# probability

t the discrete random variable X be uniform on {0,1,2} and let the discrete random variable Y be uniform on {3,4}. Assume that X and Y are independent. Find the PMF of X+Y using convolution. Determine the values of the constants a, b, c, and d that appear in the following specification of the PMF.

pX+Y(z)=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪a,b,c,d,0,z=3,z=4,z=5,z=6,otherwise.

Let the random variable X be uniform on [0,2] and the random variable Y be uniform on [3,4]. (Note that in this case, X and Y are continuous random variables.) Assume that X and Y are independent. Let Z=X+Y. Find the PDF of Z using convolution. The following figure shows a plot of this PDF. Determine the values of a, b, c, d, and e.

Let Xand Y be two independent random variables with the PDFs shown below. below.

fX(x)={5,0,if 0≤x≤0.1 or 0.9≤x≤1,otherwise.
fY(y)={1,0,if 0≤y≤1,otherwise.
Let W=X+Y. The following figure shows a plot of the PDF of W. Determine the values of a, b, c, d, e, f, and g.

1. 👍 0
2. 👎 0
3. 👁 2,306
1. Let the random variable X be uniform on [0,2] and the random variable Y be uniform on [3,4]
Determine the values of a, b, c, d, and e

b=3, c=4, d=5, e=6

Let W=X+Y. The following figure shows a plot of the PDF of W. Determine the values of a, b, c, d, e, f, and g.

a=1, b=0.5, c=0.1

1. 👍 2
2. 👎 1
2. Hey Im trying to work out these questions, could you tell me how you obtained the aswers you got, to give me some light please for working out the others.

1. 👍 0
2. 👎 0
3. a=0.5 , b=3 ,c=4 ...

1. 👍 4
2. 👎 0
a=1/6
b=1/3
c=1/3
d=1/6

1. 👍 6
2. 👎 0
5. fX(x)={5,0,if 0≤x≤0.1 or 0.9≤x≤1,otherwise.
fY(y)={1,0,if 0≤y≤1,otherwise.
Let W=X+Y. The following figure shows a plot of the PDF of W. Determine the values of a, b, c, d, e, f, and g.

a= 1
b= 0.5
c= 0.1
d= 0.9
e= 1.1
f= 1.9
g= 2

1. 👍 0
2. 👎 0
6. Let the random variable X be uniform on [0,2] and the random variable Y be uniform on [3,4]
Determine the values of a, b, c, d, and e

a=0.5 b=3, c=4, d=5, e=6

1. 👍 5
2. 👎 0

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