Question

The probability distribution for the number of goals the Lions soccer team makes per game is given below.

Number Of Goals 0 1 2 3 4
Probability 0.05 0.15 0.35 0.30 0.15 ​

What is the probability that in a given game the Lions do not score more than 2 goals?
(A) 0.55
(B) 0.95
(C) 1.0
(D) 0.20

Answer 1

The correct answer is:

(A) 0.55

Explanation:

This probability distribution means that we have these following probabilities:

`P(X = 0) = 0.05`

`P(X = 1) = 0.15`

`P(X = 2) = 0.35`

`P(X = 3) = 0.30`

`P(X = 4) = 0.15`

What is the probability that in a given game the Lions do not score more than 2 goals?

This is the following probability.

`P = P(X = 0) + P(X = 1) + P(X = 2)`

`P = 0.05 + 0.15 + 0.35`

`P = 0.55`

The correct answer is:

(A) 0.55