13) THE MARKOV CHAIN EXPERIMENT DESCRIBED BELOW HAS TWOSTATES: USING A CREDIT CARD AND NOT USING A CREDIT CARD.Hard HTA. GIVEN THE FIRST MONTH FIND THE PROBABILITIES FOR THE THIRDMONTH.P =Given monthCard usedCard not usedB. FIND THE STEADYSTABILIZE.Next month:Usescard.8831.3Card isnot used(6 POINTS14) GIV.27Pr(a woman used a charge card) = .9Pr(a woman did not use a charge card) = .1A = [91]211ASTATE VECTOR WHERE THE PROBABILITIES

Answered: Image /qna-images/answer/9d895022-a6c7-4282-bc67-5a63532950c7.jpg

Answered: 13) THE MARKOV CHAIN EXPERIMENT…

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 biased coin has a 2/3 probability of landing heads and a 1/3 probability of landing tails.You toss the coin 9 times. Which of the two options below is more likely to happen?• The coin lands heads only 3 times, and lands tails 6 times.• The coin lands heads all 9 times.
4:23 AA www-awn.aleks.com O PROBABILITY Tree diagrams for conditional.. For a recent evening at a small, old-fashioned movie theater, 45% of the moviegoers were female ar 55% were male. There were two movies playin that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy wa more popular than the war ulm: 80% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 50% of the males aended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer…
Exercise 4. A certain species of plant always has either three or five leaves. The number is random, with P(3 leaves) 0.4 and P(5 leaves) = 0.6. Each plant has a flower which, randomly, is either open or closed, with probabilities P(open) = 0.8 and P(closed) = 0.2. A botanist collects 1000 randomly chosen plants from this species and nds the following distribution of traits: open closed N3,closed 3 leaves N3,open 5 leaves NE,open N5, closed a) Assuming the two traits are independent, determine the expectations of the counts №3,open, N3,closed, N5,0-en, and N5,close in the table. b) Determine an approximate value for the probability P(N3,open > 340). Exercise 5. Assume that we have observed the following values from a normal distribution with known variance o2 = and unknown mean . 1.23 -0.67 1.16 1.67 0.24 2.99 0.02 .17 0.27 21. Test the hypothesis Ho: = 0 against the alternative H₁: #0 at significance level a = 5%. Exercise 6. Let 0> 0 and XU[0,0], i.e. X is uniformly distributed on…
6.34. Jay has two jobs to do, one after the other. Each attempt at job i takes one hour and is successful with probability p¡. If p₁ = .3 and p2 = .4, what is the probability that it will take Jay more than 12 hours to be successful on both jobs?
3.76 An experiment results in one of five sample points with the following probabilities: P(E1) = .22, P(E2) = .31, P(E3) = .15, P(E4) = .22, and P(E5) = .1. The follow- ing events have been defined: А: {Ej, Eз} В: { E2, Ез, Ед } C: {E1, E5} Find each of the following probabilities: а. Р(А) b. Р(B) с. Р(АПB) d. P(A|B)
A Bernoulli process has 4 trials and probability of success 0.31. Find the following probabilities. 1. Exactly 2 successes. 2. Exactly 2 failures. 3. At most 1 success. ... 4. At least 1 success. 5. At least 1 success and 1 failure.
18.18 Colors of M&Ms. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. a. Here are the probabilities of each color for a randomly chosen plain M&M produced at the New Jersey factory: Color: Blue Orange Green Yellow Red Brown Probability: 0.250 0.250 0.125 0.125 0.125 ? What must be the probability of drawing a brown candy? b. The probabilities for plain M&Ms produced at the Tennessee factory are a bit different. Here they are: Color: Blue Orange Green Yellow Red Brown Probability: 0.207 0.205 0.198 0.135 0.131 ? What is the probability that an M&M chosen at random from the Tennessee factory is brown? c. What is the probability that a plain M&M from the New Jersey factory is any of blue, yellow, or orange? What is the probability that a plain M&M from the Tennessee factory has one of these colors?

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