Suppose that X and Y are independent, X~B(10, 0.5), Y follows Poisson distribution with parameter 4. Which of the following statement is not true? O A.E(X+Y)=9 B.E(X-Y)=1 C.D(X+Y)=6.5 O D.D(X-Y)=-1.5

Q: Suppose a sample X1, ..., Xn is modelled by a Poisson distribution with parameter denoted A, so that…

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Q: An insurance company has a portfolio of car insurance. For a given period of time, it is assumed…

A: Note: Hi there! Thank you for posting the question. As your question has 2 different questions, we…

Q: Suppose Y has a uniform pdf over the interval [3,5]. Find its (1) first quartile, its (2) median,…

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Q: Exercise 4: If X is t-student with parameter 5, determine the constants e and d so that P(X > d) =…

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Q: Let X be a Poisson random variable with E[X] = ln2. Calculate E[cosπX]

A: Given: Let X be a Poisson random variable with E[X] = ln2. The objective is to calculate E[cosπX].

Q: If X has Poisson distribution with mean 2. what is P(X<3)? Select one: a. 0.3618 b. o.6766 C. 1.4235…

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Q: Let Y1,..., Yn a iid sample from a Poisson(A) distribution. Define Y = (1/n) Yi. %3D

A: Poisson distribution: A random variable X is said to have a poisson distribution with a parameter λ…

Q: Let Y1 &lt; Y2 &lt; · · · &lt; Yn be the order statistics of a random sample of size nfrom a…

A: The pdf of kth order statistic is as follows: fyk=k×nCkf(y)Fyk-11-Fyn-k

Q: The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the…

A: Given information Probability that the brand new car is defective(p) = 0.1 Sample size n 100

Q: The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hi, thanks for posting the question. Since there are more than three sub parts posted in the…

Q: Suppose X has an exponential distribution with parameter A=1 and Y|X = z has a Poisson distribution…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: For a non-homogeneous Poisson process, the intensity function is given by           λ(t) = 5 if t…

A: Given information: The intensity function is given for a non-homogeneous Poisson process.

Q: Suppose X has a Poisson distribution with parameter A and suppose the conditional distribution of Y…

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Q: Let Y,, Y2, ., Yn denote a random sample from a power family distribution with parameter 0. (@yº-1…

A: P.d.f is given by, f(y/θ)= θyθ-1/3θ , 0&lt;=y&lt;=3 E(y)=  ∫03yfy|θdy  = ∫03 (θ/3θ)yθ dy =…

Q: Let X, denote the mean of a random sample of size n from a Gamma(, 1) distribution. Show that Vn (X,…

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Q: .Suppose that X has a Weibull distribution with parameters a and ß. Integrate to find the momer…

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Q: If X, and X, are two independent RVs that follow Poisson distribution with parameters 2, and 2,…

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Q: Let X1,..., X,|A be iid Poisson(A), and let A ~ Gamma(a, B), with a, B are known. Give two reasons…

A: Given information: The probability density function of the random variable X is as given below:

Q: Let X be a uniform random variable over the interval 1 to 4 and Y is exponential with a mean of 2.…

A: Given information: X~Uni(a=1,b=4) Standard deviation of X is: σX=b-a12       =4-112       =0.8660…

Q: Let X have the Poisson distribution with parameter Y, where Y ha he Poisson distribution with…

A: It is given that,  Y~PoissonμX|Y~PoissonY   We know that if Z~Poissonλ Then,  EetZ=eλet-1

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Q: Let Y₁, Y2,..., Yn denote a random sample of size n from a population with a uniform distribution on…

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Q: Let X has Poisson distribution with parameter A such that P(X=2) =9P(X=4) +90P(X=6). Find the value…

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Q: Let X1, X2, ... Xn random variables be independent random variables with a Poisson distribution…

A: Let x1 , x2 ......xn random variables be independent random variables with a Poisson distribution…

Q: Let (X1, ., Xn) be a random sample from the following discrete distribution: 2(1 – 0) P(X1 = 1) =…

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Q: 1. If Y has a geometric distribution with probability of success p, Derive the moment-generating…

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Q: Let x, x2,x, be a random sample of size (n) taken from Poisson( 0), and y = "x, then F(x1, x2, X,…

A: The answer is given using the formula of Poisson distribution.

Q: 2) The time between successive customers coming to the market is assumed to have Exponential…

A: GivenThe time between successive customers coming to the market X is assumed to have Exponential…

Q: 3. If X has a Poisson distribution and if P(X = 0)3D0.25, find P(X > 4).

A: Here, P(X=0) =0.25 That is, PX=0=0.25  e-λλ00!=0.25        e-λ=0.25             λ=-In0.25…

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Q: Suppose the number of cars passing through an intersection follows a Poisson process with rate A.…

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Q: Suppose Y1, Y2, Y3, and Y4 are mutually independent and identically distributed exponential random…

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Q: 2a)    The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean…

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Q: 1. Let X, 2 Poisson(A,), for i = 1,2. (a) Show that X1 + X2~ Poisson(A1 + Ag). (b) Show that X| X +…

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Q: Given that a random variable X have a Poisson distribution with 2; Find E[cos(nX)] if E(X) = In 2

A: Given information: X = a Poisson random variable The expected value of X is: EX=ln 2=λ It is…

Q: 1. Let X, 2 Poisson(A,), for i = 1,2. (a) Show that X1 + Xy~ Poisson(A + A2). (b) Show that X| X + Y…

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Q: A company has 9000 arrivals of Internet traffic over a period of 20,740 thousandths of a minute. Let…

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Q: 3. If X has a Poisson distribution and if P(X = 0) = 0.25, find P(X > 4). %3D

A: Given : X has a Poisson distribution. P(X=0)= 0.25 PX=x = e-λ×λxx! PX=0 = 0.25 e-λ×λ00!= 0.25…

Q: Suppose that X, Y and Z are statistically independent random variables, each of them with a x²(2)…

A: Result: if X~χ2(n) Mx(t)=(1-2t)-n/2 If X and Y are independent then E(XY)=E(X)E(Y)

Q: The US divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: Let y1, ... , Yn be a random sample from a uniform distribution on the interval (0, B). Let B1 , = -…

A: Given information: Given that y1, … , yn is a random sample from an uniform distribution on the…

Q: Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?

A: Suppose that X follows a Poisson distribution with parameter λ=1.416

Q: 2. Show that in a Lorentzian distribution the half width is r.

A: Introduction -   The Lorentizan function is the singly peaked function given by L(x)…

Q: 2. It can be shown that if the random variable Trepresents the time to the rth event in a Poisson…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.