Answer:
c) 0.1
P(5) = 0.1
Step-by-step explanation:
Given data
x : 0 1 2 3 4 5
p(x): 0.2 0.1 0.3 0.1 0.2 ?
Given data is discrete distribution
if the numbers [tex]P(x_{i} )[/tex] i = 1,2,3..... satisfies the two conditions
i) [tex]P(x_{i} )\geq 0[/tex] for all values of 'i'
ii) ∑P(x) = 1
Given data
i) [tex]P(x_{i} )\geq 0[/tex] for all values of 'i'
ii) ∑P(x) = 1
P(x=1) + P(x=2) +P(x=3) +P(x=4)+P(x=5) =1
⇒ 0.2 + 0.1 + 0.3 +0.1 +0.2 + p(X=5) = 1
⇒ 0.9 +p(5) =1
⇒ p(5) = 1 -0.9
⇒ P(5) = 0.1
