Given the below is a bivariate distribution for the random variables x and y. Economic Scenario Probability of Occurrence Stock Fund (x) Bond Fund (y) Recession 0.10 -40 30 Weak Growth 0.25 5 5 Stable Growth 0.50 15 4 Strong Growth 0.15 30 2   Compute the expected value and the variance of x and y. Develop a probability distribution for x+y. Using the results of part (b), compute E(x+y) and Var(x+y). Compute the covariance and correlation for x and y. Are x and y positively related, negatively related, or unrelated?

Q: Consider the discrete random variable X given in the table below. Calculate the mean, variance, and…

A: X P(X) 6 0.1 0.6 36 3.6 8 0.13 1.04 64 8.32 10 0.14 1.4 100 14 12 0.08 0.96 144 11.52…

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A: Given that  X :      0   1   2   3   4 P(x) : 0.1 0.3 0.3 0.3 0.1

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Q: What I Can Do A. Find the expected value of cach probability masa function below. 1. 2 3 Px) 0.15…

A: As per our guidelines we are suppose to answer only one question A)1)Given data is x 0 1 2 3…

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A: Given that  Probability distribution X 10 11 12 13 14 15 P(X)  18 18 18 28 18 28   We know…

Q: Consider the probability distribution shown below. X 0 1 2 3 4 5 P(X=x) 0.069 0.072 0.198 0.281…

A: X P(X) X.P(X) X2 X2.P(X) 0 0.069 0 0 0 1 0.072 0.072 1 0.072 2 0.198 0.396 4 0.792 3 0.281…

Q: the probability mass function of a discrete random variable X representing the number of bicycles…

A: Formula : Variance = E(X^2) - [E(X)]^2

Q: 3. Let X be a random variable with the following probability distribution: 5 10 15 20 25 X P(X) 0.5…

A: X 5 10 15 20 25 P(X) 0.5 0.30 0.25 0.25 0.15

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A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

Q: 1. The number of condominium units sold per day, along with its corresponding probabilities, is…

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Q: Consider the discrete random variable X given in the table below. Calculate the mean, variance, and…

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

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A: According to policy we supposed to answer first question kindly repost for remaining.

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Q: 12. Given the following discrete probability distribution, P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

A: (a) Obtain the expected value of X. The expected value of X is obtained below as follows : The…

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A: the expected value of X is given by the formula EX=∑ixipi substitute the values…

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A: Solution: Given information: σz= 2   Population standard deviation of z σ y= 4   Population standard…

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A: As per our company guidelines we are suppose to answer only one question1)Given data is  x 1 2 3…

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A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: 1. n = 30 and p = 0-6 2. n = 50 and p = 0.45 3. n = 80 andp= 0.35

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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A: Given: Probability distribution of X: X P(X) 100 0.25 125 0.3 150 0.45 Total 1

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Q: Given below is a bivariate distribution for the random variables x and y.

A: Note:Hi! Thanks for posting the question. Since there are more than three sub-partquestions, we will…

Q: 3. Given the following discrete probability distribution, x P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

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A: The expected value can be calculated as: Therefore, the expected value is 9.320

Q: Consider the following probability distribution. X 1 3 4 6 P(x) 0.02 0.05 0.17 0.35 0.22 0.17 0.02…

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Q: Examine the following probability distribution: 5 10 15 20 25 30 35 40 45 50 P(x) 0.01 0.05 0.14…

A: Since multiple parts are given , first  part is  answered with detailed explanation. Please repost…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.