Javier volunteers in community events each month. He does not do more than five

Question

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 20% of the time, two events 10% of the time, one event 5% of the time, and no events 5% of the time.

Define the random variable X.

What values does x take on?

Construct a PDF table.

Find the probability that Javier volunteers for less than three events each month. P(x < 3) = _______

Find the probability that Javier volunteers for at least one event each month. P(x > 0) = _______

Explanation / Answer

A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon.

X take on the values events 0, 1 ,2 , 3 , 4 , 5

P(X < 3) = 0.2+ 0.05+0.05 = 0.3

P(X > 0) = 0.05 + 0.2 + 0.2 + 0.25 + 0.35 = 0.95

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