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Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time, three events 15% of the time, two events 10% of the time, one event 10% of the time, and no events 5% of the time. Find the probability that Javier volunteers for less than three events each month. (Enter an exact number as an integer, fraction, or decimal.) P(x < 3)

1 Answer

3 votes

Answer:

0.25 or 25% or 1/4

Explanation:

The probability that Javier volunteers for less than three events is the probability that he volunteers for exactly zero, one, or two events:


P(x<3) = P(x=0)+P(x=1)+P(x=2)\\P(x<3) = 0.05+0.10+0.10\\P(x<3) = 0.25 = 25\%

Therefore, the probability that he volunteers for less than three events is 0.25 or 25%.

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