Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 1P
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Wr1te the symbols for the probabilities of the events for parts a through J. (Note that you cannot find numerical answers here. You were not given enough information to find any
• Let F be the
• Let M be the event that a student is male.
• Let S be the event that a student has short hair.
• Let L be the event that a student has long hair.
a. The probability that a student does not have long hair.
b. The probability that a student is male or has short hair.
c. The probability that a student is a female and has long hair.
d. The probability that a student is male, given that the student has long hair.
e. The probability that a student has long hair, given that the student is male.
f. Of all the female students, the probability that a student has short hair.
g. Of all students with long hair, the probability that a student is female.
h. The probability that a student is female or has long hair.
1. The probability that a randomly selected student Is a male student with short hair.
J. The probability that a student is female.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling
legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% of the true proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 65% of the respondents said they support
labeling legislation for GMOs.
(c) Compare the results from parts (a) and (b).
...
(a) What is the minimum sample size needed assuming that no prior information is available?
n =
(Round up to the nearest whole number as needed.)
The table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.05, can you conclude that at least one mean
cost per mile is different from the others?
Click on the icon to view the data table.
Let Hss, HMS, HLS, Hsuv and Hмy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans
respectively. What are the hypotheses for this test?
OA. Ho: Not all the means are equal.
Ha Hss HMS HLS HSUV HMV
B. Ho Hss HMS HLS HSUV = μMV
Ha: Hss *HMS *HLS*HSUV * HMV
C. Ho Hss HMS HLS HSUV =μMV
= =
H: Not all the means are equal.
D. Ho Hss HMS
HLS HSUV HMV
Ha Hss HMS
HLS =HSUV = HMV
Question: A company launches two different marketing campaigns to promote the same product in two different regions. After one month, the company collects the sales data (in units sold) from both regions to compare the effectiveness of the campaigns.
The company wants to determine whether there is a significant difference in the mean sales between the two regions. Perform a two sample T-test
You can provide your answer by inserting a text box and the answer must include:
Null hypothesis,
Alternative hypothesis,
Show answer (output table/summary table), and
Conclusion based on the P value.
(2 points = 0.5 x 4 Answers)
Each of these is worth 0.5 points. However, showing the calculation is must. If calculation is missing, the whole answer won't get any credit.
Chapter 3 Solutions
Introductory Statistics
Ch. 3 - The sample space S Is all the ordered pairs of two...Ch. 3 - You have a fair. well-shuffled deck of 52 cards....Ch. 3 - You have a fair, well-shuffled deck of 52 cards....Ch. 3 - Draw two cards from a standard 52-card deck with...Ch. 3 - A box has two balls, one white and one red. We...Ch. 3 - Let event A = learning Spanish. Let event B =...Ch. 3 - In a bag, there are six red marbles and four green...Ch. 3 - A student goes to the library. Let events B = the...Ch. 3 - In a basketball arena, • 70% of the fans are...Ch. 3 - Mark Is deciding which route to take to work. His...
Ch. 3 - A box has two balls, one white and one red. We...Ch. 3 - Helen plays basketball. For free throws she makes...Ch. 3 - A school has 200 seniors of whom 140 will be going...Ch. 3 - A student goes to the library. Let events B = the...Ch. 3 - A school has 200 seniors of whom 140 will be going...Ch. 3 - A student goes to the library Let events B = the...Ch. 3 - Table 3.3 shows the number of athletes who stretch...Ch. 3 - Table 3.6 shows a random sample of 200 cyclists...Ch. 3 - Table 3.10 relates the weights and heights of a...Ch. 3 - In a standard deck. there are 52 cards. 12 cards...Ch. 3 - In a standard deck, there are 52 cards. Twelve...Ch. 3 - Suppose there are four red balls and three yellow...Ch. 3 - Suppose an experiment has outcomes black, white,...Ch. 3 - Roll a fair, six-sided die. Let A = a prime number...Ch. 3 - Fifty percent of the workers at a factory work a...Ch. 3 - In a bookstore, the probability that the customer...Ch. 3 - In a particular college class, there are male and...Ch. 3 - Use (he following information to answer the next...Ch. 3 - Use (he following information to answer the next...Ch. 3 - Use (he following information to answer the next...Ch. 3 - Use (he following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following in formation to answer the next...Ch. 3 - Use the following in formation to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - What is the probability of drawing a red card in a...Ch. 3 - What is the probability of drawing a club in a...Ch. 3 - What is the probability of rolling an even number...Ch. 3 - What is the probability of rolling a prime number...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use (he following information to answer the next...Ch. 3 - A shelf holds 12 books. Eight are fiction and the...Ch. 3 - What is the sum of the probabilities of an event...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - E and F are mutually exclusive events. P(E) = 0.4;...Ch. 3 - J and K are independent events. P(J/ K) = 0.3....Ch. 3 - U and V are mutua11y exclusive events. P( U) =...Ch. 3 - Q and R are independent events. P(Q) = 0.4 and P(Q...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Complete the table using the data provided....Ch. 3 - Suppose that one person from the study Is randomly...Ch. 3 - Find the probability that the person was Latino.Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - Prove that smoking level day and ethnicity are...Ch. 3 - Figure 3.11 The graph in Figure 3.11 displays the...Ch. 3 - Explain what is wrong with the following...