If E[X]=0 and Var(X)=3, then E[(2+3X)2]= and Var(1+5X)=

Q: 1. Suppose that X1 and X2 are random variables with zero mean and unit variance. If the correlation…

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

Q: TABLE 10-3 A real estate company is interested in testing whether the mean time that families in…

A: Critical value is -2.33 at left tailed test

Q: Example 13-13. Can vaccination be regarded as a preventive measure for small-pox from the data given…

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Q: QUESTION 18 Y 6. 6. 10 8. 10 10 12 10 12 10 What is the variance accounted for in Y by X? .50

A: Answer- GIven X Y 6 6 10 8 10 10 12 10 12 6 10 8

Q: QUESTION 14 Given the intercept on y axis to be 31 and Sxx33445 and Sxy 2004 for given y = 80, the…

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Q: Consider the model Y = B1 + B2X + e, which we estimate using a random sample with 12 observations.…

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Q: The management of a supermarket wants to adopt a new promotional policy of giving free gift to every…

A: Assume, X be the random variable representing the expenditure of customers at supermarket (in £). It…

Q: If X is a Poisson variable such that P(X = 2) = 9P(X = 4) +90 P(X = 6), %3D %3D %3D find the mean…

A: Both the above given questions are same I am giving Answer one of them.

Q: Question 6 The height of girls follows a normal distribution with mean u = 170 cm and the variance…

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Q: Question 5 Let X1 and X2 be random sample of normal distribution with mean 1 and 2 and variance 3…

A: Solution

Q: Q3/A/ Let X be a r.v with p.d.f f(x) =;e-lkl - 00 <x < 0, then the value of variance of X is

A: 3. Given information: It was stated that X is a random variable and the probability density function…

Q: If X is a Poisson variable such that P(X= 2) = 9P(X = 4) + 90P(X=6), find the mean and variance of…

A: Let X be the random variable from Poisson distribution  with P(X=2) = 9P(X=4) + 90P(X=6)  Then,  We…

Q: Calculate L = E(Ä|X1) and find its variance. Is the variance of L smaller than the variance of Ä? Is…

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Q: If X is an unknown with the only possible values 11,12,13,14, or 15, and all are equally likely as…

A: Given that, X is an unknown  with all possible values 11, 12, 13, 14 or 15. These given values of X…

Q: 1. Suppose that X1 and X2 are random variables with zero mean and unit variance. If the correlation…

A: Hi, thanks for the question. Since there are multiple questions posted in the question, we will…

Q: Policy loss X is distributed as E(0.01). If there is a deductible of d = 7, calculate the mean and…

A: 2. From the given information, the policy loss X is distributed as E0.01. Given that the deductible…

Q: a) Ignore the birth weight (x). If the length of gestation are independently and identically…

A: Reviewing information, x={60,110,44,900,107} y={122,241,61,365,617} n=5 The fitted model…

Q: Example 17.12. If T1 and T2 are two unbiased estimators of y(0), having the same variance and p is…

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Q: Section I 1. Consider a discrete random variable X with pmf summarized in the table below. -3 4.…

A: 1. The given probability mass function table is, x -3 2 4 fx 0.45 0.3 0.25

Q: 5.lf two samples are selected from the same population, under what circumstances will the two…

A: We uses t-test to test the hypothesis about an unknown population mean.

Q: A portfolio with a beta of 0.7 with market and residual variance of 10, market variance being 196 ,…

A: Given information: The residual variance is σe2 = 10. The market variance is σM2 = 196. The beta…

Q: Historically, the proportion of people who trade in their old car to a car dealer when purchasing a…

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Q: Question 3: A tire manufacturer claims that the variance of the diameters in a certain tire model is…

A: 3. Given: σ2=8.6s2=4.3n=10 Hypothesis: Null hypothesis: H0: σ2=8.6Alternative hypothesis: H1: σ2≠8.6…

Q: Question Five The management of a supermarket wants to adopt a new promotional policy of giving free…

A: 5) The mean and standard deviation of the first customer is μX1=400σX12=900 The mean and standard…

Q: Derive the mean and he variance of X ~ Beta Ca, f).

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Q: Historically, the proportion of people who trade in their old car to a car dealer when purchasing a…

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Q: Question Five The management of a supermarket wants to adopt a new promotional policy of giving free…

A: 3. The probability of selecting a customer whose expenditure is differe than the population mean…

Q: If x and y are independent random variable with E(xy)= 20 then the correlation coefficient is

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Q: X1, X2, and X3 all have a normal distribution with mean 1 and variance 1 AND they are all…

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Q: 3. If e is a point estimator of the parameter 0, with E(@) = 0, then e is a(an) ( A. biased…

A: # Point estimator of theta is thera^  such that E(theta^)=theta  which means theta^ is called ??

Q: Then the value of the variance of X+Y is:

A: Variance of X + Y can be calculated as V(X + Y) = V(X) + V(Y) + 2Cov(X, Y)

Q: QUESTION 2 TWO MEANS A researcher wishes to determine whether people with high blood pressure can…

A: State the hypotheses. That is, there is no evidence to conclude that those who followed the diet…

Q: Amphibian populations are in decline worldwide due to the increasing prevalence of ranavirus…

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Q: R Example 17-9. If T, and T2 be two unbiased estimators of y(0) with variances 0,², 0,2 and…

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Q: Example 17-20. A random sample x1, x2, ..., X, is taken from a normal population with mean zero and…

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Q: 1.9.18. Find the mean and the variance of the distribution that has the cdf x <0 0 <x < 2 F(x) = < 2…

A: Given that, the cumulative density function is Fx=0                x&lt;0x8…

Q: Suppose you fit a simple Poisson model such that In A = XB where B = 1.9. What would the variance be…

A: Given data

Q: QUESTION SIX a. Over a long period of time, at the New York University canteen, it has been found…

A: a.  Let  'p' be the proportion of people eating vegetarian meals. p1= proportion of people eating…

Q: QUESTION IV [6] A courier service company has found that their delivery time of parcels to clients…

A: Given that, mean = μ = 30 standard deviation = σ=variance= 25 = 5

Q: Suppose these measurements as random variables, where X has the mean of 1 and standard deviation of…

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Q: a. Suppose X and Y are independent, X has mean 5 and variance 7, Y has mean -3 and variance 8.…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING PARTS

Q: QUESTION 5 A random sample of size n = 25 is drawn from a normal population with a variance of 16,…

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Q: QUESTION 14 An investor has decided to form a portfolio by putting 45% of his money into Google's…

A: The given statistics for the two stocks include μG=12%μA=20%σG=0.10σA=0.20 And the proportion, x,…

Q: In many problems we interested in estimation of the population mean. Let X1,., X10 be a random…

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Q: If X is a Poisson Variable such that P(X - 2) = 9 %3D P(X= 4 +90 P(X=6). Find the mean, variance and…

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Q: Example 9-30. The daily consumption of milk in a city, in excess of 20,000 itres, is 1 approrimately…

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Q: Given the following time series Y;: Y; = 1.5 + Y;-1 +& (a) Examine the stationarity of Y. (b) Apply…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.