Let X be a r.v. has the probability function given by: Find the value of the constant c

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hamza

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2022-05-18

143

Let X be a r.v. has the probability function given by:

5	4	3	2	1	x
0.1	0.3	c	0.3	0.1	(x)p

Find the value of the constant c.

Statistics, Mathematics,

hamza

2022-05-18

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Since
∑〖xP(x)〗=E(X)
Then
(0.1)+2(0.3)+c+4(0.3)+5(0.1)=1
But
∑〖P(x)=1→∴0.1+0.3+c+0.3+0.1=1〗
c=0.2

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