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - On February 28, 2013, a Field Poll Survey reported...Ch. 3 - After Rob Ford, the mayor of Toronto, announced...Ch. 3 - Use the following information o answer the next...Ch. 3 - Use the following information o answer the next...Ch. 3 - Use the following information o answer the next...Ch. 3 - Suppose that you have eight cards. Five are green...Ch. 3 - Roll two fair dice separately. Each die has six...Ch. 3 - A special deck of cards has ten cards. Four are...Ch. 3 - An experiment consists of first rolling a die and...Ch. 3 - An experiment consists of tossing a nickel, a...Ch. 3 - Consider the following scenario: Let P(C) = 0.4....Ch. 3 - Y and Z are independent events. a. Rewrite the...Ch. 3 - G and H are mutually exclusive events. P(G) = 0.5...Ch. 3 - Approximately 281,000,000 people over age five...Ch. 3 - , the U.S. government held a lottery to issue...Ch. 3 - Three professors at George Washington University...Ch. 3 - The following table of data obtained from...Ch. 3 - United Blood Services Is a blood bank that serves...Ch. 3 - At a college. 72°o of courses have final exams and...Ch. 3 - In a box of assorted cookies, 36% contain...Ch. 3 - A college finds that 10% of students have taken a...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Table 3.20 gives the number of suicides estimated...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Table 3.22 identifies a group of children by one...Ch. 3 - In a previous year, the weights of the members of...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - A box of cookies contains three chocolate and...Ch. 3 - A previous year, the weights of the members of the...Ch. 3 - The probability that a male develops some form of...Ch. 3 - Given events G and H: P(G) = 0.43; P(H) = 0.26;...Ch. 3 - Given events land K: P(J = 0.18; P(K = 0.37: P(J...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Approximately 86.5% of Americans commute to work...Ch. 3 - When the Euro coin was introduced in 2002, two...Ch. 3 - Use the following information o answer the next...Ch. 3 - Answer these questions using probability rules. Do...
Additional Math Textbook Solutions
Find more solutions based on key concepts
CHECK POINT 1 Find a counterexample to show that the statement The product of two two-digit numbers is a three-...
Thinking Mathematically (6th Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
Women’s Heights Suppose college women’s heights are approximately Normally distributed with a mean of 65 inches...
Introductory Statistics
The following set of data is from sample of n=5: a. Compute the mean, median, and mode. b. Compute the range, v...
Basic Business Statistics, Student Value Edition
A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts the blocks...
A First Course in Probability (10th Edition)
Derivative Calculations
In Exercises 1–8, given y = f(u) and u = g(x), find dy/dx = dy/dx = f′(g(x))g′(x).
1. y...
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Binomial Prob. Question: A new teaching method claims to improve student engagement. A survey reveals that 60% of students find this method engaging. If 15 students are randomly selected, what is the probability that: a) Exactly 9 students find the method engaging?b) At least 7 students find the method engaging? (2 points = 1 x 2 answers) Provide answers in the yellow cellsarrow_forwardIn a survey of 2273 adults, 739 say they believe in UFOS. Construct a 95% confidence interval for the population proportion of adults who believe in UFOs. A 95% confidence interval for the population proportion is ( ☐, ☐ ). (Round to three decimal places as needed.)arrow_forwardFind the minimum sample size n needed to estimate μ for the given values of c, σ, and E. C=0.98, σ 6.7, and E = 2 Assume that a preliminary sample has at least 30 members. n = (Round up to the nearest whole number.)arrow_forward
- In a survey of 2193 adults in a recent year, 1233 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is (Round to three decimal places as needed.) J.D) .arrow_forwardLet p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1143 adults from country A, 317 said that they were not confident that the food they eat in country A is safe. The point estimate for p, p, is (Round to three decimal places as needed.) ...arrow_forward(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent. A. false: all observations must be independent B. true C. false: only observations with the same outcome need to be independent I ANSWERED: A. false: all observations must be independent. (This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)arrow_forward
- Business discussarrow_forwardSpam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output: Estimate SE Z Pr(>|Z|) (Intercept) -0.8161 0.086 -9.4895 0 to_multiple -2.5651 0.3052 -8.4047 0 winner 1.5801 0.3156 5.0067 0 format -0.1528 0.1136 -1.3451 0.1786 re_subj -2.8401 0.363 -7.824 0 (a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…arrow_forwardConsider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18. Compute the probability of the complement of the event. Question content area bottom Part 1 A.1/2 B.2/18 C.16/18 D.16/3arrow_forward
- John and Mike were offered mints. What is the probability that at least John or Mike would respond favorably? (Hint: Use the classical definition.) Question content area bottom Part 1 A.1/2 B.3/4 C.1/8 D.3/8arrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. What is the simple moving average root mean square error? Round to two decimal places. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 207.13 B. 20.12 C. 14.39 D. 0.21arrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. If the smoothing constant is assumed to be 0.7, and setting F1 and F2=A1, what is the exponential smoothing sales forecast for week 7? Round to the nearest whole number. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 80 clocks B. 60 clocks C. 70 clocks D. 50 clocksarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License