Show that the chain of independent random variables has a unique stationary distribution and find what it is.

Q: What are Gamma Random Variables?

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Q: which of the following random variables isn't discrete? (a) the number of children in a family (b)…

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Q: Derive an interative  formula for the probability function of poisson distribution.

A: The binomial distribution works when we have a fixed number of events n, each with a constant…

Q: A function of a random variable which describes the probability of that random variable is

A: A function of a Random Variable which describes the probability of that random variable is called…

Q: The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or…

A: Since the question has multiple sub parts we will solve the first three sub parts. Please resend the…

Q: Let of a loss due to damsge of insueed house and X be the payment by the insurance company. define…

A: Let Y: loss due to damage of insured house. Let X: Payment by insurance company.

Q: The time to fly between New York City and Chicago is uniformly distributed with a minimum of 80…

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Q: Find the moment generating function and the characteristic function of a Poisson distribution.

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Q: If X is a Poisson random variable with a rate of 5. Then, Calculate the probability P( X < 2)?

A: The probability mass function of a Poisson distribution with rate parameter  P(X=k)=e-λ·λkk! where λ…

Q: explain the  physical meaning of entropy of  a random variable

A: It is an important part of statistics. It is widely used.

Q: An individual can be either susceptible (S) or infected (1), the probability of infection for a…

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Q: A continuous random variable can take on only specific, distinct values. True or False

A: A continuous random variable can take on only specific, distinct values.True or False

Q: probability distribution of two-dimensional random variable (X,Y)

A: To calculate P(X=1|Z=0), we need to find the conditional probability that the red ball is selected…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

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Q: Customer A and B are being served by two clerks in the post office. Customer C is waiting and he is…

A: Let's consider the possible scenarios:Customer A is served first and leaves last.Customer B is…

Q: (i) only one breakdown, (ii) at least one breakdown.

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Q: is x discrete or a continuous random variable

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Q: The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120…

A: Given,A random variable X~U(120 , 150)f(x)=1150-120f(x)=130   ;   120≤X≤150

Q: Classify the following as either a discrete random variable or a continuous random variable. The…

A: Discrete random variable: When the values taken by the variable are countable, that is if space…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a poisson random…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: ps) Let X, be the price (in dollars) of stock i one year from now. X1 is N(20, 100) and X2 is N(15,…

A: Given information: X1~N20, 100X2~N15, 25

Q: On average, 5 traffic accidents per month occur at a certain intersection. What is the probability…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: Find the joint probability function of (X,Y) where

A: Provided information is, two cards are drawn at random from a box which has 5 cards numbered 1, 2,…

Q: conditions required for a random variable X to follow a Poisson process.

A: *Answer:

Q: which of the following random variables isn't discrete? (a) the number of children in a family (b)…

A: Since we know that A discrete  random variable is a variable thatcan be counted.while on the other…

Q: Let the random variable X represent the number of customers who arrive in a store in one hour.…

A: As per the question X represents the number of customers who arrive in a store in one hour X ~ P(λ =…

Q: A firm has two cars which it gives on rent every day. Average demand of car is 1.5 per day. Using…

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Q: When do you call two random processes to be joinily wide-sense stationary ?

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