For a triangular distributed function with minimum value= 0, maximum value = 6, and mode = 3 of the random variable x, answer the following questions. %3D 1) Write the formula for the probability density function f(x). 2) Draw f(x). 3) Write the cumulative F(x). 4) Draw F(x). 5) Compute the mean of x. 6) compute the variance of x. 7) Compute f(4). 8) compute F(x <= 4). 9) Find the formula of the random variate. 10) If U = 0.8, what is the value of the random variate?

For a triangular distributed function with minimum value= 0, maximum value = 6, and mode = 3 of the random variable x, answer the following questions. %3D 1) Write the formula for the probability density function f(x). 2) Draw f(x). 3) Write the cumulative F(x). 4) Draw F(x). 5) Compute the mean of x. 6) compute the variance of x. 7) Compute f(4). 8) compute F(x <= 4). 9) Find the formula of the random variate. 10) If U = 0.8, what is the value of the random variate?

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Description: For a triangular distributed function with minimumvalue= 0, maximum value = 6, and mode = 3 of therandom variable x, answer the following questions.%3D1) Write the formula for the probability density functionf(x).2) Draw f(x).3)Write the cumulative

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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.

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