8. A pride of lions can migrate over three distinct game reserves (either R1, R2, or R3)in search of food. Based on data about food resources, researchers conclude thatmonthly migration patterns of the lions can be modeled by a Markov chain with thefollowing data:Probability of 0.5 that the lion will stay in R1 when it is in R1;Probability of 0.4 that the lion will move from R2 to R1;Probability of 0.6 that the lion will move from R3 to R1;Probability of 0.2 that the lion will move from R1 to R2;Probability of 0.2 that the lion will stay in R2 when it is in R2;Probability of 0.3 that the lion will move from R3 to R2;Probability of 0.3 that the lion will move from R1 to R3;Probability of 0.4 that the lion will move from R2 to R3; andProbability of 0.1 that the lion will stay in R3 when it is in R3.(a) Build the "boxes" and then build the Probability transition matrix.(b) If the lions are initially tracked in R2, where will they be after a month?(c) Where will the lions be after 6 months? Use an online calculator to find thematrix p6. Show the remainder of your work.(d) Long term show where the lions are likely to hunt.Table 1: Input required per Dollar OutputManufacturing Agriculture Utilities$0.10ManufacturingAgricultureUtilities$0.50$0.10$0.20$0.50$0.30$0.10$0.30$0.40Suppose the open sector has a demand for $7900 worth of manufacturing, $3950worth of agricultural products, and $1975 worth of utilities.(a) Can the economy meet this demand? You MUST use the inverse to solve thisequation for marks.(b) If it can, find a production vector, i that will meet it exactly.

*Answer: Given that : A pride of lions can migrate over three distinct game reserve (either…

Answered: Probability of 0.2 that the lion will…

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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A class contains 40 students. The probability of failing in one of the courses for each student is 0.03, but there is no chance to fail in more than one course. You know that a student failed in a course, the probability that the fail reason in non-attendance is 0.04. All other fail reasons are low average. The examinations are private, so the results are mutually independent. Let X and Y be the numbers of failed students due to non-attendance and due to low average, respectively, in that class this semester. Find the joint MGF
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
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Your probability professor has a tabby cat who sleeps 34% of the time and seems to respond to stimuli more or less randomly. If a human pets her when she’s awake, she will request more petting 8% of the time, food 38% of the time, and a game of fetch the rest of the time. If a human pets her when she’s asleep, she will request more petting 33% of the time, food 41% of the time, and a game of fetch the rest of the time. (You can assume that the humans don’t pet her disproportionally often when she’s awake.) • If the cat requests food when petted, what is the probability that she was asleep? • If the cat requests a game of fetch when petted, what is the probability that she was not asleep?
Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?
O Whats inside of blo. S Watch Cra zy Rich A Car inspection: Of all the registered automobiles in a city, 6% fail the emissions test. Nine automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly four of them fail the test. The probability that exactly four of them fail the test is Part 2 of 4 (b) Find the probability that fewer than four of them fail the test. The probability that fewer than four of them fail the test is Part 3 of 4 (c) Find the probability that more than three of them fail the test., The probability that more than three of them fail the test is
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Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.
The circuit shown below operates if and only if there is some path of functional devices from left to right. The probability that each device functions is shown for each device and the devices operate independently of each other. What is the probability that the circuit operates? 0.9 0.9 0.8 0.95 0.95 0.9 (A) None of these (B) 0.5263 (C) 0.1642 (D) 0.9850 (E) 0.9702
8 -The probability of an investor to invest his savings in foreign currency is 0.45, the probability of investing in gold is 0.42, and the probability of buying government bonds is 0.37. In addition, the probability of investing in foreign currency and gold together is 0.10, the probability of buying both foreign currency and government bonds is 0.12, the probability of buying both gold and government bonds is 0.20, and the probability of buying all three is 0.05. What is the probability that this investor will invest his savings in foreign currency or not in gold?a)0.65 B)0.05 NS)0.58 D)0.78 TO)0.35

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