he pmf of a discrete random variable X is as follows: X -1 0 1 2 f(x) 1/10 2/10 5/10 2/10   Use this pmf to evaluate the following: mean of X variance of X

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A: From the given information, the probability distribution is, X 0 1 2 3 4 P(X) 0.05 0.1 0.5 0.3…

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

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

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Q: (a) p IX – 31 2 2 (b) p IX – 31 2 1

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Q: Which of the following assumptions cannot be violated if you want to conduct an independent-samples…

A: We have to select the assumption which cannot be violated.

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A: Dependent Variable Independent variable wage experience The parabolic regression model will be…

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Q: Adding an irrelevant variable to a model generally O decreases the variances O increases the…

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Q: Single Factor ANOVA focuses on a comparison of: O a single factor mean two or more population…

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Q: Let X, ~ N(H, 9) and suppose we are going to observe X = {X1, X2, X3}. We are going to estimate u…

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Q: Can a binomial random variable X have a mean = 7 and the variance 11. Why or why not?

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

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Q: Find " E(2X-1)" Find the variance of X and Var(2x-1)

A: Here total outcomes by rolling 2 dice =6×6 = 36 Here X =  difference of the number on the face of…

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Q: opose X is a random variable with mean 5 and variance 2. Then, E[3X - 3] is Select] and Var[3X - 3]…

A: Given that Mean=E(X)=5, Variance=Var(X)=2

Q: df for independent samples t-test:

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

Q: The scatter chart below displays the residuals verses the dependent variable, x. Which of the…

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Q: Let Y be a random variable with mean zero and variance o². What do we know about the quantity 1 (Yi…

A: Given that,  Y = 1n∑i=1nYi  Now,  1n∑i=1nYi - Y = 1n∑i=1nYi - 1n×nY = Y - Y = 0

Q: Q2// On a certain day an executive received fifteen telephone calls. The distribution of the time…

A: Solution: Let X represent the time spent on a call (in minutes)

Q: mean of the probability distribution on the random variable

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Q: A research study compares the mean weight for a sample of n = 36 participants before they begin a…

A: Correct answer is Dependent samples t-test

Q: Correlation Coefficient - sample Let X₁, X2, and X3 be uncorrelated random variables with common…

A: Given Correlation (X1,X2)=0 and correlation (X2,X3)=0  V(X1)=V(X2)=V(X3)=σ2

Q: Ch: Estimating Random Variables Q: The minimum of two independent exponential random variables with…

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Q: Soalan/ Question 2: Given a normally distributed population with a mean of 75 and a variance of 625,…

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Q: What is the formula for the variance? o S? =E (x - X)? / n o S? = E (X - x)? /n o S2 = E (x - X) / n…

A: Variance is one of the measures of dispersion.

Q: Random variable X has cost function 3X + 600. The expected value of X is 20 and the variance of X is…

A: Given: Cost function = 3X + 600 E[X] = 20 V[X] = 4 Formula Used: E(aX+b) = aE[X] + b V(aX + b) = a2…

Q: var(a+by) = b²o,

A:

Q: When determining the pooled population variance estimate for a t test for independent means with…

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Q: Expected values and Binomial distribution 9. A Random Variable X can take only two values, 1 and 2;…

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A: Binomial distribution has used to calculate the mean and variance.

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Q: Assume x is normally distributed with mean 1 and  variance 2 .what is prob (X2) ? 1 0.2090 2…

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Q: Excel Inferences of population variance(s): Buyer’s Digest Case Buyer’s Digest rates thermostats…

A: Solution:  Given information:  n=10 Sample size σ2= 0.5 Population variance

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Q: Group Mean Variance df n 1 10000   1000 30 2 9000   800 30 3 8000   500 30 4 10500   700 30 Find the…

A: Statistics is scient of counting. To count anything we need to data. We collect the data in so many…