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Find the probability that Javier volunteers for at least one event each month.

P(x>0)=_______

Short Answer

Expert verified

The probability that Javier volunteers for at least one event each month.

P(x>0)=0.95

Step by step solution

01

Step 1 : Given Information

At community events, Javier volunteers. He only attends five events per month. He attends exactly five activities 35%of the time, four events 25%of the time, three events 20%of the time, two events 10%of the time, one event5%of the time, and no events 5%of the time.

02

Calculation & Explanation

The probability that Javier attends at least one event every month is the probability that Xtakes the value 1or more, as calculated using the probability table. It is the probability that Xwill take the value 1or2or3or4or5in terms of notation. Probabilities may be calculated since these events are mutually exclusive.

That is P(X>0)is:

P(1)+P(2)+P(3)+P(4)+P(5)=0.05+0.10+0.20+0.25+0.35=0.95

Is also P(X>0)identical to 1-P(X=0). This is because Xtaking a value higher than zero is the inverse of Xtaking a value of0.The probability of an occurrence is equal to the probability of a complementary event multiplied by 1.

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