Can I get advice on the attached questions
1. Based on the information, please compute the following measures: (3) Are these two events mutually exclusive? Explain using probabilities. (2) What is the probability that among the next 9 applicants exactly 5 will be accepted? Daily Supply (y) Unit Price (x) Hint: Please see Chap004 - Slides 28 - 29 for definition of union of events, and see Please show the detail computation steps. Please don't just give an answer from 15 6 14 12 Slides 30 - 31 for definition of intersection of events. Please see Slides 32 - 33 for Excel functions or calculator functions. Otherwise, you will not get all the points.) 17 13 13 10 Addition Law. Please see Slides 34 - 35 for Mutually Exclusively events. Please also [Hint: Please see Chap005 - Slides 27 -39 for Binomial Probability Distribution. 16 9 see pages 193 - 196 in the textbook. Please see Slides 41 - 43 for Independent events. Please also see pages 237 - 245 in the textbook.] (1) Mean for variable y and for x 2) Standard deviation for variable y and for variable x. (Please show the detail Please also see pages 202 - 203 in the textbook.] computation steps. Please don't just give an answer from Excel functions or calculator functions. Otherwise, you will not get all the points.) 4. The following table shows the number of students in three different degree 6. The random variable x is the number of the number of calls received by a Hint: Please see Chap003A - Slides 35 - 38 for formula of standard deviation. Please programs and whether they are graduate or undergraduate students: switchboard. Suppose x follows a Poisson distribution and the average number of see page 124 - 125 in the textbook. } Undergraduate Graduate Total occurrences in 20 minutes is 4. Business 50 25 175 50 2. You are given the following information on Events A, B, C, and D. Engineering 100 250 (1) What is the probability that between 10:00 and 10:30 the switchboard will receive Arts & Sciences 100 75 175 exactly 5 calls? P(A) =0.43 P(A U D) =0.6 Total 40 200 1600 (2) What is the probability that between 10:00 and 10:30 the switchboard will receive P(B) =0.14 P(A | B) =0.2 P(D) =0.24 P(A n C) =0 .04 P(A n D) =0 .03 (1) What is the probability that a randomly selected student is business major? more than 2 calls but fewer than 6 calls? 2) Given that a selected student is a graduate, what percentage of the student is (Please show the detail computation steps. Please don't just give an answer from NOT in the Arts and Sciences major? Excel functions or calculator functions. Otherwise, you will not get all the points.) Please do the following: Compute P(C) (3) Given that a selected student is an undergraduate, what is the probability that [Hint: Please see Chap005 - Slides 40 -49 for Poisson Probability Distribution. Please also see pages 248 - 251 in the textbook.] b. Compute P(A n B). he or she is engineering major? C. Compute P(A | C). [Hint: Please see Chap004 - Slide 40 for Joint probability table. Please also see pages Extra Credit d Compute the probability of the complement of B. 199 - 200 in the textbook.] A recent survey of 10 MBA students showed that 7 students out of these 10 students having an average undergraduate grade point average (GPA) of 3.50 or higher. 3. As a company manager for Claustat Corporation there is a 0.40 probability that 5. Suppose the event of a student's application to a university being accepted follows Suppose that we randomly select 3 students from these 10 students. you will be promoted this year. There is a 0.7 probability that you will get a the binomial probability and the successful rate is 80%. Please finish the following a. What is the probability that exactly one student having an average promotion, a raise, or both. The probability of getting a promotion and a raise is 0.3. tasks? undergraduate GPA of 3.50 or higher? (1) If you get a promotion, what is the probability that you will also get a raise? b. What is the probability that exactly two students having an average 2) Are getting a raise and being promoted independent events? Explain using (1) Determine the expected number of acceptances for the next 7 applicants undergraduate GPA of 3.50 or higher? probabilities. and the standard deviation
