a random variable x has the following probability distribution,
Find K
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0
Answer:
Sum of all probabilities must be equal to 1
So we get K+2K+2K+3K+K
2
+2K
2
+7K
2
+K=1
⇒10K
2
+9K=1
⇒K=−1,
10
1
But probability cannot be negative , therefore the value of K=
10
1
The mean is 1.K+2.2K+3.2K+4.3K+5K
2
+6.2K
2
+7.7K
2
+7K
=30K+66K
2
=3+0.66=3.66
P(0<x<5)=P(x=1)+P(x=2)+P(x=3)+P(x=4)=K+2K+2K+3K=8K=0.8
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