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A random variable X has the follwing ...

A random variable X has the follwing probability distribution:

Find k.

Text Solution

Verified by Experts

Since P(x) is the probability distribution of x,
`sum_(x=0)^(6) P(x) = 1`
`therefore P(0) +P(1)+P(2) +P(3) +P(4) +P(5) +P(6)=1`
`therefore k + 3k +5k +7k +9k + 11k + 13k = 1`
`therefore 49k = 1 " "therefore k = (1)/(49)`
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