted Answer

The answer of A major airline keeps track of data...

Question 15

During a promotion, Christina's department store offers a mailing "scratch a winner - discount savings." After customers select the items they wish to purchase, they scratch Their discount sticker from the mailing to determine the discount they will receive. The Scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount, Three slices are white and award a 20% discount, and two slices are blue and award a 40% Discount. The remaining slice is gold and awards a 100% discount if the customer Scratches that slice! The probability that a customer gets a 10% or 20% discount is

Accepted Answer

There are 6 red slices and 3 white slices out of 12 total slices, so the probability of getting a 10% or 20% discount is:

$$\frac{6+3}{12}=\frac{9}{12}=\frac{3}{4}$$

Therefore, the best choice is D, which represents 9/12.

Question 16

A small manufacturing company recently instituted Six Sigma training for its
employees. Two methods of training were offered: online and traditional classroom.
Management was interested in whether the division in which employees worked affected
their choice of method. Below is a table summarizing the data.  
A. What is the probability that an employee chose online training?
b. What is the probability that an employee is in the quality division and chose online
training?
c. What is the probability that an employee chose online training given that he/she is in
the sales division?

Accepted Answer

The answer of A small manufacturing company recently instituted Six...

Question 17

A recent survey of local cell phone retailers showed that of all smart phones sold last
month, 64% of buyers also owned a tablet of laptop, 28% also owned an iPod type music
player and 22% owned both.
A. What is the probability that a smart phone buyer also owned a tablet/ laptop or a music
player?
5-1

Accepted Answer

The answer of A recent survey of local cell phone...

Question 18

During a promotion, Christina's department store offers a mailing "scratch a winner -
discount savings." After customers select the items they wish to purchase, they scratch
their discount sticker from the mailing to determine the discount they will receive. The
scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount,
three slices are white and award a 20% discount, and two slices are blue and award a 40%
discount. The remaining slice is gold and awards a 100% discount if the customer
scratches that slice!  
A. What is the probability that a customer gets at least a 40% discount?
b. What is the probability that a customer does not get at least a 40% discount?
c. What is the probability that a customer gets a 10% or 20% discount?
d. What is the probability that two customers in a row get a 20% discount?

Accepted Answer

The answer of During a promotion, Christina's department store offers...

Question 19

As an incentive to get new customers, the local branch of a bank launched "bouncing
for bucks." During this week long event, any customer opening a new checking account
with the bank would have the opportunity to throw a bouncy rubber ball into a large box
divided into squares. Each square was labeled with a dollar amount that would be
deposited into his/her new checking account. The way the box was labeled is shown
below. $$\begin{array} { | l | l | l | l | l | } 
\hline 10 & 30 & 10 & 30 & 10 \
\hline 20 & 10 & 50 & 10 & 20 \
\hline
\end{array}$$ 
A. What is the probability that a customer gets $20 or more?
b. What is the probability that a customer gets less than $20?
c. What is the probability that a customer gets $20 or $30?
d. What is the probability that two customers in a row get $50?

Accepted Answer

The answer of As an incentive to get new customers,...

Question 20

One explanation put forth for the dearth of women CEO's in the high tech industry is
that there are a lack of mentoring opportunities for women. A recent survey of CEO's in
that industry found that 80% were men. Moreover, 75% had been mentored while only
15% were women and had been mentored.
A. Construct the contingency table.
b. Are gender and mentoring independent? Explain.

Accepted Answer

The answer of One explanation put forth for the dearth...

Quiz 5: Randomness and Probability

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability That a cell phone sold last month did not have either a camera or a music player is

As you enter the bank, you watch four persons in front of you all win $50. The local branch manager tells you how lucky you are to be throwing the ball while it is on a hot streak but the friend with you says that you're unlucky because the streak can't continue. Comment on their statements.

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. Which of the Following statements about cell phones sold last month is true?

Does it appear that the decision to purchase an extended warranty and type of electronics (big screen TV or laptop computer) purchased are independent? Explain.

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability That a cell phone sold last month had a camera or a music player is