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.

a. P(x<3)= ▭
b. Find the probability that Javier volunteers for at least one event each month.▭

Answer 1

Javier volunteers for fewer than three events each month with a probability of 20%, and he volunteers for at least one event each month with a probability of 95%.

Step-by-step explanation:

To calculate the probability that Javier volunteers for fewer than three events each month, P(x < 3), we need to add up the probabilities of volunteering for two events, one event, and no events. Therefore, P(x < 3) = P(x = 2) + P(x = 1) + P(x = 0) = 10% + 5% + 5% = 20%.

To find the probability that Javier volunteers for at least one event each month, we can subtract the probability of not volunteering at all from 1. Hence, P(x > 0) = 1 - P(x = 0) = 1 - 5% = 95%.