The result of tossing a coin once will be either head or tail. let a

Question 1 of 20

1.0 Points

The result of tossing a coin once will be either head or tail. Let A and B be the events of observing head and tail, respectively. The events A and B are:

 

  A.mutually exclusive

 

  B.independent

 

  C.conditional

 

  D.unilateral

 

 

Question 2 of 20

1.0 Points

The formal way to revise probabilities based on new information is to use:

 

  A.unilateral probabilities

 

  B.common sense probabilities

 

  C.conditional probabilities

 

  D.complementary probabilities

 

 

Question 3 of 20

1.0 Points

If 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

 

  A.1/300

 

  B.1/700

 

  C.1/600

 

  D.1/2300

 

 

Question 4 of 20

1.0 Points

If a die is rolled one time, find the probability of getting a number greater than 2.

 

  A.2

 

  B.-1

 

  C.5/6

 

  D.4/6

 

 

Question 5 of 20

1.0 Points

If two events are mutually exclusive, what is the probability that both occur at the same time?

 

  A.0.00

 

  B.1.00

 

  C.0.50

 

  D.Cannot be determined from the information given.

 

 

 

Question 6 of 20

1.0 Points

We assume that the outcomes of successive trials in a binomial experiment are:

 

  A.identical from trial to trial

 

  B.random numbers between 0 and 1

 

  C.probabilistically independent

 

  D.probabilistically dependent

 

 

Question 7 of 20

1.0 Points

Find the variance of the following probability distribution. 

X

P(X)

1

0.10

2

0.20

3

0.35

4

0.30

5

0.05

 

 

  A.1.1

 

  B.1.21

 

  C.1.05

 

  D.1.02

 

 

Question 8 of 20

1.0 Points

A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

 

  A.60

 

  B.50

 

  C.7.1

 

  D.5.9

 

 

Question 9 of 20

1.0 Points

Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. 

What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours?

 

  A.0.0839

 

  B.0.7792

 

  C.0.1186

 

  D.0.9169

 

 

Question 10 of 20

1.0 Points

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game?

 

  A.$3.06

 

  B.-$2.78

 

  C.-$3.06

 

  D.$2.78

 

 

 

Question 11 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

The annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below.

 

Economy State

Probability

StockA

StockB

Good

0.5

40

20

Average

0.3

20

40

Bad

0.2

10

8

If one invested in StockA, what would be the expected annual percentage return? Place your answer, in percent, in the blank. For example, an expected 10 percent return would be recorded as 10. Do not use a percent sign.    

Question 12 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

Find the mean of the probability distribution:

X

0

1

2

3

4

P(X)

0.12

0.16

0.24

0.30

0.18

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.

Mean =      

Question 13 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. 

x

0

1

2

3

4

5

6

P (X=x)

0.55

0.15

0.10

0.10

0.04

0.03

0.03

What is the variance of X?  Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry.

Question 14 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

Find the expected value of the following probability distribution.

X

1

2

3

4

5

P(X)

0.05

0.20

0.35

0.25

0.15

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry. 

Expected value =       

 

Question 15 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:

                                                        Number of Vehicles Involved

Did alcohol play a role?

1

2

3

 

Yes

60

110

30

200

No

40

215

45

300

 

100

325

75

 

 

What proportion of accidents involved alcohol and a single vehicle?

Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.  

Question 16 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

The president of a bank is attempting to arrange a meeting with the three vice presidents for a Friday weekly meeting. He believes that each of these three busy individuals, independently of the others, has about 40% chance of being able to attend the meeting. What is the probability that at least two of the three vice presidents can attend the meeting? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry.  

Question 17 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

In Major League Baseball there are five teams in the Western Division of the National League: Arizona, Los Angeles, San Francisco, San Diego, and Colorado. How many different orders of finish are there for these five teams? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry.  

Question 18 of 20

1.0 Points

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:

                                                         Number of Vehicles Involved

Did alcohol play a role?

1

2

3

 

Yes

60

110

30

200

No

40

215

45

300

 

100

325

75

 

 

Given that multiple vehicles were involved, what proportion of accidents involved alcohol?

 

Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.  

 

Question 19 of 20

1.0 Points

If A and B are two independent events with P(A) = 0.20 and P(B) = 0.60, then P(A and B) = 0.80

 

 

 

Question 20 of 20

1.0 Points

The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0.

 

 

Calculate your paper price
Pages (550 words)
Approximate price: -

Why Choose Us

Quality Papers

We value our clients. For this reason, we ensure that each paper is written carefully as per the instructions provided by the client. Our editing team also checks all the papers to ensure that they have been completed as per the expectations.

Professional Academic Writers

Over the years, our Acme Homework has managed to secure the most qualified, reliable and experienced team of writers. The company has also ensured continued training and development of the team members to ensure that it keep up with the rising Academic Trends.

Affordable Prices

Our prices are fairly priced in such a way that ensures affordability. Additionally, you can get a free price quotation by clicking on the "Place Order" button.

On-Time delivery

We pay strict attention on deadlines. For this reason, we ensure that all papers are submitted earlier, even before the deadline indicated by the customer. For this reason, the client can go through the work and review everything.

100% Originality

At Essay USA, all papers are plagiarism-free as they are written from scratch. We have taken strict measures to ensure that there is no similarity on all papers and that citations are included as per the standards set.

Customer Support 24/7

Our support team is readily available to provide any guidance/help on our platform at any time of the day/night. Feel free to contact us via the Chat window or support email: support@acmehomework.com.

Try it now!

Calculate the price of your order

We'll send you the first draft for approval by at
Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Essay USA has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.

Essays

Essay Writing Services

At Essay USA, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zero-plagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.

Admissions

Admission and Business Papers

Be assured that you’ll definitely get accepted to the Master’s level program at any university once you enter all the details in the order form. We won’t leave you here; we will also help you secure a good position in your aspired workplace by creating an outstanding resume or portfolio once you place an order.

Editing

Editing and Proofreading

Our skilled editing and writing team will help you restructure you paper, paraphrase, correct grammar and replace plagiarized sections on your paper just on time. The service is geared toward eliminating any mistakes and rather enhancing better quality.

Coursework

Technical papers

We have writers in almost all fields including the most technical fields. You don’t have to worry about the complexity of your paper. Simply enter as much details as possible in the place order section.