Let x be a continuous random variable with density function s (4) = { * 2²e-bz for x > 0 0, elsewhere where b > 0. Calculate the mode of X and

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A: Solution: From the given information, the probability density function of X is

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A: f(x) = k 3x2   , -2⩽x⩽2  0          ,   otherwisef(x) = k X -3x2   , -2⩽x⩽2  k X 3x2          ,…

Q: Let X be a continuous random variable where the density function is given by: (1x) 0 if-3<x<3…

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Q: Let X have the density function x >0, e f(x) = 0, Otherwise. Then the expected value of 3

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A: Introduction: Exponential Distribution:  The exponential distribution is also called a waiting…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.