2:30 y T gB t A tON 3 all 55%2/16/2022Unanswered • 1 attempt left • Due Feb 16, 11:59 PMLiked movieDid not like movieLiked bookaDid not like bookd.Suppose 47% of people like a movie, 83% of peoplelike the book the movie is based on, and 55% ofpeople who liked the book did not like the movie.Fill in the table with the joint probabilities.a =b =C =d =SubmitII

Answered: Liked movie Did not like movie Liked…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

2:30 y T gB t A t
ON 3 all 55%
2/16/2022
Unanswered • 1 attempt left • Due Feb 16, 11:59 PM
Liked movie
Did not like movie
Liked book
a
Did not like book
d.
Suppose 47% of people like a movie, 83% of people
like the book the movie is based on, and 55% of
people who liked the book did not like the movie.
Fill in the table with the joint probabilities.
a =
b =
C =
d =
Submit
II

Expert Solution

Step 1

Solution:

Given information:

47% people like movie.

a+c = 0.47

83% people like the book the movie.

a+ b=0.83

and 55% of people who liked the book did not like the movie that is P( Did not liked the movie| Like the book) = 0.55

To find the percent of people did not like the movie and like the book

$P (D i d n o t l i k e t h e m o v i e | L i k e t h e b o o k) = \frac{P (D i d n o t l i k e t h e m o v i e \cap L i k e t h e b o o k)}{P (L i k e t h e b o o k)} P (D i d n o t l i k e t h e m o v i e \cap L i k e t h e b o o k) = P (D i d n o t l i k e t h e m o v i e | L i k e t h e b o o k) \times P (L i k e t h e b o o k) P (D i d n o t l i k e t h e m o v i e \cap L i k e t h e b o o k) = 0.55 \times 0.83 P (D i d n o t l i k e t h e m o v i e \cap L i k e t h e b o o k) = 0.4565$