Answered: assume that Pr[A∪B]=0.6 and Pr[A]=0.2…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A container contains 35 green tokens, 10 blue tokens, and 2red tokens. Two tokens are randomly selected without replacement. Compute P(F|E). E−you select a non−red token first F−the second token is red
For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A n B|D)
An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eight have a single slot. Suppose that eight of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 20, x = 12, and p = 8/20 8, and p = 8/12 O binomial with n = 12, x = Ⓒhypergeometric with N = 20, M = 12, and n = 8 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X=2) 1.47 P(X ≤ 2) = 0.914 P(X22) = 0.316 X X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value…
A container contains 50 green tokens, 15 blue tokens, and 4 red tokens. Two tokens are randomly selected without replacement. Compute P(F|E). E−you select a non−green token first F−the second token is gereen P(F|E)=
For any two disjoint events E and F, P(EUF) = P(E) + P(F) Select one: O True O False
For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is Pr[B]Pr[B] if AA and BB are independent events?
Let A and B be two events such that 0 < P(A) < 1. If P(B|A) = P(B|Ac), prove mathematically(not intuitively) that events A and B are independent. Show all the steps of the mathematicalproof.
Nine independent machines are used in an operation where the probability of a machine to function is o g5. The processwill not run ifone of the machines not functioning. Determine the probability of the process to operate.
An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that eight of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 10, M = 8, and n = 10 O binomial with n = 10, x= 8, and p = 8/10 O binomial with n = 20, x= 10, and p = 8/20 O hypergeometric with N= 20, M = 10, and n = 8 (b) Compute P(X= 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X= 2) = P(X ≤ 2) = P(X z 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…
Suppose 10% of the population of WVU students has tested positive for COVID-19, W1 represents the part of the population that has tested positive and W2 represents those who tested negative. X denotes a test result that the person has tested positive for COVID-19. P(W1) = 0.10 individual tested positiveP(W2) = 0.90 Individual tested negativeP(X|W1) = 0.80 test shows the individual tested positive and is correctP(X|W2) = 0.30 test incorrectly shows the individual is positiveRandomly select an individual and preform the test. The result shows the person tested positive, what is the probability that the test is correct? Use Bayes' theorem to solve.
A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?
Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?, P(B)=?, P(A|B)=?.

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assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?