Let X be a random variable with probability density function f (x) = } 0, otherwise a. What is the value of c? b. What is the cumulative distribution function of X?

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A:

Q: 10. Let F(x) - cumulative distribution function of the random variable . Find the cumulative…

A: Given that, F(x) is the cumulative distribution function of the random variable ξ.

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A: Given that the random variables and  have joint probability density function :

Q: Let X be a random variable with the probability density function. f(x) : 20 for x = 1,2,3, 4, ..., 0…

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Q: 4.ry 0<r< 1,0 < y <1 f(r, y) = elsewhere Then P(0 < X < 0.5,0 < Y < 0.5) = (a) 1/16

A: Here, we have a joint pdf,  f(x,y)=4xy  , 0&lt;x&lt;1, 0&lt;y&lt;10     ,  otherwise

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A:

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A: Here given that battery is known to charge in more than 2 hours then  P(2&lt;X&lt;4) =?

Q: Find the mean and variance of the uniform probability distribution given by f(x)= 1/n for x = 1, 2,…

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Q: Let X be a random variable with probability density function   What is the probability P (X> 2)

A: Here we have give cumulative distribution function for F(x) = 1 - e^-2x

Q: -0.3 0.25 -0.2- 0.15 -0.1- 0.05 3 4 5. 9. 7 N-

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Q: The probability for a continuous variable that is normally distributed is equivalent to what?

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A: Solution

Q: 3. Which exponential probability density has mean u = ?

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A: y f(y) y f(y) 1 0.1 0.1 2 0.1 0.2 3 0.1 0.3 4 0.3 1.2 5 0.3 1.5 6 0.3 1.8 Total   5.1

Q: probability density function of a random variable X is x2 for -1sxS1, and O for any other value of x…

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