Problem #1 (20 pts). (Make sure you show your work. Not just theanswers or the formulas without the computations, or you lose 20 pts.)Women make up 45 % of the science and engineering workforce. In arandom sample of twelve science and engineering employees, find thefollowing probabilities:a) Exactly six (6) are women.b) That fewer than three (3) are women.c) That at most six (6) are women.O

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Answered: Problem #1 (20 pts). (Make sure you…

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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Task 4: Answer the following: A teacher has been determined that ((A + 6) %) of students solved assignment 1 and ((A + 12) %) of students solved assignment 2. In addition, it has been observed that the two assignments are independent from one another. If the teacher selects twelve students at random: A=7 a. Calculate the probability that exactly eight of the students have solved any one of the two assignments. b. Calculate the probability that at least one of the students solved at least one of the two assignments.
. To save time Nivaldo's chemistry professor grades only 3 randomly chosen problems of a 12-problem assignment. Suppose that Nivaldo has 9 out of 12 problems correct on the assignment. a) Compute the probability that the 3 chosen problems are correct (Nivaldo scores 100%). b) Compute the probability that all 3 chosen problems are incorrect (Nivaldo scores 0%). c) Compute the expected value of the number of correct problems chosen by the professor.
A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
Suppose I flip a fair coin n = 20 times. A psychic tries to predict the outcome before each flip. Three researchers have different ideas about the psychic's ability. There is Sydney, the Skeptic (S), who thinks the psychic's success rate is between 49% and 51%. There is Morgan, the Mark, M, who thinks that the psychic's success rate is 80%. And there is Carter, the Cynic (C), who thinks the psychic's success rate is 10%. Specifically: S+ 0 ~ U(.49, .51) M + 0 = .80 C0 = .10 %3D In all cases, assume the number of successful predictions follows a binomial distribution with success rate 0. Usek for the number of successes and n for the number of trials. Given all that: Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Carter over Morgan. Call that Bayes factor Bc:M Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Morgan over Sydney. Call that Bayes factor BM:S Determine the formula for the Bayes factor (a.k.a., likelihood…
Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Grade 10 11 12 Award category Highest Honors 36 32 30 Academic Excellence 44 43 40 TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award. 3. Compare P(TEN|HH) and P(HH|TEN). Interpret what your answer means. 4. Are TEN and HH independent? Explain your reasoning and what your answer means.
Situation 2: I went to the grocery store and I noticed that there are five different kinds of brown sugar at different prices, each brand has different probabilities that they will be sold. What formula should I use if I want to determine how the prices vary from the average price of the product that would be sold to the customers repeatedly?

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