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Chapter 4: Q.16 (page 283)

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

Short Answer

Expert verified

The probability that Javier volunteers for less than three events each month is :
P(X<3)=0.20

Step by step solution

01

Step 1 : Given Information

Javier volunteers in community events. He only attends five events per month. He attends exactly five activities 35% of the time, four events25% 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.

02

Calculation & Explanation

The probability that Javier attends less than three events in a month is the probability that Xtakes a value less than three, that is, Xtakes a value of0or1or2in the table produced using the information provided. The probabilities may be combined using the addition rule of probabilities since the events ofXtaking these values are mutually exclusive. So,

P(X<3)=P(0)+P(1)+P(2)=0.05+0.05+0.10=0.20

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