1, 2... N. If X, are identically distributed then,

Q: Suppose the time it takes a nine-year old to eat a donut is uniformly distributed between 0.5 and 4…

A:

Q: Suppose f(x,y) = ry for 0<x<2, 0<y<2 then the mariginal probability distribution of X is 4

A: The marginal probability distribution formula of X is:

Q: Suppose that X has a discrete uniform distribution {' 1/3, x= 1,2,3 f (x) = 0, otherwise A random…

A: Consider, μ=∑Xf(x)  =1*13+2*13+3*13  =2 σ2=∑X2f(x)-μ2  =12*13+22*13+32*13-4  =143-4 =23

Q: 4- Suppose that y is N3(4, 41) and let -2 -4 -1 3 -2 -3 A = 4. %3D %3D 1 y Ay, What is the…

A: Given that y~N3μ, 4? μ=123 and A=2-2-4-1341-2-3

Q: N,(µ, £), where µu = (2) 1 and E = 0.5 Show that 1 0.5 Q, = (X1 – X2)² and Q2 = (X1 + X,)² are…

A: Given X~N2μ, Σ where μ=μμ and Σ=10.50.51

Q: If a variable X follows Poisson distribution with P() 1) = P(X = 2). Then, find P(X = 3) %3D %3D %3D…

A: The formula of poison distribution is:P(x)=e-λ×λxx! We are given that P(x=1)=P(x=2). Thus, equate…

Q: Suppose that X2 points is normally distributed with n = 200 and p = 0.4. Approximate the probability…

A: Given that  n=200 , p=0.4

Q: Suppose that X has a discrete uniform distribution on (0,1,2), that is P(X=k)%3D1/3, k=0,1,2, and…

A: P(X=0) = P(X=1)  = P(X=3) = 1/3   For Y : n=2, p = 1/2   Y = 0 P(Y=0) = 0.25

Q: Let X1, X2,..,X, are drawn from a geometric distribution with pmf p(x) = (1-6e)*-', x = 1,2,3,. .…

A:

Q: If X is a binomially distributed radom variable with E(X) var (X) 4/3; find the distribution of X. 2…

A:

Q: Let X denotes the number of fish captured in a trap during a day. Suppose that X has a Poisson…

A: Given, X ~ Poisson(λ = 3)             To find, P (X ≥ 9 ) = ? in two days.

Q: If X1, X2,.., X, be independent and identically distributed sample taken from N(4, c²ư), then…

A: X1,X2,X3 ,..... Xn ~N(μ,c2μ2) The answer to the above question is as follows :

Q: Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of…

A: Uniform distribution is widely used in statistics . It is very useful in modern times .

Q: 9) If X,, X X, be a random sample with size 10 from a(u,a), then the distribution of s is: a) z*(10)

A: The test statistic computed for performing the chi-square test for variance is, χ2=n-1S2σ2 Where,…

Q: The random variable x is known to be uniformly distributed between 0.5 and 2.5. Compute P(x=1.25)

A: It is given that X follows Uniform(a = 0.5, b = 2.5)

Q: Let X₁, X₂ be a random sample from N (1,1) and Y₁, Y₂ be a random sample from N (0,1), where the…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: If X1, X2, ... , Xk have the multinomial distribution of Definition 8, show that the mean of the…

A: The variable X1, X2, …, Xk have multinomial distribution. It is known that marginal distribution of…

Q: Suppose that after we arrive at a bus stop the time until the bus arrives is uniformly distributed…

A: We have given that,  X is a random variable are uniformly distributed with the interval 0 to 15 .…

Q: andom variable X have a Poisson distribution with 2; nX)] if E(X) = In 2

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

Q: Let A1,..., An and B1,., Bn be two sequences of random variables. The random variables are all…

A: From given information, A1,A2,.....,An and B1,B2,....,Bn be two sequences of random variables. The…

