What is the probability that the given marble is green

Assignment Help Basic Statistics
Reference no: EM131578255

Assignment

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)?

Reference no: EM131578255

Questions Cloud

Element in a non-negative integer array : Write a Java program to find the second Largest element in a non-negative integer array.
Describe some of the issues that you found interesting : Discuss how you learned to deal with these issues in your labs, and how you can find answers to problems about which you have not yet learned.
Write the definition of all quantifiers are explicit : The definition of a prime number is that it is an integer greater than 1 whose only positive integer factors are itself and 1.
Discuss common practice across the united states : idea piloted in California work and become a common practice across the United States
What is the probability that the given marble is green : What is the probability that this marble is green? If one adult is selected at random from these 2000 adults, find the probability that this adult is a male.
What is the equivalent annual worth of savings : A construction firm can achieve a $15000 cost savings in Year 1. what is the equivalent annual worth of the savings?
Understand what drives database design : To understand what drives database design, you must understand the difference between data and information. After going through the required readings
Prepare the necessary correcting entries : Prepare the necessary correcting entries, assuming that Kingbird uses a calendar-year basis. The books for the current year have not been closed
Exponent in the cost-capacity equation : How much would a 61 bpd plant cost when the index value is 494 provided the exponent in the cost-capacity equation is 0.5?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd