Question

In: Statistics and Probability

Suppose that you like about 75.5% of the movies that you see. Rotten Tomatoes is a...

Suppose that you like about 75.5% of the movies that you see. Rotten Tomatoes is a website which certifies movies as either “fresh” or “rotten”. About 79.2% of movie you like are certified “fresh” on rotten tomatoes, and about 16.5% of movies you do not like are certified “fresh”. A new movie you are thinking about seeing is certified “fresh”. What is the probability that you will like it?

where the answer is a probability, put your answer in percentage form (e.g. 72.4218 not 0.724218) and then round to four decimal places. You do NOT need to include a % sign.

Solutions

Expert Solution

you like about 75.5% of the movies that you see. This is same as the probability that you like any given movie is 0.755

the probability that you do not like any given movie is

About 79.2% of movie you like are certified “fresh” on rotten tomatoes. This is same as the conditional probability that a movie is certified "fresh given that you like the movie is 0.792

about 16.5% of movies you do not like are certified “fresh”. This is same as the conditional probability that a movie is certified "fresh given that you do not like the movie is 0.165

the conditional probability that you will like a new movie given that it is certified “fresh” is

ans: A new movie you are thinking about seeing is certified “fresh”. The probability that you will like it is 93.6676 (%)

orchestra answered 1 year ago
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