7. Parking tickets At a local high school, 95 students have permission to park on campus. Each month, the student council holds a "golden ticket parking lottery." The three lucky winners are given reserved parking spots next to the main entrance. Last month, the winning tickets were drawn by a student council member who is in Mr. Wilder's statistics class. When all three golden tickets went to members of that class, some people thought the lottery had been rigged. There are 28 students in the statistics class, all of whom are eligible to park on campus. (a) Use combinations to find the probability that a fair lottery would result in all three golden tickets going to members of Mr. Wilder's statistics class. (b) Based on your answer to part (a), do you think the lottery was carried out fairly? Explain.

7. Parking tickets At a local high school, 95 students have permission to park on campus. Each month, the student council holds a "golden ticket parking lottery." The three lucky winners are given reserved parking spots next to the main entrance. Last month, the winning tickets were drawn by a student council member who is in Mr. Wilder's statistics class. When all three golden tickets went to members of that class, some people thought the lottery had been rigged. There are 28 students in the statistics class, all of whom are eligible to park on campus. (a) Use combinations to find the probability that a fair lottery would result in all three golden tickets going to members of Mr. Wilder's statistics class. (b) Based on your answer to part (a), do you think the lottery was carried out fairly? Explain.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

4. The English teacher at your school wants to randomly select students to present a scene from a Shakespeare play in class. There are four roles to fill, two for males and two for females. Describe a process that would use random numbers to select the people to contact. There are 9 males and 11 girls in this class.
A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a) List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b) Calculate P(not A)(c) Calculate P(B and D)(d) Calculate P(B or C) (maria,susan and holly are female/women and john and will are male)
5. Mohammad Abdullah is a student taking a statistics course. Unfortunately, he is not a good student. He does not read the textbooks, does not do homework, and regularly misses class. He intends to rely on luck to pass the next quiz in an online multiple choice exam. The quiz consists of 10 multiple-choice questions, each question is for 1 mark. Each question has five possible answers, only one of which is correct. Mohammad Abdullah plans to guess the answer to each question. (a) What is the probability that he gets no answers correct? (b) What is the probability that he gets two answers correct? (c) What is the probability that he gets at most three answers correct? (d) A mark is considered a failure if it is less than 50% (5 out of 10). Find the probability that Mohammad Abdullah fails the quiz.
g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all…
A national park is famous for its beautiful desert landscape and its many natural rock formations. The following table is based on information gathered by a park ranger of all rock formations of at least 3 feet. The height of the rock formation is rounded to the nearest foot. Height of rock formation, feet 3–9 10–29 30–49 50–74 75 and higher Number of rock formations in park 118 99 36 39 17 For a rock formation chosen at random from this park, use the preceding information to estimate the probability that the height of the rock formation is as follows. (Round your answers to two decimal places.) (A) 75 feet or taller?
If there are 11 people in the first sample and 10 people in the second sample, the degrees of freedom for the first sample is type your answer... and type your answer... for the second sample.
2 dimes and one six-sided die numbered from 1-6 are tossed. Generate a list of the possible outcomes by making a tree diagram. Determine the values of the possible outcomes and the sample space
A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random?
Answer.
62% of all the town’s residents own a dog and 57% own a cat. Of the dog owners 48% also own a cat. If a town is chosen at random find A. P(own a dog)B. P(own a cat)C. P(own a cat and dog)D. P(own a dog given own a cat)
Kamila wrote each day of the week on a piece of paper and placed them in a hat. She was hoping Pedro would pick out Friday. He tried three times and got Monday, Saturday, and Thursday. What is the sample space for Kamila’s chance experiment?