Question

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

Short answer

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

Step-by-step solution

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 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.

Calculation & Explanation

The probability that Javier attends less than three events in a month is the probability that $X$takes a value less than three, that is, $X$takes a value of$0or1or2$in the table produced using the information provided. The probabilities may be combined using the addition rule of probabilities since the events of$X$taking these values are mutually exclusive. So,

$\mathrm{P}(\mathrm{X}<3)=\mathrm{P}\left(0\right)+\mathrm{P}\left(1\right)+\mathrm{P}\left(2\right)=0.05+0.05+0.10=0.20$