Suppose that 65% of students at a certain university are studying Commerce (C), that 38% of the students are in first year (F), and that 15% of students are in first year and are studying Commerce. Which of the following probability tables correctly summarises this information? Select one: O a. C C' F 0.15 0.23 0.38 F 0.50 0.12 0.62 0.65 0.35 O b. C C' F 0.15 0.23 0.62 F 0.50 0.12 0.38 0.65 0.35 1 C. C C F 0.15 0.23 0.38 F 0.20 0.42 0.62 0.35 0.65 1 O d. C F 0.15 0.23 0.38 F 0.50 0.15 0.65 0.65 0.38 1If for two events A and B, Pr(A) = = , and Pr(B) = , and Pr(A U B) = 10 ' then Pr(A n B) is equal to: Select one: O a. 1/10 O b. 4/5 O c. 8/25 O d. 3/25 What is the Variance of the following discrete probability distribution? Give your answer correct to 2 decimal places. X 2 4 10 Pr(X=x) 0.4 0.25 0.35 Answer:If for two events A and B, Pr(A) = 2 , Pr(B) = - , and Pr(An B) = 10, then Pr(A|B) is equal to Select one: O a. Ob. 1 10 O C. 3 O d. 10 What is the standard deviation of the following discrete probability distribution? Give your answer correct to 2 decimal places. X 2 7 8 Pr(X=X) 0.4 0.25 0.35 Answer:Suppose there are two jars. jar A and jar B. Jar A contains 3 white and 7 black jelly beans. Jay B contains 6 white and 2 black jelly beans. Suppose that Meaghan selects a jar at random, and then a jelly bean at random from the jar. The probability that Meaghan chooses a white jelly bean is Select one: x a. % b. 4% \"c. 110 '\\ d. 3; Each day a random sample of 219 CDs is selected from a production process and inspected. If on average 8 out of every hundred CBS is faulty, then what is the standard deviation of the number of faulty CDs. Give your answer to two decimal places. What is the value of p in the following discrete probability distribution? x 'I 5 10 Pr(X=x) 0.04 0.03 p A group of 25 students are trying out for the track-and-field team. Of these, 15 are track athletes and 10 are field athletes. What is the probability that if a team of 10 is chosen at random it will have the equal numbers of track and field athletes? Select one: a 15C5.10C5 25cm - l b. E C 25C5 25cm d 25C15-25C10 25C25 ' e. 1 A group of 25 students are trying out for the track-and-field team. Of these, 15 are track athletes and 10 are field athletes. What is the probability that if a team of 10 is chosen at random it will have the equal numbers of track and field athletes? Select one: a 1505.10C5 25010 - 1 b. E c chs 25cm d 25C15.25 C10 25c:25 1 e. 25cm There are 12 girls and 8 boys in a class. In how many ways could a committee of two girls and two boys be chosen? Select one: .. b. 20C4 C. \"Cg X8 CZ d. 2! x 2I " e. E Four letter 'words' are to be made by arranging the letters of the word SANDWICH. What is the probability that the word begins with a consonant? Select one: a. % ' b. g " c. g e. % What is the Expectation in the following discrete probability distribution. Give your answer correct to 2 decimal places. x 2 6 9 Pr(X=x) 0.2 0.15 0.65 In how many ways can seven friends be seated in a row at the theatre? Select one: " a. 7 -- 7! b. T5! 7! 7! E .. e. 7C1 The probability of a person who has not been vaccinated against a disease falling ill is 0.33. The probability of falling ill is 0.03 if vaccinated. A company has 20 employees, none of whom have been vaccinated. How many illnesses could the company expect to save if they paid for their employees to be vaccinated? Select one: " a. 0.6 ' b. 6 c. 6.6 HA and B are independent events such that Pr(A) = 0.3 and Pr(B) = 0.4, then Pr(A u B) is equal to Select one: a. 0.12 ' b. 0.92 c. 0.58 d. 0.7 What is the Expectation in the following discrete probability distribution. Give your answer correct to 2 decimal places. x 1 6 9 Pr(X=x) 0.4 0.25 0.35 A fair die is thrown 38 times. What is the expected number of times that a three is rolled