Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 2 0.5 pts javier volunteers in community events each month. he…

Question

question 2
0.5 pts
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.
find the probability that javier volunteers for less than three events each month. ( p(x < 3) )
=______
○ a. ( 0.25 + 0.35 = 0.60 )
○ b. ( 0.25 + 0.20 = 0.45 )
○ c. ( 0.05 + 0.05 + 0.10 = 0.20 )
○ d. ( 0.20 + 0.05 + 0.05 = 0.30 )

Explanation:

Step1: Identify events with less than three events

Less than three events means \(x = 0\), \(x = 1\), \(x = 2\).

Step2: Sum their probabilities

The probability of \(x = 0\) is \(0.05\), of \(x = 1\) is \(0.05\), and of \(x = 2\) is \(0.10\). So \(P(x<3)=0.05 + 0.05+0.10\).

Answer:

C. \(0.05 + 0.05 + 0.10 = 0.20\)