Answer:
Option C, 0.15
Step-by-step explanation:
From the given table probability for x = 1
[tex]p_{(1)}[/tex] = 0.30
for x = 2
[tex]p_{(2)}[/tex] = 0.40
for x = 3
[tex]p_{(3)}[/tex] = 0.15
and for x = 4
[tex]p_{(4)}[/tex] = x
As we know that the sum of probabilities of alll events will be 1.
so [tex]p_{(1)}[/tex] + [tex]p_{(2)}[/tex] +[tex]p_{(3)}[/tex] + [tex]p_{(4)}[/tex] = 1
0.30 + 0.40 + 0.15 + x = 1 ⇒ 0.85 + x = 1
x = 1 - 0.85 = 0.15
Option C, 0.15 is the answer.
