Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is x 0 1 2 3 4 pX(x) 0.1 0.2 0.3 0.25 0.15 Sixty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty. (a) What is P(X = 4, Y = 2)? [Hint: This probability equals P(Y = 2|X = 4) · P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty.] (Round your answer to four decimal places.) P(X = 4, Y = 2) = (b) Calculate P(X = Y). (Round your answer to four decimal places.) P(X = Y) = (c) Determine the marginal pmf of Y. (Round your answers to four decimal places.) y 0 1 2 3 4 pY(y)
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.
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is
| x | 0 | 1 | 2 | 3 | 4 |
| pX(x) | 0.1 | 0.2 | 0.3 | 0.25 | 0.15 |
Sixty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.
P(X = 4, Y = 2) =
(b) Calculate P(X = Y). (Round your answer to four decimal places.)
P(X = Y) =
| y | 0 | 1 | 2 | 3 | 4 |
| pY(y) |
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