Question

Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probability 0 .05 1 .15 2 .35 3 .30 4 .15 ​ Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score less than 3 goals?

Answer 1

0.55 is the probability that Lions will score less than 3 goals.

Explanation:

We are given the following in the question:

Number of goals(x): 0 1 2 3 4

Probability: 0.05 0.15 0.35 0.30 0.25

We have to find the probability that Lions will score less than 3 goals.

`P(X<x) = \displaystyle\sum_(X=0)^(X=x-1)P(x_i)\\\\P(x<3)=P(x=0)+P(x=1)+P(x=2)\\P(x<3)=0.05 + 0.15 + 0.35=0.55`

0.55 is the probability that Lions will score less than 3 goals.