In a survey of 1000 social media account holders, the following question was asked: how many social media accounts do you have? The results are summarized below:

Question

In a survey of 1000 social media account holders, the following question was asked: how many social media accounts do you have? The results are summarized below:

Answer 1-2 3-4 5 or more
Respondents 650 200 150

b) What is the probability that a participant in the survey selected at random answered that they had three or four accounts?

What I did for the previous part (part a where it asked for the empirical probability distribution) :
P (S1)= 650/1000 = 0.65
P(S2)= 200/1000=0.20
P(S3) = 150/1000=0.15

Is it just 0.20 since it is asking for the random probability for 3 or 4 accounts?

Answer 1

To be more clear with the table, the 1-2 belongs to 650, 3-4 to 200, and 5 or more to 150.

Answer 2

EXE you're messed up in the head

Answer 3

Yes, you are correct. In this case, the probability that a participant in the survey selected at random answered that they had three or four accounts would be equal to P(S2) which is 0.20. Since the data provided shows that out of the 1000 participants, 200 of them answered that they had three or four accounts, the probability is calculated by dividing this count by the total number of participants in the survey.