The probability that a movie chosen at random is a thriller or a comedy is 42%
Further explanation
The probability of an event is defined as the possibility of an event occurring against sample space.
Let us tackle the problem.
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In a discrete random variable , the sum of all the probability of distributions must equal to 1. The minimum value of probability is 0 and the maximum value of probability is 1.
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The probability distribution table describes Mariah's movie collection:
[tex]\left[\begin{array}{cccccc}X|&Thriller&Drama&Comedy&Action&ScienceFiction\\P|&0.14&0.26&0.28&0.12&0.2\end{array}\right][/tex]
0.14 + 0.26 + 0.28 + 0.12 + 0.2 = 1 → Valid Probability Distribution Table
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The probability that a movie chosen at random is a thriller P(T) :
[tex]P(T) = 0.14 = 14 \%[/tex]
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The probability that a movie chosen at random is a comedy P(C) :
[tex]P(C) = 0.28 = 28 \%[/tex]
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The probability that a movie chosen at random is a thriller or a comedy is :
[tex]P(T \cup C) = P(T) + P(C)[/tex]
[tex]P(T \cup C) = 14 \% + 28 \%[/tex]
[tex]P(T \cup C) = 42 \%[/tex]
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Learn more
- Different Birthdays : https://brainly.com/question/7567074
- Dependent or Independent Events : https://brainly.com/question/12029535
- Mutually exclusive : https://brainly.com/question/3464581
Answer details
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die
