About 26% of movies coming out of Hollywood are comedies. Warner Bros has been the lead studio for about 13% of recent movies, and about 3% of recent movies are comedies from Warner Bros. Let C denote the event a movie is a comedy and W denote the event a movie is produced by Warner Bros. Probabilities based on data from HollywoodMovies. (a) Write probability expressions for each of the three facts given in the first sentence of the exercise. PC)- P(C and W)- Answer 1: exact number, no tolerance Answer 2: exact number, no tolerance Answer *3: exact number, no tolerance (b) What is the probability that a movie is either a comedy or produced by Warner Bros?

"About 26% of movies coming out of Hollywood are comedies. Warner Bros has been the lead studio for about 13% of recent movies, and about 3% of recent movies are comedies from Warner Bros."

Events

C: comedies

W: Warner Bros movie

a) Probability of comedies P(C)=0.26

Probability of being a Warner movie P(W)=0.13

Probability of being a Warner comedy P(W&C)=0.03

b) What is the probability that a movie is either a comedy or produced by Warner Bros?

[tex]P(C\,or\,W)=P(C)+P(W)-P(W\&C)\\\\P(C\,or\,W)=0.26+0.13-0.03=0.36[/tex]

The probability that a movie is either a comedy or produced by Warner Bros is P=0.36.

Busiyijide Busiyijide · Answer 2 · 2020-03-21T04:52:11+01:00

Answer:

Step-by-step explanation:

Given,

About 26% of the movies coming out of Hollywood are comedies.

Warner Bros has been the lead studio for about 13% of recent movies.

3%™of recent movies are comedies from Warner Bros.

P (C) = 0.26

P (W) =0.13

P (C and W) = 0.03

Probability that a movie is either a comedy or produced by Warner Bros:

P ( C or W) = P (C) + P (W) - P (C and W)

P ( C or W) = 0.26 + 0.13 - 0.03

P ( C or W) = 0.360

Probability that a Warner Bros movie is a comedy:

P (C | W) = P ( C and W)/ P(W)

= 0.03/0.13

= 0.231

Probability that a comedy has Warner Bros as its producer:

P ( W | C) = P ( C and W)/ P(C)

= 0.03/0.26

= 0.115