Q: The annual salaries for a random sample of workers in four states. At a = 0.01, can you conclude…

A:

Q: Suppose the time it takes a data collection operator to fill out an electronic form for a database…

A: Solution

Q: Suppose the inter-arrival time of people using the elevator can be modeled as X ~ Exp(1/6) (in…

A: From the given information, It has been given that X is the random variable that shows inter-arrival…

Q: Let X have a uniform distribution on the interval (1, 6). Find the probability that the sum of 2…

A:

Q: Suppose the time it takes a data collection operator fill out an electronic form for a database is…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: If a point is randomly located in an interval (a, b), and if X denotes the distance of the point…

A: (a)  Determine the probability that point lies within 25 feet of the the end line.…

Q: ) Suppose that a failure of a certain component follows the distribution f(x) = p²(1-p)'- or x= 0,…

A: Given that p(x)=px(1-p)1-x μ=pσ=p(1-p)

Q: 4- Suppose that y is N3(4, 41) and let 2 -2 -41 -1 3 H = 2 3 4. %3D 1 -2 -3 What is the distribution…

A: Given that y~N3μ, 4? μ=123   and   A=2-2-4-1341-2-3

Q: If Y is distributed N (6,9), Pr (Y< 5) =||: (Round yo

A: Here Given for Normal distribution Mean=μ=6 VAR=9 SD=σ=3

Q: 1. If we know that firm's profit, X, is uniformly distributed between losing 0.5 million dollar to…

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Q: Calculate the probability that is between 0.2  and 0.7, if x is uifomly distributed in  the interval…

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Q: If Xhas the Poisson distribution with P(X=1) = 2P(X=2), then P(X ≥ 2) is approximately

A: The probability mass function for Poisson random variable X is, Given that P(X=1)=2P(X=2).

Q: Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa.…

A: Given : Actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes a = 2…

Q: Let x1 ~ N(0,1), X2 ~N(-1,4) and X3~N(1,9) be independent.  Derive the distribution of Y=x1-x2-2x3…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: Suppose that the waiting time for a college campus shuttle is uniformly distributed between 8 and 28…

A: Given : x follows uniformly distributed between 8 and 28 minutes. a = 8b =28 Worst 15% of all…

Q: If the random Variable x has a uniform distribution the interval [0,5] on Find P(2<XS4).

A:

Q: Let X(1),..., X(n) be the order statistics from Unif(0, 0). Obtain the joint distribution of (, X(n)…

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Q: Suppose the time it takes my daugther, Lizzie, to eat an apple is uniformly distributed between 6…

A:

Q: if x1, X2, ., X, be a random sample from Bin(4,0). ........ is T = x UMVUE ? Justify your answer.

A:

Q: Suppose that W is a discrete random variable which takes on values: 12, 17, 22, 27, 32, 37, 42, 47,…

A:

Q: Let X have a uniform distribution on the interval (2, 10). Find the probability that the sum of 2…

A: From the provided information, X have a uniform distribution on the interval (2, 10) that is X ~ […

Q: If X1, X,., X, be independent and identically distributed sample taken from N(µ, c²µ²), then…

A: Given, X1, X2, …., Xn is independently and identically distributed sample from N (µ, c2µ2).…

Q: Let X~N, (u, Σ) 1. size n = 10 with μ' = (5 -2 4) 6 5 -3 Σ= 5 7 0 -3 0 4 find the distribution of X,…

A:

Q: 2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the…

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Q: A variable that can take on a finite and countable number of values is a variable O a. Poisson O b.…

A: a variable that can take on a finite and countable number of values is ?

Q: Suppose that X1, X2 are iid, and X1 ~ Exp(2). Find the distribution of X(1) = min{X1, X2}

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Q: Let X be the time (in minutes) it takes Mr. Sheikh to drive from his home to his office. Suppose X…

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Q: Suppose that X,~ N(u, oʻ), i = 1,..., n are independent. State the distribution of each of the…

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