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:
Male
Female
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?

Make sure to work out each problem not a multiple choice!!

Answer 1

) The number of men who attended the sessions can be obtained by summing up the number of males in each session:

Total number of men = 12 + 18 + 17 = 47

Therefore, 47 men attended the sessions.

b) The number of people who attended Session 3 can be obtained by summing up the number of males and females in Session 3:

Total number of people in Session 3 = 17 (males) + 5 (females) = 22

Therefore, 22 people attended Session 3.

c) The sample size refers to the total number of attendees across all sessions. We can calculate it by summing up the number of males and females in each session:

Sample size = (12 + 8) + (18 + 9) + (17 + 5) = 69

Therefore, the sample size is 69.

d) To calculate the probability that a randomly selected person is male, we need to divide the number of males by the sample size:

Probability of selecting a male = Number of males / Sample size = 47 / 69 ≈ 0.6812

Therefore, the probability that a randomly selected person is male is approximately 0.6812 (rounded to four decimal places).

e) To calculate the probability that a randomly selected person attended Session 3, we need to divide the number of people who attended Session 3 by the sample size:

Probability of attending Session 3 = Number of people in Session 3 / Sample size = 22 / 69 ≈ 0.3188

Therefore, the probability that a randomly selected person attended Session 3 is approximately 0.3188 (rounded to four decimal places).

f) To calculate the probability that a randomly selected person is male and attended Session 3, we need to divide the number of males in Session 3 by the sample size:

Probability of being male and attending Session 3 = Number of males in Session 3 / Sample size = 17 / 69 ≈ 0.2464

Therefore, the probability that a randomly selected person is male and attended Session 3 is approximately 0.2464 (rounded to four decimal places).