ρ(x) given by the following function. Since the scale is 3/46 to turn it into a probability density function, find the expected value of a random variable with this density.

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A: In this context, the probability density function of X is given by, Fx=3x2,if 0≤x≤10,    otherwise

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A: It is an important part of statistics. It is widely used.

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Q: please answer when you have to calculate P(x>4) is it is it not 1- P(x 0 otherwise. For what value…

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Q: Let X be physical distance, measured in inches, from its anchoring point where a bicycle spoke will…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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Q: x³y, if 0<x<2 and 0< y<1 f(x,y) = 0, otherwise

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A: The probability density function is f(x) = 1/2 over the interval [1, 3].

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Q: The joint probability density function of the random variables x and y is as follows?

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…