If the variances of two random variables are 23 and 18, find the minimum and maximum possible values of the covariance of the two variables.

Q: Give two ways to compute the variance of a continuous random variable.

A: 1.Using expectation formula i.e.      here E(X) of a continuous variable X  can be calculated as…

Q: The probabilities that a patient will have 0,1,2, or 3 medical test performed on entering a hospital…

A: To find mean, variance and standard deviation.

Q: 2. In the random effects model, the null hypothesis is about the variance of the effects of the…

A:

Q: Two iid Gaussian random variables X, and X, have mean my and variance . Their sample mean and sample…

A: Given information: Given that X1 and X2 are two iid Gaussian random variables with mean mx and…

Q: Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the…

A: We have given that the two dice are rolled. The total possible outcome of rolling two dice are 36.

Q: If the range of X is the set {0,1,2,3,4} and given that each outcomes are equally like to occur,…

A:

Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

A: Given,n=20p=0.65A random variable X~Binomial(n=20 , p=0.65)P(X=x)=20x0.65x0.3520-x  ;…

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

A:

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

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

Q: If two random variables are independent,then a. knowing the value that one takes on tells nothing…

A: We know that  If two random variable are independent  COV(X,Y)=E(X,Y) - E(X)E(Y)

Q: The average stock price for a company is $30, and the variance is 67.24. Assume that the stock…

A: From the provided information, The average price for a company is $30 and variance is $67.24. That…

Q: the probability that a ball dropped from a certain height will strike the ground is 80 percent and…

A: Given: Number of trials or balls (n) = 12 Probability of success  here (p) = 0.80 Let X ~ Bin(12,…

Q: then the value of variance of X is

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…

A: We know that  if λ is the average number of successes occurring in a given time interval or region…

Q: Explain the Covariance functions as applicable to random processes.

A: The autocovariance function CX(s,t) of a random process {X(t)} is a function of two times s and t.…

Q: If the random variable x is distributed through the Binomial(n,0.5), if the mean of x =3,then the…

A: We have to find variance of x...

Q: Let X ∼ Binomial(n, p) with n known. Find the maximum likelihood estimator of p. What is the (exact)…

A:

Q: If X is binomially distributed with mean 3.20 and variance 1.152, find the complete binomial…

A: Binomial distribution : - If X follows Binomial distribution with parameter n and p then probability…

Q: In a 25-Question multiple-choice, there are five possible answers of which one is correct. Let X:…

A: X=number of correct answers  n=number of trials=25 p=probability of success= 1/5 =0.2 [because each…

Q: If Random Variable H is getting a head in tossing 4 coins, what is the mean and the variance?

A:

Q: If it is known that the percentage of successful students is 75%, and you take a sample of 15…

A: Givenp=0.75n=15Let "x" be the no.of successful bears x~Binomial(n=15,p=0.75)P(X=x)=(nx)(p)x(1-p)n-x…

Q: Suppose data X1, ..., Xn are sampled from the population, sample mean is a random variable

A: It is given that Sample : x1, x2,......,xn

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

A:

Q: When the population variances are unknown and are not equal in a hypothesis test for two population…

A: Given : When the population variances are unknown and are not equal in a hypothesis test for two…

Q: 6. If the variance of grades in an Economics course is 25, each student should unconditionally…

A: Given that: The variance of grades in an Economics course is 25.

Q: The number of computers sold per day   at a local computer store are 0 , 1 , 2 , 3 , 4 and its…

A: Given: Probability distribution for number of computers sold per day at a local computer store. The…

Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: O A. median…

A: Correct answer is (C) mean equals the variance

Q: A beverage company has two bottling plants in different parts of the world. To insure uniformity in…

A: The given data is, Plant A Plant B 12.9 13.3 14.2 13.7 13.7 13.4 13.2 13.5 13.8 12.6…

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: The variance of the random variable aX is equal to a times the variance of X.

A: The variance of the random variable aX is equal to a2 times the variance of X i.e.  We have to prove…

Q: What is the distribution of the random vector (X1 +2X2, X - X2)?

A: Given that X follows tri-variate Normal distribution.

Q: The range of the random variable X is {30, 1, 2, 3, a} , where a is unknown. If each value is…

A:

Q: Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?

A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…

Q: In an art school, the time it takes for students to paint a dessin painting is normally distributed…

A:

Q: Let X and Y be independent random variables. Suppose X has variance 2 and let Y have variance 5.…

A: Given Data: Var(X)=2 Var(Y)=5

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: Let p be the probability that it rains any day in a month. Given that p = 2/3 Let X represents the…

Q: For a Poisson random variable, what is the relationship between its parameter and its mean?

A:

Q: In an analysis of variance problem if SST = 120 and SSTR = 90, then SSE is

A: It is given that SST =120 and SSTR = 90.

Q: It is known that the probability of winning Galatasaray Professional Football Team in matches is…

A:

Q: Within the MedTech Department, students were randomly assigned to one of two Biostatistics teachers…

A: Given that, n1 = 30 n2 = 25 x¯1=82.5x¯2=83.9 s12=80s22=125

Q: If the correlation coefficient of two random variables is zero then they are independent. True False

A: From the provided information, The correlation coefficient of two random variables is zero.

Q: a population has a variance of 6.4, what is the variance of the sampling distribution of the means…

A: variance  = 6.4 standard deviation = 6.4                                 =2.5298

Q: If two large random samples are drawn from two populations, each having a mean of $100, the relevant…

A: The mean difference or difference in means, measures the absolute difference between the mean value…