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?

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Answer:

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

Step-by-step 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.

[tex]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[/tex]

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

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