Show that any sequence of independent random variables taking values in the countable set S' is a Markov chain. Under what condition is this chain homogeneous?

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

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Q: In the United States, someone is sexually assaulted every two minutes, on average, according to a…

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Q: A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 11 $25…

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Q: Embed the figure. One-tailed test; Confidence level of 99% Indicate the critical z-score.…

A: Given Level of significance ɑ=0.01

Q: K Twenty-four subjects volunteer for a study of a new cold medicine. Eleven of the volunteers are…

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Q: Find the median for the given data 16, 4, 7, 9 , 11, 27, 32, 44, 88

A: Answer: Given data is, 16, 4, 7, 9 , 11, 27, 32, 44, 88 Number of values = n = 9

Q: Finding the probability of a range looks kinda tricky. How do I do it? Type your Answer DO

A: introduction From the above question we have to Finding the probability of a range looks kinda…

Q: The number of rainy days per year of certain city is normally distributed with a mean of 92 days…

A: Followings are the Explanation of the question  Let X b the Continuous random variable with…

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A: Here, we have a table given. We are supposed to find the prbability that these parents have given…

Q: The heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79…

A: Introduction: Denote X as the height of a randomly selected NBA player. It is given that X has a…

Q: Suppose that X₁, X2, X3 are independent and identically distributed random variables with…

A: Given Cdf  F(x)=1-2-x; x≥0

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A: Given n=5

Q: A fair coin is thrown repeatedly. What is the probability that on the nth throw: (a) a head appears…

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

A: GivenTotal number of people =n Each person chooses another person at random. a) The number of people…

Q: Prove that P(A | B) = P(B | A)P(A)/P(B) whenever P(A)P(B) 0. Show that, if P(A | B) > P(A), then P(B…

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Q: A coin has been weighted so that landing on "heads" is 4 times greater than landing on "tails".  You…

A: A coin has been weighted so that landing on "heads" is 4 times greater than landing on "tails". i.e.…

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

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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: Let T- Exp(1) for some >0. Show that P{T>t+s T> s} = P{T>t} the conse ance of this equation for the…

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Q: Let X and Y be independent random variables each having the uniform distribution on [0, 1]. Let U =…

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Q: Consider a branching process with generation sizes Zn satisfying Zo = 1 and P(Z₁ = 0) = 0. Pick two…

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Q: Two coins are tossed 225 times simultaneously and their outcomes are noted as 1) two tails= 65 2)…

A: given data   n(total) = 225 n(two tails) = 65 n(one tail) = 110

Q: The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Let X = the number of…

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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: 7)  A decision maker who is considered to be a risk taker is faced with this set of probabilities…

A: Given that, The decision maker who is considered to be a risk taker is faced with this set…

Q: It has been claimed that the best predictor of today’s weather is today’s weather. Suppose that in…

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Q: home insurance. Its basic policy costs $ 1200 for a year and it pays out $100,000 in case of fire…

A: Given  Basic policy costs $ 1200 for a year it pays out $100,000 in case of fire damage to a home.…

Q: Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs.…

A: Given that  Mean = 245.7 , Standard deviation = 34.5 Sample size = 32

Q: The probability that Renee will win the race is 0.125 What are the odds that he will win the race?…

A: From the provided information, The probability that Renee will win the race is 0.125 that is p =…

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…

Q: A student researcher wants to determine whether the mean score in Mathematics of the 25 students in…

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Q: x + y The joint pdf of X and Y is fxy(x, y) = 3 0 a) Determine E[Y|x=1] b) Determine E[Y|x=0] 0<x<2,…

A: Method: find the marginal and tuen conditional pdf.

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g…

A: given data, normal distribution,μ=0.8554σ=0.052n=447p(x&gt;0.8539)=?

Q: The average length of a hospital stay in the US is µ = 9 days with standard deviation of σ = 3 days.…

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Q: Sabreena is playing a card game, and the odds of her winning after drowning the next card are 5:7.…

A: Given data The odds of winning after drowning the next card are 5:7

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

A: Given that  The arrival rate of patients at a hospital counter follows Poisson distribution with a…

Q: 1. Let A and B be events with probabilities P(A) = and P(B) = . Show that ≤P(ANB) ≤ }}, and give…

A: It is given that P(A)=34 and P(B)=13.

Q: For standard normal distribution find area to the right of 1.5

A: P(Z&gt;1.5)=?

Q: You can approximate the binomial and Poisson distributions with the normal, but what about the…

A: Introduction. The above question is about normal distribution can be the geometric distribution ever…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day,…

A: We have given that a= -1.215 b= 23.457 Since we know that regression equation is given by ŷ = ax + b…

Q: There are 2 sharpeners, 2 pencils,5 erasers and 4 notebooks. In how many ways a shopkeeper can…

A: Given Information: There are 2 sharpeners, 2 pencils,5 erasers and 4 notebooks. Required: To find…

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: Pick two points A and B independently at random in a ball with centre O. Show that the probability…

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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: 6)  For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) =…

A: From given data we have ; Sol: Given that data P(S1)=0.15P(S2)=0.5P(S3)=0.35   Payoff, table,…

Q: Show that the mean μ, median m, and variance o2 of the continuous random variable X satisfy (μ-m)²…

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Q: 6. Three points A, B, C are chosen independently at random on the circumference of a circle. Let…

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Q: Fuel economy estimates for automobiles built in a certain year predicted a mean of 28.8 mpg and a…

A: Given Mean=28.8 Standard deviation=5.2