Let X1 ~ N(0,1), X2 ~ N(0,1), and X3 ~ x(n) be mutally independent random variables. Find the probability distribution of (a) X = X1+X2 (b) X? + X3 + X3

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A: X will consider discrete probability distribution if:

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Q: If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and…

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Q: Let X1, X2,..., Xn ~ N(μ, 0²) independent random variables. Find the distribution X+X2+…+Xn X= = n…

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Q: Let X1 ~ N(0, 1), X2 ~ N(0, 1), and X3 ~ x²(n) be mutally independent random variables. Find the…

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Q: Let X1 ~ N (0, 1), X2 ~ N(0,1), and X3 ~ x(n) be mutally independent random variables. Find the…

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A: We know that the total probability is always 1.  So,  k+0.15+0.35+0.15+0.2+0.1=1

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

A: Given Distribution,   X = 0 X = 2 X = 4 Y = 1 0.03 0.02 0.1 Y = 3 0.15 0.2 0.1 Y = 5 0.2…

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Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

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A: Here, X&gt;0 means X=2 and X=4. And Y≤3 means Y=1 and Y=3.

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X=0 X-2…

A: Given,   X=0 X=2 X=4 Y=1 0.03 0.02 0.1 Y=3 0.15 0.2 0.1 Y=5 0.2 0.15 0.05

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Q: (a) What is the probability that X + Y > 1.

A: Exponential distribution is widely used in statistics . It has the unique lack of memory property .

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.