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- Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blue, and 5 white balls. If we let X and Y denote, respectively, the number of red and white balls chosen. Solve for P(X=2).A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Determine fxy(X=3,Y=4).The scenario relates to a waiting line at the Dipping star at Six Flags. For the purposes of the next two questions, assume that the Wicked Twister, which was permanently closed in September 2021, has since relocated and re-opened at a different venue in California. Suppose that a waiting line at the Dipping Star at Six Flags follows M/M/1 queue, with unlimited arrivals, and FIFO. Assume that on a busy holiday, visitors to the Dipping Star purchase tickets in person every five minutes on average. Also, assume that the employees at the ticket counters on average serve fifteen customers every hour. What is the expected average time a customer waits in line before it is their turn to purchase tickets? a. 2 minutes b. 3.3 minutes c. 8 minutes d. 16 minutes e. 26.6 minutes On average, how many customers are waiting in line? a. 1.5 b. 1.9 c. 3.2 d. 4.1 e. 3.25 students
- 6. i reposted it again because i wanted this in detailed not in online calculator, thanksFind the solution of the following Homogeneous Linear DE of Higher Order.Suppose each of 1000 players face a challenge in which a Bernoulli trial is repeated until the first success, that each attempt is independent of the others, and the chance of success on each attempt is p = 1/1000To the nearest whole number, how many of the 1000 players will achieve the first success within 1000 attempts, on average? THE ANSWER IS NOT 1, 500 OR 1000In 3b where did you get the yp=(a + bx) from
- (!) In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade of A. In the afternoon section, 6 of the 9 women and 9 of the 14 men receive A. Verify that, in each section, a higher proportion of women than of men receive A, but that, in the combined course, a lower proportion of women than of men receive A. Explain!A manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Determine the following. 1) fxy(x,y) 2) fx (x)3) fY|2 4) E(x)Show all workA manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Determine the following. 1) fxy(x,y) 2) fx (x)3) E(x)4) E(Y|X=2)5) V(Y|X=2)6) Are X and Y independent? Why?
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