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QUESTION ONErandom variable . has probability density functionfor 3<1<4What IS thc valuc of. I?What is the cumulative distribution function ol . (ii) What is ...

Question

QUESTION ONErandom variable . has probability density functionfor 3<1<4What IS thc valuc of. I?What is the cumulative distribution function ol . (ii) What is the expected value of: ? (iv) What is the standurd deviation of ?What is thc mcdian of : ? (i) What is the upper quaruile of

QUESTION ONE random variable . has probability density function for 3<1<4 What IS thc valuc of. I? What is the cumulative distribution function ol . (ii) What is the expected value of: ? (iv) What is the standurd deviation of ? What is thc mcdian of : ? (i) What is the upper quaruile of



Answers

Identify the probability density function. Then find the mean, variance, and standard deviation without integrating. $$ f(x)=0.2,[0,5] $$

The expectation of X. He calls the integral of X. And it's probability density function. So there's vehicles. The integral from 0 to 1 X times five hearts Times after a power of three house You're seeing equals the integral from 0 to 1. five House time X to the power of our house Jake Owes 5/7. The expectation X squared Nichols. The integral from 0 to 1, the X squared times. It's probability density function, Which we call the integral from 0 to 1. five House Times Extra Power of Southern House, Which she calls five or 9. And the vibrance equals the expectation of X squared miners. The square of the expectation elects which equals 20 Over for Hanbury and 41. The standard deviation is just the square root of the variance, Chico's Two times the square root of 5/21.


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