Q4: Mega telephone company deal with two phone brands. IPhtend to buy new phone every year. Customers can switch betwethat the trials of an associated Markov process are defined as onprobability of the states is based in the previous period. Historitransition probabilities:ToFromiPhone SamsungiPhoneP₁1P12Samsung0.32P22assume that π₁ = 0.65Find the transition matrix P

Solution Given matrix is the transition matrix with missing entry.

Answered: Q4: Mega telephone company deal with…

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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Q5b
9
A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A₁) = 0.16 P(A2) = 0.10 P(A3) = 0.07 P(A₁ UA2) = 0.18 P(A2 UA3) = 0.14 P(A₁ UA3) = 0.18 P(A1 A2 A3) = 0.02 (a) What is the probability that the system does not have a type 1 defect? (b) What is the probability that the system has both type 1 and type 2 defects? (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? (d) What is the probability that the system has at most two of these defects?
Q2. (a) A construction company receives 68% of its ready mix concrete from supplier A and the remainder is supplied by supplier B. From records of previous consignments, it is known that the probability that the ready mix concrete from supplier A is of low quality and needs to be returned is 0.03, while the probability that the ready mix concrete from supplier B needs to be returned is 0.06. ) Display these probabilities on a tree diagram. (i) Calculate the probability that a consignment of ready mix concrete delivered to the construction company is of low quality and needs to be returned. (ii) Given that a consignment of ready mix concrete needs to be returned, calculate the probability that it was supplied by supplier A. (b) A company is tendering for 6 new contracts. Penalties will be applied if any of the contracts are not completed on time. The cost due to not completing a contract on time must be accounted for in the tender price. In recent years, this company has completed 20…
4. Neo notices that a glitch in the matrix occurs an average of 3.3 times per week. He also sees that 31% of all cats are black. Last week, he saw 39 cats. Here, assume that a observing a glitch in the matrix and seeing a black cat are independent events. а. What is the probability of Neo seeing more than 3 black cats and noticing at most one glitch in the matrix last week? b. What is the probability of Neo seeing fewer than 22 black cats?
A market survey shows that 90% of the population used Brand X laundry detergent last year, 8% of the population gave up doing its laundry last year, and 9% of the population used Brand X and then gave up doing laundry last year. Are the events of using Brand X and giving up doing laundry independent? Is a user of Brand X detergent more or less likely to give up doing laundry than a randomly chosen person?
A certain system can experience three different types of defects. Let A, (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.15 P(A2) = 0.09 P(A3) = = 0.07 P(A₁ U A₂) = 0.16 P(A₂ U A3) = 0.13 P(A₁ U A3) = 0.17 P(A1 A2 A3) = 0.02 (a) What is the probability that the system does not have a type 1 defect? (b) What is the probability that the system has both type 1 and type 2 defects? (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? (d) What is the probability that the system has at most two of these defects?
Suppose we believe that with probability p a person will play a certain Nash equilibrium and that this probability is the same for all people. We do not know p, but have reason to believe it is about 25%. To test this hypothesis against the two-tailed alternative, we put 100 subjects through an experiment and observe 20 of them playing the Nash strategy. Based on the experimental results, conduct a parametric test, test whether p = 25% when α (type 1 error) = 0.05.
ANSWER D AND E ONLY
Is there a unique way of filling in the missing probabilities in the transition diagram shown to the right? If so, complete the transition diagram and write the corresponding transition matrix. If not, explain why. 0.3 OA. Yes. The probability of transition from A to A is probability of transition from C to B is. (Type integers or decimals.) 0.4 0.5 0.7 B 0,2 0.1 Is there a unique way of filling in the missing probabilities in the transition diagram? If so, identify the missing probabilities. If not, explain why. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. the probability of transition from B to C is and the OB. No. It is possible to find the probability of transition from A to A, but the probability of transition from B to C is needed to find the probability of transition from C to B (and vice versa). OC. No. At least one of the missing probabilities is needed to find the other two. OD. No. It is possible to find the probability…
7. Player A and player B have a payoff matrix shown below. If A (row player) has an optimal strategy of (424) and B has an optimal strategy of (1/3 1/3 1/3), what is the expected value of the game? P = 2 5 -2 -3 1 2-2 4 3
5

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