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29 Oct 2024, 02:24
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The Marina Auditorium, located in Sriyana, is one of the largest in the town and has a maximum seating capacity of 1,000 people. It hosts live performances in drama, music, and dance. Every Sunday features a concert dance by the town’s leading group, while the rest of the month is reserved for music concerts and dramas.
The concert dance performed on the first day of the previous month was the most acclaimed performance of that month, although the music concerts received poor reviews on at least five days.
The concert dance performed on the first day of the previous month was the most acclaimed performance of that month, although the music concerts received poor reviews on at least five days.
For each of the following statements, select Yes if the question can be answered based on the information in the passage. Otherwise, select No.
| Yes | No | |
| What was the average number of women attendees on days other than those when the concert dance was performed? | ||
| On how many days were the number of female attendees greater than the number of male attendees? | ||
| Was the probability of having a drama on any given day other than Sunday at most 80%? |
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Official Answer
What was the average number of women attendees on days other than those when the concert dance was performed?: Yes
On how many days were the number of female attendees greater than the number of male attendees?: Yes
Was the probability of having a drama on any given day other than Sunday at most 80%?: Yes
29 Oct 2024, 02:24
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Official Solution:
Let us look at the info provided.
(I) Auditorium:
Max capacity - 1000,
Number of events - three(music, dance and art), with concert dance every Sunday.
First day of month was Sunday, so 5 Sundays in the week.
Music was on at least five days.
(II) Seating:
Every day of 30 days, all 1000 seats filled
Men higher on 15 days and women higher on remaining 15 days.
Entire month - Average of women = 600, Average of men = 400
Sundays - Average of women = 700, Average of men = 300
______________________
Question 3:
(a) What was the average number of male attendees on Sundays of last month?
We know the average number is 300. Point 4 of (II) above...YES
(b) For how many days, was the number of female attendees more than the number of male attendees?
We know each were higher for exactly 15 days. Point 2 of (II)...YES
(c) Was the probability of having a drama on any given day other than Sundays at the most 80%?
We are considering 30-5 or 20 days. We are told that music was there at least 5 days...Point (d) of (I).
So, the drama could be there for a maximum of 20 days, which id 80% of 25. Thus, the probability can never be greater than 80...YES
Correct answer:
What was the average number of women attendees on days other than those when the concert dance was performed? "Yes" On how many days were the number of female attendees greater than the number of male attendees? "Yes" Was the probability of having a drama on any given day other than Sunday at most 80%? "Yes"
Bunuel
Let us look at the info provided.
(I) Auditorium:
Max capacity - 1000,
Number of events - three(music, dance and art), with concert dance every Sunday.
First day of month was Sunday, so 5 Sundays in the week.
Music was on at least five days.
(II) Seating:
Every day of 30 days, all 1000 seats filled
Men higher on 15 days and women higher on remaining 15 days.
Entire month - Average of women = 600, Average of men = 400
Sundays - Average of women = 700, Average of men = 300
______________________
Question 3:
(a) What was the average number of male attendees on Sundays of last month?
We know the average number is 300. Point 4 of (II) above...YES
(b) For how many days, was the number of female attendees more than the number of male attendees?
We know each were higher for exactly 15 days. Point 2 of (II)...YES
(c) Was the probability of having a drama on any given day other than Sundays at the most 80%?
We are considering 30-5 or 20 days. We are told that music was there at least 5 days...Point (d) of (I).
So, the drama could be there for a maximum of 20 days, which id 80% of 25. Thus, the probability can never be greater than 80...YES
Correct answer:
What was the average number of women attendees on days other than those when the concert dance was performed? "Yes" On how many days were the number of female attendees greater than the number of male attendees? "Yes" Was the probability of having a drama on any given day other than Sunday at most 80%? "Yes"
