2. Let X be a random variable. Is it possible that px,x² = 1 for some X? What about PX,x² = -1?

Q: Suppose that X is a Poisson random variable with À = 5. Approximate the probability that 7<X < 10.

A: The provided mean is λ=5\lambda= 5 We need to compute Pr⁡(7≤X≤10)\Pr(7 \le X \le 10)  The Poisson…

Q: 3. Suppose X anad Y are two standard normal random variables, i.e. X,Y • covariance 0.8. What is…

A: We want to fond  E(X/Y=1)= ?

Q: Suppose a simple random sample of size n=1000 is obtained from a population whose size is…

A:

Q: Suppose X and X, are both normally distributed random variable with population mean 6 and population…

A:

Q: Suppose that X is a normally distributed random variable with mean 12. If P(X>15)=0.3192…

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: We have the following information about the random variables X and Y: 4 8 11 4 225 , Cou (X, Υ) -…

A: The formula to obtain the variance between the two random variables when they are not independent…

Q: 2. Let X1 and X, be independent random variables with mean u and variance o?. Suppose that we have…

A:

Q: Show that (X1+ X„)/2 is an unbiased estimator of u, if {X1, ... , X„} is a random sample from the…

A: Solution

Q: A) Suppose that X is a random variable with if 0 < x < 2 fx(x) = otherwise

A: We have to find the var(x)  Using formula  Var(x) = E(x^2) - [E(x)]^2

Q: Suppose we wish to study the mean u of a population r1,..., IN through simple random sampling (with…

A: Given information: The investigator is specially interested to study the mean µ of the population…

Q: What is the probability that a normally distributed random variable X is greater than 85 if ux = 75…

A: Given that, Mean = 75 Standard deviation = 4

Q: This problem involves the flipping of a fair coin. Assume that the coin is flipped 4 times, and the…

A: It is given that the coin is tossed 4 times.Thus, when a coin is tossed 4 times a person can get 0…

Q: Suppose two independent random variables X1~ uniform[0,2a] and X2 - uniform[0, 2b]. Moreover, an…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 2. Suppose that X is a standard uniform random variable and Y|X = x ~Normal(x,x) for 0 ≤ x ≤ 1. Find…

A: Solution (2) There is two different questions So i am solving first

Q: Suppose that X and Y are independent normal random variables and - XE N(6,1) Y € N(8, 2) Find P(X -…

A: We have given that , X€N(6,1)       Y€(8,2) . We have to find, P(X-Y&gt;0) = ?

Q: If X is a binomial random variable and if p > 10 and n (1-p)2 10, then.Xis approximately normal with…

A: Given that  According to central limit theorem

Q: Suppose that X1, X2, X3, .., X99, X100 are independent Bernoulli(1/2) random variables. What is…

A:

Q: Suppose you have two random variables X,Y ux,Hy,o o3,0xY where Cov(X, Y) = 0x.Y You sample both…

A: The provided information is: n=81x¯=50y¯=55σ2x=25σ2y=144σxy=34.50

Q: Suppose X, Y and Z are independent random variables with var (X) = 4 , var (Y) = 4 , var (Z) = 1/n…

A: Solution

Q: In a hypothesis test for H0: μ1 = μ2 vs Ha: μ1 > μ2, we have a sample with x̄1 =26, x̄2 =21. Will…

A: Solution:  To test the hypothesis  Ho:μ1=μ2       VS   Ha:μ1&gt;μ2 x1= 26 x2=21

Q: Suppose that Alejandro is planting a garden of tulips. Let X be the Bernoulli random variable that…

A:

Q: For a poisson random variable (x) with a mean of 6.6; P(X≤1)?

A: Solution:From the given information, the random variable x follows Poisson distribution with mean as…

Q: If the random variable X is uniformly distributed between 40 and 50, then P(35≤X≤45) is?

A: The density function is given by: f(x) =1/(50-40)        = 1/10

Q: uppose x1 and x2 are independent random variables with a chi-square distribution of 2 and with v1 =…

A: It is given that X1 is following a chi-square distribution with df 5 and x2 is also a chi-square…

Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X-1. Determine P(Y>8).

A: We have, Let X be the random variable from normal distribution i.e,  N(3, 4) and Y = 2X-1 Then,  We…

Q: Suppose a simple random sample of size n=150 is obtained from a population whose size is N=10,000…

A: Introduction: Denote p as the true population proportion. It is given that p = 0.2. Denote p̂ as the…

Q: For a poisson random variable (x) with a mean of 3.3; p(x&gt;11) =?

A: The value of P (X &gt;11) is obtained below:It is given that in the value of mean is 3.3 that is…

Q: If a dicrete random variable x takes only three values 2,5 and 9 and that p(x=2)= 0.2 , p(x=5) =…

A: We have to find p value..

Q: Suppose that X is a binomial random variable with n=3 and p=0.22. What is the mean of the random…

A: It is given that X is a binomial random variable with probability of success , p=0.22 and number of…

Q: 2. Suppose that X is a standard uniform random variable and Y|X = x ~Normal(x,x) for 0≤x≤ 1. Find…

A: Given that X follows U(0,1) E(x) =1/2 V(x) =1/12   Y|X=x follows N(x, x) Here, we consider mean…

Q: Suppose a simple random sample of size n=75 is obtained from a population whose size is N=25,000 and…

A: Given : population proportion with a specified characteristic is ,  p=0.6 sample of size n=75 Let X…

Q: Suppose that X is a random variable with = { k(x° +æ), 0<x< 2; 0. fx(x) otherwise,

A: Given,   a) We know that,

Q: If x" bin(n1,p) and x2~bin(n2,p) then find the distribution of x1|x1+x2 ; where x1 and x2 are…

A:

Q: Suppose that the joint CDF of the random variables X and Y is given by: 0, x < -2 or y < -5

A: Given that Consider, the density function,

Q: .If a random variable X assumes the values 0 and 1 with

A: From the given information,

Q: Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. What is…

A: Given: X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. To Find:…

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: The probability density function (PDF) of the uniformly distributed random variable with parameters…

Q: 6. A Bernoulli trial can be modeled as a random variable X that can take on only two values: X= 0…

A: Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Q: If x,,X,. X, be Bernoulli random variables, with parameter 7, then the sufficient statistic for 7…

A:

Q: If the discrete random variable X takes on the values 1 , 2 , 3 and if P ( X = 1 ) = P ( X = 3 ) =…

A:

Q: Suppose X v N(2, 9) and Y ~ N(2, 16) are independent random variables. Then P(X + Y > 9) equals:

A: Given that X follows N(2,9) and Y follows N(2,16). To find the required probability, we have to…

Q: Suppose a simple random sample of sizen=150 is obtained from a population whose size isN=10,000 and…

A:

Q: Suppose X1, X2,.., Xn are independent random variables and each of them has a PMF Px(x) k forx =…

A:

Q: , If continuous random variable X is normally distributed with u = 5625 and o = 875.5, what is…

A: Given that X follows a normal distribution with mean= 5625 and standard deviation= 875.5

Q: Suppose that Alejandro is planting a garden of tulips. Let X be the Bernoulli random variable that…

A: Please check the solution below

Q: X is an poisson random variable with parameter λ = 4 Calculate P {X ≤ 3}

A: It is given that X is the random variable and the mean given by λ is equal to 4 The probability of X…