A movie critic rates movies on a scale of 4 stars (excellent) to 1 star (worthless). A summary of her ratings for 20 movies is shown in the table.

Question

The table titled movie ratings show 3 movies with 4 stars, 7 movies with 3 stars, 6 movies with 2 stars, 4 movies with 1 star.

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?

A.
35

B.
27

C.
47

D.
50

Answer 1

To predict the number of movies the critic gives exactly 3 stars out of 100 total movies, we can use the current distribution of ratings to create a proportion based on the 20 movies she has already rated.

From the given table:

• Total movies rated = 20
• Number of movies rated 3 stars = 7

To find the proportion of movies rated 3 stars, we calculate:

\[ \text{Proportion of 3-star ratings} = \frac{7}{20} = 0.35 \]

Now, we can apply this proportion to the total of 100 movies:

\[ \text{Expected number of 3-star movies} = 100 \times 0.35 = 35 \]

Therefore, the best prediction for the number of movies she gives exactly 3 stars is A. 35.