Answer:
) 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).