BUS 204 Week 4 Assignment

BUS 204 Week 4 Assignment  | MiraCosta College

1.In the MiraCosta example on conditional probability, what event is labeled E4?

A.Online

B.Oceanside

C.San Marcos

D.Hybrid

2.

A bicycle company makes two mountain bike models that each come in three colors. Use the following table, which shows the production volumes for one week, to answer parts a through d.

                Color    

Model   Blue       Brown   White   

RO-50

281         99           199        

HD-99

43           222         125        

a. Based on the relative frequency assessment method, what is the probability that a manufactured item is

brown?

P(brown)=

(Round to four decimal places as needed.)

b. What is the probability that the product manufactured is

an

RO-50?

P(RO-50)= 0.59750.5975

(Round to four decimal places as needed.)

c. What is the probability that a product manufactured is

an

RO-50

and

brown?

P(RO-50

and

brown)=

(Round to four decimal places as needed.)

d. Suppose a product was chosen at random. Consider the following events: the event that model

HD-99

was chosen and the event that a

blue

product was chosen. Are these two events mutually exclusive? Explain.

 

A.

The two events are mutually exclusive because the probability of the events occurring together is 0.

 

B.

The two events are mutually exclusive because the probability of the events occurring together is not 0.

 

C.

The two events are not mutually exclusive because the probability of the events occurring together is 0.

 

D.

The two events are not mutually exclusive because the probability of the events occurring together is not 0.

 

3.

A company makes high-quality windows for the residential home market. Recently, three marketing managers were asked to assess the probability that sales for next year will be more than 15% higher than in the current year. One manager stated that the probability of this happening was 0.40. The second manager assessed the probability to be 0.60, and the third manager stated the probability was 0.90.

a. What method of probability assessment is each of the three managers using?

b. Which manager is expressing the least uncertainty in the probability assessment?

c. Why is it that the three managers did not provide the same probability assessment?

a. The first manager is using

subjective probabilitysubjective probability

 

assessment, the second manager is using

subjective probabilitysubjective probability

 

assessment, and the third manager is using

subjective probabilitysubjective probability

 

assessment.

b. The manager who stated the probability

 

is expressing the least uncertainty.

c. Why are the probability assessments different?

 

A.

The managers have worked for different numbers of years, and so have observed different numbers of outcomes.

 

B.

The managers choose different values so one would be correct.

 

C.

The managers have different states of mind regarding the chances that the particular event will occur.

Your answer is correct.

 

D.

The managers have different levels of experience making probability assessments.

 

4.

 A business man owns an automobile dealership that sells new Brand

O,

Brand

W,

and Brand

X

automobiles. It also sells used cars (U) of a variety of brands that it gets as trade-ins on new car purchases. Supposing two cars are sold on

Saturday

by the dealership, what is the sample space for the type of cars that might be sold?

Define the sample space. Choose the correct answer below.

 

A.

{(O,O),  (O,W),  (O,X),    (O,U),

(W,O),  (W,W), (W,X),   (W,U),

(X,O),    (X,W),   (X,X),     (X,U),

(U,O),   (U,W),  (U,X),    (U,U)}

Your answer is correct.

 

B.

{(N,N),  (N,U),   (U,U)}  

 

C.

{(O,O),  (O,W),  (O,X),                   

(O,U),   (W,W), (W,X),                  

(W,U),  (X,X),     (X,U),    (U,U)}  

 

D.

{(O,O),  (O,W),  (O,X),

(W,O),  (W,W), (W,X),

(X,O),    (X,W),   (X,X)}

 

E.

{(N,N),  (N,U),

(U,N),   (U,U)}

 

F.

{(O,O),  (O,W),  (O,X),   

(W,W), (W,X),   (X,X)}   

 

5.

A successful barbeque chain sells its beef, pork, and chicken items to three kinds of customers: dine-in, delivery, and pickup. Last year's sales showed that

orders were dine-in (d),

were delivery orders (e), and

orders were pickup (p). Suppose an audit of last year's sales is being conducted. Complete parts a through c.

a. If a customer order is selected at random, what is the probability it will be a

dine-in

order?

b. What method of probability assessment is used to determine the probability in part a?

 

A.

Subjective probability assessment

 

B.

Relative frequency assessment

 

C.

Classical probability assessment

c. If two customer orders are selected at random, list the sample space indicating the type of order for both customers.

 

A.

(d, e), (d, p), (e, d), (e, p), (p, d), (p, e)

 

B.

(d, d), (e, e), (p, p)

 

C.

(d, d), (d, e), (d, p), (e, d), (e, e), (e, p), (p, d), (p, e), (p, p)

Your answer is correct.

 

D.

(d), (e), (p)

 

6.

A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is

0.85.

The probability that a customer will order a hamburger is

0.58.

The probability that a customer will order french fries is

0.51.

Complete parts a and b below.

a. If a customer places an order, what is the probability that the order will include a soft drink and no fries if these two events are independent?

The probability is

b. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will order fries is

Determine the probability that the order will include a hamburger and fries.

The probability is

 

7.

Vegetables from the summer harvest are currently being processed at a food store. The manager has found a case of cans that have not been properly sealed. There are three lines that processed cans of this type, and the manager wants to know which line is most likely to be responsible for this mistake. Provide the manager with this information, using the table to the right.        Line        Contribution to Total      Proportion Defective    

1              0.44        0.04       

2              0.24        0.07       

3              0.32        0.09       

 

Choose the correct answer below.

 

A.The unsealed cans probably came from Line

3.Your answer is correct.

 

B.The unsealed cans probably came from Line

1.C.The unsealed cans probably came from Line

2.D.

It is not possible to determine which line would be most probable given a defective can.

 

8.

A box of

50

remote control devices contains

5

that have a defective power button. If devices are randomly sampled from the box and inspected one at a time, determine the following probabilities.

a. The probability that the first control device is defective.

b. The probability that the first control device is good and the second control device is defective.

c. The probability that the first three sampled devices are all good.

a. The probability that the first control device is defective is

b. The probability that the first control device is good and the second is defective is

c. The probability that the first three sampled devices are all good is