C. Fox, marketing director for Metro-Goldmine Motion Pictures, believes that the studio’s upcoming release has a 60 percent chance of being a hit, a 25 percent chance of being a moderate success, and a 15 percent chance of being a flop. To test the accuracy of his opinion, T. C. has scheduled two test screenings. After each screening, the audience rates the film on a scale of 1 to 10, 10 being best. From his long experience in the industry, T. C. knows that 60 percent of the time, a hit picture will receive a rating of 7 or higher; 30 percent of the time, it will receive a rating of 4, 5, or 6; and 10 percent of the time, it will receive a rating of 3 or lower. For a moderately successful picture, the respective probabilities are 0.30, 0.45, and 0.25; for a flop, the respective probabilities are 0.15, 0.35, and 0.50. If the first test screening produces a score of 6, what is the probability that the film will be a hit?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
  1. C. Fox, marketing director for Metro-Goldmine Motion Pictures, believes that the studio’s upcoming release has a 60 percent chance of being a hit, a 25 percent chance of being a moderate success, and a 15 percent chance of being a flop. To test the accuracy of his opinion, T. C. has scheduled two test screenings. After each screening, the audience rates the film on a scale of 1 to 10, 10 being best. From his long experience in the industry, T. C. knows that 60 percent of the time, a hit picture will receive a rating of 7 or higher; 30 percent of the time, it will receive a rating of 4, 5, or 6; and 10 percent of the time, it will receive a rating of 3 or lower. For a moderately successful picture, the respective probabilities are 0.30, 0.45, and 0.25; for a flop, the respective probabilities are 0.15, 0.35, and 0.50.

If the first test screening produces a score of 6, what is the probability that the film will be a hit?

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON