NO: DATE:.. X= 1,4, 7,9,123 1s the discrete random with probabi ly distnibuti on f un cti os variables P,where P(X =x) 4,b,12 Find 9) k valwe 6) M C) P( x>M)

Q: 5. Let X be a random draw from the following box of tickets: 11 224424 6 tickets Are X and Y…

A: Given data x  0  1  1  0  1  1 y  2  2  4  4  2  4

Q: Suppose that X,Y, and Z are random variables with X ~ Bin(16, 1/4), Y ~ Geom(1/2), and Z ~…

A: Solution: Let X, Y and Z are random variables.  X~B(n= 16, p=1/4)Y~Geom(p=1/2=0.5)and Z~Poisson(λ=5)…

Q: Let X₁, X₂, ..., Xn be i.i.d. Exp(2) random variables with λ = 1. Let X₁ + X₂ ++Xn X n

A: Let  be iid  random variables with .

Q: The value of E(4M² + 2) is:-

A: Given that,The discrete random variable M has:

Q: 18. Let the random variables Y, X, X, .. be independent, suppose that YE Fs(p), where 0 < p < 1, and…

A:

Q: Let (X1, X2, ..., Xk) be a multinomial random variable with parameters (n, P1, P2, ..., Pk). Cov(X₁,…

A:

Q: the joint P. d.f. of two Suppose that random variables x and Y is as follows: f caes y) - for…

A: The range of y is  0 ≤ y ≤ 1 – x2. From the above expression the range of x can be determined. a)…

Q: Consider n dataset for binnry clessifiention The fentures are given by F1, F7 and Fr. Ench of these…

A: Here is the solution for given problem describing about the classifying of new instance using naive…

Q: X₁, X2,..., X5 be a random sa test for

A: Given: X1,X2,...,X5 be the random sample from beta. To find UMP.

Q: 11 and ơ-2. Find each of the Suppose x is a normally distributed random variable with following a)…

A: This question has multiple parts. In such cases, we are required to answer the first 3. These 3 will…

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: NT #1 Given: X and Y are random variables with pry-.75, o,-96, and o, - 114. a) Draw a rough…

A: X and Y are dependent if correlation is not zero, the we can say that x and y are

Q: 7. X-The numbers oF mobile phones sold h one ucek ih AB stoe. .y= The woights in pounds nursery. OF…

A: A random variable is a variable whose value is unknown or a function that assigns values to each of…

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

A: X is random variable over the interval of 1 to 4. Y is random variable with mean of 2. The…

Q: Choose UTE Com ) Let X.XX, be a random sample from n(u,100). If P(u-5<X <u+5)=0.9042, then he value…

A: Hello! As you have posted more than 2 different questions, we are answering the first question. In…

Q: Suppose that X, Y, and Z are random variables with X Bin(7, 1/6), Y Geom(1/2), and Poisson(6).…

A: Given that X, Y and Z are random variables with X~Bin7,16Y~Geom12Z~Poisson6 X and Y are independent.…

Q: Let Z1,., Z25 be an iid random sample from N(0,1). Find

A: It is given that Z1, Z2,...Z25 ~N(0,1) i.e. Z is a standard normal variate.  We know that the square…

Q: 2. There are n students with r females and n - r males. k students will be randomly chosen where k <…

A: There are n students with r Females and (n-r) MalesLet Y be the number of Females  k students are…

Q: Suupose that X is a discrete random varible that takes on one of the values 1,2,3,4,5. If P(X3)…

A:

Q: Let X1,...,Xn be iid random sample from U(a,b), and a is known. Suppose that T1 and T2 are the UMVUE…

A:

Q: 4. Let X₁, X2,... be independent random variables having the Cauchy distribution, and let Sn = X₁ +…

A:

Q: I PxY (xy) Consiter the followihg pdf: 2 -2 3 ad Find the variance of random varibles x and Y, b.)…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Let X,X, .Xo be a random sample from N(3,16). E(X s³) = Select one: 768 3 O 48 None

A: Basu's theorem: if T be the complete sufficient amd Z be any ancillary statistic then…

Q: 3. Hand in Use mgf's to prove that if X1, X2, X3, X4 are independent n(0,1) random variables, then U…

A: Here, we have to prove that,        if X1,X2,X3,X4 are independent n(0,1) random variables then…

Q: Let W1 and W2 be independent geometric random variables with parameters p1 and p2. find: a)…

A: W1 &amp; W2 are independent geometric random variables with parameters p1 and p2 First we will take…

Q: 2. Let V, W, X, and Y be independent, standard normal random variables. a. Find P(V + W + X + Y ≤…

A: X,Y,V and W are the standard normal distribution and independent also

Q: Suppose that the random variables Y1, . , Yn satisfy Y, = B ; + e, i= 1,..., n, where #1, ..., In…

A: From the given information, Y1, Y2,....,Yn satisfy Yi=βxi+εi, i=1,2,....,n. Here, x1,x2,....,xn are…

Q: 2. Let X and Y be random variables. Prove that px,x| = 1 if and only if Y = a +bX for some a, b E R.

A: If Y= a+bX  ........(i) Then expected Value of Y:  E(Y)= a+bE(X) Multiply equation (i) by X. XY=…

Q: Let A, B, C, D and E be discrete random variable such that A is Binomial random variable with…

A:

Q: a) Let X₁, X2, X3,..., X be a random sample of size n from population X. Suppose that X~N(0, 1) and…

A: Given  X~N(θ, 1)

Q: Suppose that+X is a continvous rondom Variable having p-d.f. F(x) (kス otherwise a) Find the constant…

A:

Q: Let X,X; be a random sample from N(0,16). If K(X} +X}): x, then K= Select one: 4 • 16 1/16 None

A: We want to find the value of K

Q: Let X₁, X₂, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1) Σ1Xi…

A: From the given information, Moment of generating function of normal distribution is eμt+σ22t2. For…

Q: a.b.c

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: 1. Let the random variable X denote a natural number selected at random from 1 to 25 inclusive. Find…

A: According to the provided information, X denotes a natural number selected at random from 1 to 25…

Q: Xn be a random sample from Let X,, X2, Beta (a, B) where a is known- Show that is sufficient for a.…

A: Given that X1, X2, . . ., Xn be a random sample from Betaα,β, where α is known.

Q: a) Let X₁, X2, X3,..., Xn be a random sample of size n from the normal distribution N(μ, σ²). i)…

A:

Q: I) Let X,, X2, X, be a random sample from n(u,100). If P(u-5< X < +5) = 0.9042, then the value of n…

A: From the given information, The sample size is n.

Q: Let X1,.,Xn be iid random sample from U(a,b), and a is known. Suppose that T1 and T2 are the UMVUE…

A:

Q: 9. Itis krnown that 0s X5, 5 & Y s 10 where X and Y are tandom variables, which of the following…

A: It is not true that E(X) will be more than 5 as X can take 5 as the highest value. Also it is not…

Q: 1) Let X, X X, be a random sample from n(u,100). If P(u-5<X <u + 5) =0.9042, then the value of n is:…

A: X1 , X2 , ...., Xn are samples from the distribution N(µ,100) So, X have a distribution Nµ,100n…

Q: Let X be a discrete random variable with the following PMF: for x = 0 Pxx = a. Find Rx, the range of…

A:

Q: if x1, X2, ... .., Xn be a random sample from Bin( 1,0). Show that T = x is UMVUE

A:

Q: Let x, ,X, Xn be a random Sample Sizen from the ... Bernouli P.mf. n=IO

A: Given information: Given that the random variables X1, X2, …, Xn are from a Bernoulli distribution…

Q: BPS used ANOVA to analyze the results of a study to see which of two colors best attracts cereal…

A: Given information: Yellow White 45 21 59 12 48 14 46 17 38 13 47 17

Q: 20. Let X1, X2, ..., Xn be independent, Exp(a)-distributed random vari- ables, and set Y = X(1) and…

A: Given that X1, X2, . . ., Xn be independent, Expα-distributed random variables.