In a product quality inspection, products are tested in two rounds. A product is qualified if it has a ratingof 1 or 2, and it is not qualified if it has a rating of 0. The following is the joint probability distribution:Round 1 (X)0 1 20 0.027 0.141 0.029Round2 (Y)10.190.094 0.1022 0.074 0.163 0.181. If a product is randomly chosen, find the probability that this product is evaluated as qualified inboth rounds.Answer:2. If a product is randomly chosen, find the probability that this product is evaluated as qualified in thesecond round given that it is not qualified in the first round.Answer:3. Compute E(XY).Answer:

Answered: Image /qna-images/answer/4d26eb99-accb-4e71-bc39-436d0bd16b92.jpg

Answered: 1. If a product is randomly chosen,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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7. Complete the spreadsheet section below so that columns A through C are complete for numbers 1 to 100. (The value for a should be a random number generated by the formula in cell E1.) A B C D E 1 X x^2 x^2+a a =RANDBETWEEN(-10,10) 2 1 2
King, a golden retriever, can find a tennis ball hidden in his yard 89% of the time, while Tessa, a Labrador mix, can find a tennis ball hidden in her yard 94% of the time. Suppose King’s owner hides a tennis ball in his yard 100 times and Tessa’s owner hides a tennis ball in her yard 150 times. Let K = the proportion of times King finds the tennis ball and T = the proportion of times Tessa finds the tennis ball. What is the probability that the proportion of tennis balls King finds is greater than the proportion Tessa finds? 0.050 0.088 0.476 0.912
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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 work
A nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) XY A 3 3 9 B 1 3 C 2 1 2 D 4 2 8 E 5 4 ΣXY =42 Fill in the missing values in the X² column of the following table, and then calculate ΣX². Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) X² A 3 3 9 B 1 3 1 C 2 1 D 4 2 16 E 5 4 ΣX² =55 Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Child Hours of TV Watched (X)…
A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
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You are allowed to take a certain test three times, and your final score will be the maximum of the test scores. Your score in test k, where k = 1, 2, 3, takes one of the values from k to 10 with equal probability 1/(11 − k), independently of the scores in other tests. What is the PMF of the final score?

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