(a) Copy onto your answer paper and complete the above table. (b) Consider the experiment in which one person is randomly selected from this group. Let event A be the event "the person chosen preferred Movie 2" and event B be the event "the person chosen is Male". (a) Calculate the probability P(AnB) . Determine whether or not events A and B are independent, giving a clear numerical reason for your answer. (B)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A group of 1000 movie-goers were asked to watch 3 movies , Movie 1, Movie 2
and Movie 3, then were asked to pick their preferred movie. Some of the data
collected is displayed in the table below.
(i)
Preferred
Movie 1
Movie 2
Movie 3
Total
movie:
Female
224
126
Male
300
62
470
Total
332
1000
(a)
Copy onto your answer paper and complete the above table.
(b)
Consider the experiment in which one person is randomly selected from this
group. Let event A be the event "the person chosen preferred Movie 2" and
event B be the event “the person chosen is Male".
(a) Calculate the probability P(AnB).
(B) Determine whether or not events A and B are independent, giving a
clear numerical reason for your answer.
Transcribed Image Text:A group of 1000 movie-goers were asked to watch 3 movies , Movie 1, Movie 2 and Movie 3, then were asked to pick their preferred movie. Some of the data collected is displayed in the table below. (i) Preferred Movie 1 Movie 2 Movie 3 Total movie: Female 224 126 Male 300 62 470 Total 332 1000 (a) Copy onto your answer paper and complete the above table. (b) Consider the experiment in which one person is randomly selected from this group. Let event A be the event "the person chosen preferred Movie 2" and event B be the event “the person chosen is Male". (a) Calculate the probability P(AnB). (B) Determine whether or not events A and B are independent, giving a clear numerical reason for your answer.
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