Let X be a Markov chain containing an absorbing states with which all other states i communicate, in the sense that pis (n) > 0 for some n = n(i). Show that all states other than s are transient.

Q: The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25…

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Q: Suppose that X and Y have joint density function ƒx,x (x, y) = (x + 4y) for 0 < x < 2, 0 ≤ y ≤ 1…

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Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: The PDF of the two independent random variables X and Y are shown in the image below. fx(x) fy(y)…

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Q: A bag has 3 red, 2 green, and 4 orange cards. If a card is randomly selected from the  bag, what is…

A: normal distribution,3-red2-green 4-orange9- total cards in beg if a card is selected from beg we…

Q: Hello, how do I go about calculating prior probability?

A: Prior probability :  It is an initial probability which obtained before the addition of new data.…

Q: 66 distributed with µ “ 150 and o “ 24. If samples of size 36 are drawn repeatedly a) what is the…

A: Given, μ=150, σ=24 and n=36.

Q: In a room full of 15 people, what is the probability that at least 2 people have the same birthday?…

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Q: That should I buy? A study conducted by the Pew Research Center reported that 58% of cell phone…

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Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

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Q: 6. What is wrong with the following line graph?

A: Given graph is

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A: Given: A card is drawn and then put back into the deck and reshuffled. Then a next card is drawn. We…

Q: Q1: Suppose the number of customers X that enter a store between the hours 9:00 a.m. and 10:00 a.m.…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: Which of the following are density functions? Find c and the corresponding distribution function F…

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Q: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

A: There are total 38 slots, n= 38  The outcomes in which we win the bet are 14,15,16,17,18,19  n(W)= 6…

Q: A biased coin is tossed repeatedly. Each time there is a probability p of a head turning up. Let Pn…

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Q: Suppose X is uniformly distributed over [-1, 5] and Y is uniformly distributed over [0, 3]. Given…

A: Given that, X~ U(-1,5)  then pdf of X,  f(X)= 1/(5-(-1)) = 1/(5+1) = 1/6 ; -1&lt;x&lt;5  and Y~…

Q: If a population of raw scores is normally distributed and has a mean μ = 80 and 2 10. Determine the…

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Q: Bertrand's paradox extended. A chord of the unit circle is picked at random. What is the probability…

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Q: A stack of Magic cards consist of 4 land cards and 6 creature cards. You draw 4 cards from the…

A: From the provided information, A stack of Magic cards consist of 4 land cards and 6 creature cards.…

Q: Flip two fair coins. Find the probabilities of the events. a. Let F = the event of getting at most…

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Q: . A traditional fair die is thrown twice. What is the probability that: (a) a six turns up exactly…

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Q: In the United States the ages 13 to 55+ of smartphone users approximately follow a normal…

A: Solution-: Given: μ=36.9,σ=13.9 We want to find IQR =?

Q: Let X1, X2,..., Xn be independent exponential variables, parameter λ. Show by induction that S = X₁…

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Q: A fair coin is tossed repeatedly. Show that, with probability one, a head turns up sooner or later.…

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Q: A box contains 17 transistors, 4 of which are defective. If 4 are selected at random, find the…

A: Solution-: Given: A box contains 17 transistors, 4 of which are defective. We select 4 at random,…

Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…

Q: Find area left to z= 2.35

A: Followings are the Explanation of the question Let Z be the Standard Normal Variable follows the…

Q: Consider a sample of 52 football games, where 31 of them were won by the home team. Use a 0.10…

A: given data,sample size n=52x= 31p^=xn=3152=0.5962α=0.10claim that the probability  that the home…

Q: Since the length of a downhill ski is related to the height of the individuals renting them, it is…

A: Given,Mean(μ)=150standard deviation(σ)=10

Q: Let X1, X₂,... be independent variables each taking the values 0 or 1 with probabilities 1 - p and…

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Q: In a branching process whose family sizes have mean μ and variance o2, find the variance of Zn, the…

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Q: 2. Each person in a group of n people chooses another at random. Find the probability: (a) that…

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Q: The PDF of the two independent random variables X and Y are shown in the image below. fx(x) fy(y)…

A: From the given information, From the above plot, fx=12*12*1, -1≤x≤0,  since, area of right angle…

Q: Flip two fair coins. Find the probabilities of the events. a. Let F = the event of getting at most…

A: Solution-: Given: Flip two fair coins. We want to find following probabilities: (a) P(the event of…

Q: Let Ar, r ≥ 1, be events such that P(Ar) = 1 for all r. Show that P(1 Ar) = 1.

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Q: The Chebyshev Inequality applies to any continuous random variable X, whatever its distribution, and…

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Q: The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation…

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Q: What is the probability that Randolph stays within the restaurant for at most 18 minutes, i.e.…

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Q: 14. The probability of a sure event is approximately one. TRUE O FALSE

A: We have to check whether the given statement is True. Note : Since you have asked multiple…

Q: A manufacturing company uses an acceptance scheme on items from a production line before they are…

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Q: Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.…

A: given data  P(see meteorin next 10 minute) = p = 0.56 odds of seeing meteor in next 10 minutes = ?

Q: A traffic study has shown that the probability that 5 cars will pass over a small bridge in a…

A: given data  P(5 cars will pass over a small bridge in 4 minutes) = p = 0.16 odds agaiast exactly 5…

Q: 6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random…

A: In question, Given that the random variable X having the distribution function P(X&lt;=x). Then…

Q: The Simple Linear Regression relationships of Systolic Blood Pressure (SBP) on Age (in years) yields…

A: From the above regression model we can see that the coefficient of variable Agei is 1.62 which is…

Q: A bag contains 6 white and 4 black balls.2 balls are drawn at random. Find the probability that they…

A: 10 balls=6(white)+4(black) nCr=n!/(r!(n-r)!) r!=r(r-1)×..3×2×1

Q: entral Limit Theorem with Propositions A researcher believes that 9% of males smoke cigarettes. If…

A: GIVEN DATA, A researcher believes that 9% of males smoke cigarettes.p=0.09n=664probability that the…

Q: Math 23 Practice Test 3 (1) The diameters of oranges from a Florida orchard are normally distributed…

A: as per guideline expert have to solve first question only. Q-1)normal distributionμ = 3.2σ = 1.1

Q: In Exercises 1–6, say how many elements are in the sample space S, list the elements of the given…

A: Note: Questions 2 and 3 are two different questions. As per the answering guidelines I have to…

Q: Find the critical value x corresponding to a sample size of 107 and a confidence level of 99%.…

A: Sample size n = 107 Degree of freedom df = n-1 = 107 - 1 = 106 99% confidence means P = 0.99…