In an event, 1500 fans of SVT gathered to show their support for the group. 450 of them are from NCR, 650 are from Luzon and 400 are from VisMin. During the registration for the event they were asked if they are watching Gose or not. This is the summary of the survey Watching Gose? Region NCR Luzon VizMin Yes 350 575 350 No 100 75 50

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VII.
In an event, 1500 fans of SVT gathered to show their support
for the group. 450 of them are from NCR, 650 are from Luzon and 400 are from
VisMin. During the registration for the event they were asked if they are watching
Gose or not. This is the summary of the survey
Region
Luzon
Watching Gose?
NCR
VizMin
Yes
350
575
350
No
100
75
50
(a) What is the relative frequency that a randomly selected fan is from NCR and
watches Gose?
(b) What is the relative frequency that a fan is watching Gose given that the fan
is from Vizmin?
VIII. Two distinguishable dice are rolled.
1.
What is the probability that the sum of the upturned faces is 7?
2.
Are the events that the sum of upturned faces is 7 and getting at
least one even upturned faces independent? Justify.
3
What is the probability that the sum of the upturned faces is 7
given that there is at least one odd upturned face?
IX.
In a lecture class, there are students in which 35% of them lives in
Luzon, 40% lives in Visayas while the rest lives in Mindanao. They were all asked
if they will go home during the reading break. Of those who live in Luzon, 30%
answered no. Of those who live in Visayas, 75% answered they want to go home
during vacation and half of those from Mindanao prefer to go home, as well. What
is the probability that a randomly selected student is from Luzon, given that the
student will go home during vacation?
Transcribed Image Text:VII. In an event, 1500 fans of SVT gathered to show their support for the group. 450 of them are from NCR, 650 are from Luzon and 400 are from VisMin. During the registration for the event they were asked if they are watching Gose or not. This is the summary of the survey Region Luzon Watching Gose? NCR VizMin Yes 350 575 350 No 100 75 50 (a) What is the relative frequency that a randomly selected fan is from NCR and watches Gose? (b) What is the relative frequency that a fan is watching Gose given that the fan is from Vizmin? VIII. Two distinguishable dice are rolled. 1. What is the probability that the sum of the upturned faces is 7? 2. Are the events that the sum of upturned faces is 7 and getting at least one even upturned faces independent? Justify. 3 What is the probability that the sum of the upturned faces is 7 given that there is at least one odd upturned face? IX. In a lecture class, there are students in which 35% of them lives in Luzon, 40% lives in Visayas while the rest lives in Mindanao. They were all asked if they will go home during the reading break. Of those who live in Luzon, 30% answered no. Of those who live in Visayas, 75% answered they want to go home during vacation and half of those from Mindanao prefer to go home, as well. What is the probability that a randomly selected student is from Luzon, given that the student will go home during vacation?
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