Fill in the values in the table below to give a legitimate p

Fill in the \"Fill values in the table below to give a legitimate probability distribution for the discrete random variable \"\" , whose possible values are \"\" ,\"\" ,\"\" ,\"\" , and \"\".

value x of X P(X=x)
-1
2
4 0.24
5 0.27
6 0.28

Solution

The sum of all the probabilities of a probability distribution of random variable should be equal to 1. So

P(X=-1)+P(X=2)+P(X=4)+P(X=5)+P(X=6)=1

P(X=-1)+P(X=2)+0.24+0.27+0.28=1

P(X=-1)+P(X=2)=1-0.79=0.21

So P(X=-1)+P(X=2) must be equal to 0.21 for legitimate probability distribution.

 Fill in the values in the table below to give a legitimate probability distribution for the discrete random variable , whose possible values are , , , , and .

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