{1, 2, 3, 4, 5, 6} be the sample space for a certain experiment. Suppose theoutcomes 1, 2, 3, and 4 each have probability .2, and the outcomes 5 and 6 each haveprobability .1. Let A = {1,3, 5}, B = {5;6}, and C = {1,2,3, 6}. Find2. Let S =(a) P(AU B)(b) P(An(B°U C)(c) P(A|B).

Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Answered: {1, 2, 3, 4, 5, 6} be the sample space…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2.3 Let A and B be two events af the same sample space. If A and B are independent and P(A) = 0.5 and P(AN H) = 0.2, then: P(B)
If A,B are two independent event in a sample space, if P(A) = 0.7,P(B) =0.6. Find P(AU B) Select one: a. 0.42 b. 0.82 c. 0,88 d. 0.28
2. Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of 56 students were asked on which night of the week they did the most homework. The results were distributed as in the table below. Number of Students Sunday Monday Tuesday Wednesday Thursday Friday 11 5 8 10 7 10 Saturday 5 From the population of students, do the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week? What type of hypothesis test should you use? (You must justify your answer with a complete hypothesis test and an explanation, within context, using complete sentences.)
Q. 2 If A and B are two events associated with an experiment and P(A) = 0.3, P(AU B) = 0.5, and P(B) = p. Find the choice of p for which event A and B are mutually exclusive.
Dominique, Marco, Clarice, John, and Roberto work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that Dominique and Clarice attend the conference? (c) What is the probability that Marco attends the conference? (d) What is the probability that Roberto stays home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name. O A. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR, DD, MM, CC, JJ, RR O B. DM,DC DJ,DR,MC,MJ,MR,CJ,CR JR,MD.CD,JD,RD CM, JM,RM JC RC RJ OC. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR O D. DM, DC, DJ, DR (b) The probability that Dominique and Clarice attend the conference is (Round to one decimal place as needed ) (c) The…
Q1. The table below show the soft drinks preferences of people in three age groups.Cola Root beer Lemon-limeUnder 21years of age40 25 20Between 21and 4035 20 30Over 40 yearsof age20 30 35A) If one of the subjects is randomly selected, find the probability of selecting someone who areunder 21 years of age and drink Lemon-lime.B) If one of the subjects is randomly selected, find the probability that the person drinks rootbeer given that they are over 40.C) If one of the subjects is randomly selected, find the probability that the person drinks cola orover 40 years of age.
Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 123 people living in Gastown and finds that 24 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 19.51% (24/123) of Gastown residents are living below the poverty line. ? + B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/123. ? + C. If another random sample of 123 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…
Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 127 people living in Gastown and finds that 20 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 15.75% (20/127) of Gastown residents are living below the poverty line. ? B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 20/127. ? C. If another random sample of 127 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…

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{1, 2, 3, 4, 5, 6} be the sample space for a certain experiment. Suppose the outcomes 1, 2, 3, and 4 each have probability .2, and the outcomes 5 and 6 each have = {1,3, 5}, B = {5;6}, and C = {1,2,3,6}. Find (c) P(A|B). 2. Let S = probability .1. Let A (a) P(AU B) (b) P(AN (B°UC))