Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation between X and Y is 0.64. Find Var (X+Y).

Q: If X is distributed as N(0,2), and Y = 3 + 2X. (a) What is the mean of Y? (b) What is the variance…

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

Q: For this sample data, x = 23. 3 years and s = 3.4 years. Test the null hypothesis that this…

A: Given information: The data represents the values of number of firms for the ranges of average…

Q: If X has a normal distribution with mean 1 and variance 4, the P(X^ 2 -2X<=8)=?

A:

Q: Let X and Y be identically distributed with mean 3 and variance 25. (a) If X and Y are uncorrelated,…

A: Let X and Y be identically distributed with mean 3 and variance 25 . Therefore, EX=3,  EY=3, VarX=25…

Q: Consider the following data. Find the variance. Round your answer to one decimal place.

A: Answer:- Given probability mass function of X x -5 -4 -3 -2 -1 P(X = x) 0.2 0.3 0.2 0.1 0.2…

Q: Based on the regression output, approximately what % of the variance is explained by the regression…

A: Given Multiple R = 0.8299 R square = 0.7511 Adjusted R square = 0.7015 Standard Error = 65.3355…

Q: If the variance of a binomial variate is 16, then the standard deviation of the variate is O a. 16 O…

A: Let VarX be the variance and σ be the standard deviation The relation between the variance and…

Q: If the mean of the Poisson distribution is 2, then the variance is .A 2 (1 – 22) .B 1 .C .D

A: Let X be a random variable following the Poisson distribution with the parameter λ. The probability…

Q: For which of the following distributions is the mean greater than the median? (A) (B) (C) (D) (E)

A: The mean and median are usually same for symmetric distribution.

Q: The standard deviation of a binomial distribution is 4, then the variance of the distribution is а.…

A: We know that, Variance=(standard deviation)2 Here standard deviations =4

Q: The range and the variance are both measures of distance.

A: Solution-: The range and the variance are both measures of distance.

Q: Derive the formulas for the mean and the varianceof the Poisson distribution by first evaluating…

A:

Q: A pet association claims that the mean annual costs of food for dogs and cats are the same. The…

A: From the provided information,

Q: For a set of data obtained from a bell-shaped distribution with a mean of 12 and a variance of 25,…

A: According to an empirical rule, which is also known as 68-95-99.7 rule, 68%,95% and 99.7%…

Q: Let X and Y be identically distributed with mean 4 and variance 25.(a) If X and Y are uncorrelated,…

A: a) If X and Y are uncorrelated then Cov(X,Y)=0, given V(X)=V(Y)=25 Answer(a): 50

Q: Which of the following better approximates the variance of the sample means? b. 4. VN-n N-1 a. 4 vn

A: Varince is the measure of dispersion. It used to understand the variance of each observation from…

Q: If the variance of a binomial variate is 4, then the standard deviation of the variate is а. 2 O b.…

A: We know that, Standard deviation=√ Variance

Q: Given a normally distributed population with a mean of 100 and variance 100, find f) P(90 Sx S 115)…

A: Let X be the random variable from normal distribution with mean (μ) = 100, variance (σ2)= 100 Then,…

Q: For a sample with M = 10 and s = 2, a score of X = 13 would be considered an extreme score, far out…

A: According to range rule thumb if any observation is less than M – 2s, or greater than M + 2s, then…

Q: Suppose P(X E {1,2,3})=1 and E(X) =2.5. What is the smallest and largest possible values for the…

A: P(x=i) =pi where i = 1,2,3 Since P(X belongs to {1,2,3}),  p1+p2+p3 = 1…

Q: Find the MGF of the binomial distribution and hence find its mean and variance. Binomial…

A:

Q: The speeds of motorists passing a particular point on a motorway are found to be normally…

A: Given that, The percentage of motorists whose speed exceed 120 km/h is,

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: Variance of a Random Variable: The variance of a random variable X, denoted by Var(X), is defined as…

Q: As the n and number of samples you take increases, so does the mean none of the above accuracy…

A: Statistics is the branch of applied Mathematics in which we do collection, analysis, interpretation…

Q: Suppose that for a given computer salesperson, the table below gave the probability distribution of…

A: Given  The probability distribution of systems sold in 1 month Where X represents the number of…

Q: If the mean and variance of a binomial distribution with parameters (n,p) are 40 and 30…

A:

Q: Which of the following better approximates the variance of the sample means? a. 4 b. 2. VN-n Vn N-1

A: here given, σ = population standard deviation  N= population size  n= sample size

Q: Variance, and he data. e?

A: Given : The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a…

Q: If the variance of a binomial variate is 16, then the standard deviation of the variate is O a. 4 O…

A: Given Variance of data is 16 WE know that , Standard Deviation = Variance…

Q: coefficients

A: X y 58.5 -100.8 59.9 771.6 75 -1365.4 60.6 -660.3 66.8 1306.9 63.5 1061.3 57.8 -645.3…

Q: (1) The mean and variance of y, are, respectively,

A: by bartleby policy i can give only one question at time. so ,sorry for 2nd question

Q: From the community hospital and clinics around a city, the ages of dentists, nurses and physicians…

A:

Q: For a binomial distribution mean is 6 and variance is 2. Find the P(X = 4). O 0.1024 O 0.0012 O…

A: Given : Also, The mean of the distribution (μx) is equal to n * P  = 6 The variance (σ2x) is n * p…

Q: Given a binomial variable with a mean of 20 and a variance of 16, find n and p.

A:

Q: For a binomial distribution mean is 6 and variance is 2. Find the P(X = 4). %3D O 0.1024 O 0.0012 O…

A: Let X be a random variable. In the given scenario, the random variable X follows binomial…

Q: Suppose a random variable X is best described by a normal distribution with =60 and et=14 Find the…

A: Given  Mean (mu) = 60 Variance(σ2)= 144 Standard deviation(σ)=√144= 12 Raw score(x) = 96

Q: If Y is Normally distributed , and p(y 200 ) = 0.03 then the values of the mean and variance of Y ,…

A: Given : P(y &lt; 170) = 0.14 P(y &gt; 200) = 0.03 Y is normally distributed.

Q: Given: The length (X) of reticulated pythons follows a normal distribution with mean 16 feet and a…

A: Note: According to Bartleby, expert solve only one question and maximum 3 subpart of the first…

Q: For a population that is normally distributed with a very large population size compared to the…

A: From the given information, let X be a random variable which follows normal distribution with mean…

Q: If a distribution of data follows a normal distribution, we would expect that the __________, and…

A: If a distribution of data follows a normal distribution, we would expect that the Mean median and…

Q: therefore, it means that the average number The mean is equal to of cellular phones of sold per day…

A: Probability is a common term everyone use in their day-to-day life. For example, probably an 80%…

Q: If covariance between X and Y variables is 10 and the variances of X and Y are respectively 16 and…

A: The objective is to find correlation coefficient

Q: The mean and variance of a binomial distribution are 4 and 4 respectively. Find P(X 21). 3. -

A:

Q: A certain data set has a variance of 9.  Find the standard deviation of the data set.

A: Given :-   Variance (S2) =9   we have to find standard devistion.

Q: Find the m.g.f of uniform distribution and hence find its mean and variance.

A:

Q: If l is the mean of a Poisson Distribution, the Variance is given by O a. Ob. Oc.

A: We have to find variance of poissiion distribution