# Practice set 2 | Mathematics homework help

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) 0.11 0.19 0.28 0.15 0.12 0.09 0.06

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) 0.0454 0.1723 0.2838 0.2669 0.1569 0.0585 0.0139 0.0015 0.0008

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

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)?

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

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

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.