Practice set 2 | Mathematics homework help

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

 

 

                      

 

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

Practice Set 2

 

Practice Set 2

 

 

1. List the simple events for each of the following statistical experiments in a sample space.

a)     One roll of a die.

Note: Separate your response with a comma (,). For example 22, 23, 24

b)    Three tosses of a coin.

Note: Use this notation for your answer. heads = H. tails = T. For example HT, TH

c)     One toss of a coin and one roll of a die.

Note: Use this notation. Heads = H or numbers 1, 2, 3, 4, 5, 6 for the dice. For example 

            H1 indicates heads and dice roll equal to 1.

 

2. Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. Indicate which are simple and which are compound events.

a)     Both students suffer from math anxiety.

b)    Exactly one student suffers from math anxiety.

c)     The first student does not suffer and the second suffers from math anxiety.

d)    None of the students suffers from math anxiety.

 

3. A hat contains 40 marbles. Of them, 18 are red and 22 are green. If one marble is randomly selected out of this hat.

a)     What is the probability that this marble is red (round to two decimal places)?

b)    What is the probability that this marble is green (round to two decimal places?

 

4. Two thousand randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses.

 

 

Have Shopped

Have Never Shopped

Male

500

700

Female

300

500

 

a)     If one adult is selected at random from these 2000 adults, find the probability that this adult has never shopped on the Internet.

b)    If one adult is selected at random from these 2000 adults, find the probability that this adult is a male.

c)     If one adult is selected at random from these 2000 adults, find the probability that this adult has shopped on the Internet given that this adult is a female.

d)    If one adult is selected at random from these 2000 adults, find the probability that this adult is a male given that this adult has never shopped on the Internet.

 

5. Find the joint probability of AA and BB for the following.

a)     P(A)=.36 and P(B|A)=.87

b)    P(B)=.53 and P(A|B)=.22

 

6. Classify each of the following random variables as discrete or continuous.

a)     The time left on a parking meter

b)    The number of bats broken by a major league baseball team in a season

c)     The number of cars in a parking lot at a given time

d)    The price of a car

e)     The number of cars crossing a bridge on a given day

f)     The time spent by a physician examining a patient

g)    The number of books in a student’s bag

 

7. The following table gives the probability distribution of a discrete random variable x.

 

x

0

1

2

3

4

5

6

P(x)

.11

.19

.28

.15

.12

.09

.06

 

Find the following probabilities.

a)     P(1≤x≤4)

b)    Probability that x assumes a value less than 4.

c)     Probability that x assumes a value greater than 2.

 

8. A limousine has eight tires on it. A fleet of such limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the probability distribution of the number of defective tires on this fleet of limos where xx represents the number of defective tires on a limo and P(x) is the corresponding probability.

 

 

 

x

0

1

2

3

4

5

6

7

8

P(x)

.0454

.1723

.2838

.2669

.1569

.0585

.0139

.0015

.0008

 

Calculate the mean and standard deviation of this probability distribution. Give a brief interpretation of the values of the mean and standard deviation.

 

9. Let xx be a discrete random variable that possesses a binomial distribution. Using the binomial formula, find the following probabilities.

a)     p(5) for n=8 and p=.70

b)    p(3) for n=4 and p=.40

Verify your answers by using Table I of Appendix B.

 

10. Let x be a discrete random variable that possesses a binomial distribution. If n = 5 and p = 0.8, then…

a)     What is the mean (round to three decimal places)

 

b)    What is the standard deviation of the probability distribution (round to three decimal places)?

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Homework Writing Services
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Construction Management
Thankyou
Customer 462679, March 14th, 2022
Healthcare & Medical
Good work!
Customer 452441, August 6th, 2022
Ethics
Writer did do a good job in answering my question and assignment!
Customer 454777, July 8th, 2020
Health Care
Thank you very much!
Customer 454001, February 8th, 2020
Education
Good work.
Customer 462281, April 14th, 2022
SEO
A job well done
Customer 463679, May 9th, 2023
Business
Good job
Customer 463245, February 6th, 2023
Business and administrative studies
Good work.
Customer 463053, June 20th, 2022
Education
Good work. Thank you for following the instructions and the corrections, and making the necessary changes.
Customer 463679, March 3rd, 2023
Business and administrative studies
Good work.
Customer 458115, May 24th, 2022
Other
Excellent work.
Customer 453187, July 5th, 2022
Law
good job
Customer 452741, March 27th, 2020
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat