Answer:
So, the probability is P(X<3)=0.55.
Step-by-step explanation:
We have the probability distribution for the number of goals the Lions soccer team makes per game. We have:
[tex]P(0)=0.05\\\\P(1)=0.15\\\\P(2)=0.35\\\\P(3)=0.30\\\\P(4)=0.15\\[/tex]
We calculate the the probability that in a given game the Lions will score less than 3 goals.
[tex]P(X<3)=P(0)+P(1)+P(2)\\\\P(X<3)=0.05+0.15+0.35\\\\P(X<3)=0.55\\\\[/tex]
So, the probability is P(X<3)=0.55.
