Question

At a certain conference, three sessions were held at the same time period. The number of male and female

attendees at the three sessions was recorded, and the results are summarized below:
Session 1
Male 12
Female 8
Session 2
Male 18
Female 9
Session 3
Male 17
Female 5
a.) How many men attended the sessions?
b.) How many people attended Session 3?

c.) What is the sample size?
d.) If a random person is selected, what is the probability (to four decimal places) that the person is male?
e.) If a random person is selected, what is the probability (to four decimal places) that the person attended Session
3?
f.) If a random person is selected, what is the probability (to four decimal places) that the person is male and
attended Session 3?

Answer 1

a) The total number of men who attended the sessions is the sum of the male attendees in each session:

12 + 18 + 17 = 47 men

b) The total number of people who attended Session 3 is the sum of male and female attendees in Session 3:

17 + 5 = 22 people

c) The sample size is the total number of attendees across all sessions:

12 + 8 + 18 + 9 + 17 + 5 = 69 people

d) To calculate the probability that a random person is male, we divide the number of men by the total sample size:

P(male) = 47 / 69 ≈ 0.6812 (rounded to four decimal places)

e) To calculate the probability that a random person attended Session 3, we divide the number of people who attended Session 3 by the total sample size:

P(attended Session 3) = 22 / 69 ≈ 0.3188 (rounded to four decimal places)

f) To calculate the probability that a random person is male and attended Session 3, we divide the number of men who attended Session 3 by the total sample size:

P(male and attended Session 3) = 17 / 69 ≈ 0.2464 (rounded to four decimal places)