1. The mathematics test results of 40 learners were examined and the results were recorded in thefollowing two-way table:ClassPassedFailedTotalA11617B1523Total261440If a learner is chosen at random from the group, determine the following:a. P (the learner passed).b. P (learner is from class B and passed)C. P (learner is from class A and failed)

Answered: Image /qna-images/answer/0688d9f5-ca5a-4867-89cb-f1089cce06f0.jpg

Answered: 1. The mathematics test results of 40…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below
Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level—high, mid, or low—and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the paper “Readability Levels of Magazine Ads” (Journal of Advertising Research, Vol. 21, No. 5, pp. 45–51). The number of words of three syllables or more in each ad are provided on the WeissStats site. a. Obtain individual normal probability plots and the standard deviations of the samples. b. Perform a residual analysis. c. Use your results from parts (a) and (b) to decide whether conducting a…
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. | a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain.…
"Bluth's Original Frozen Banana Stand" is a frozen banana stand founded in 1953 by George Bluth. They offer multiple types of chocolate that you can have your frozen banana dipped in, and they also offer multiple different toppings for your frozen banana. One day when stand employee Michael was working, he wondered whether or not there was a relationship between what customers had their bananas dipped in (milk chocolate, white chocolate, or dark chocolate) and their choice of topping (plain, walnuts, or sprinkles). He recorded the choices of each for 90 different customers, and the resulting data can be seen in the table below. Which cell has the highest Chi Square contribution? Chocolate milk milk milk white white white dark dark dark walnuts, milk Osprinkles, white walnuts, dark O plain, dark Topping plain walnuts sprinkles plain walnuts sprinkles plain walnuts sprinkles Freq. 15 4 11 7 13 10 14 10
A J.D. Power and Associates vehicle quality survey asked new owners a variety of questions about their recently purchased automobile. One question asked for the owner's rating of the vehicle using categorical responses of average, outstanding, and exceptional. Another question asked for the owner's education level with the categorical responses some high school, high school graduate, some college, and college graduate. Assume the sample data below are for 500 owners who had recently purchased an automobile. Education Quality Rating Some HS HS Grad Some College College Grad Average 30 30 20 60 Outstanding 50 50 50 90 Exceptional 20 20 30 50 a. Use a 0.05 level of significance and a test of independence to determine if a new owner's vehicle quality rating is independent of the owner's education. Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? - Select your answer - v…
23. Education Level and Smoking At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table. Educational level Not high High school College graduate school Smoking habit graduate graduate 19 25 Smoke 6. 14 Do not smoke 18 7. If an employee is selected at random, find these prob- abilities. a. The employee smokes, given that he or she gradu- ated from college. b. Given that the employee did not graduate from high school, he or she is a smoker.
. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?
A survey of freshmen revealed the following information: •24 signed up for a math class. • 28 signed up for a biology class. •20 signed up for both biology and math. •2 signed up for neither biology nor math. How many freshmen in total were surveyed? 0 34 O Not enough information were given. O 54 O 74
People at a gym were surveyed to determine if they liked to ski or swim. The table below represents the data that was collected. Number of people Sports Ski only Swim only Ski & Swim Neither sport 38 17 21 15 The number of people in the universal set is The number of people who like to ski or swim is
To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow: Twin Pair 1 2 3 4 5 6 School A 80 145 118 90 112 118 School B 83 135 115 105 105 113 Twin Pair 7 8 9 10 11 12 School A 98 112 115 144 124 96 School B 93 87 98 132 135 105 Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A.…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS