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posted by  Airbender on 11/5/2009 2:53:41 AM  |  status: Closed  |  Earned Karma: 60

probability help

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N/A N/A N/A N/A 11/26/2009 at 12:00:00 PM
Question Details:
Using discrete random variables solve follwoing
The discrete random variable K has following PMF:
              {b   k=0
pk(k)=   {2b   k=1
               { 3b k = 2
               { 0 otherwise
a) what is the value of b?
b) determie the values of i) P[K<2]   ii) P[K≤ 2] amd iii) P[0<K<2]
c)determine CDF of K

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Guru
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posted by Orca on 11/5/2009 12:49:31 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
(a)ΣP(K)=1   to be a pmf
Hence
P(0)+P(1)+P(2)=1
b+2b+3b=1
b=1/6
(b)P(K<2)=P(0)+P(1)=1/2;   P(K<=2)=P(K<2)+P(K=2)=1/2
(c)CDF of K
F(k)=P(Kx)=
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