# The average production cost for major movies is 61 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)For a single randomly selected movie, find the probability that this movie's production cost is between 62 and 66 million dollars.

Question
32 views

The average production cost for major movies is 61 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible.

1. What is the distribution of XX? XX ~ N(,)
2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
3. For a single randomly selected movie, find the probability that this movie's production cost is between 62 and 66 million dollars.
check_circle

Step 1
1. Distribution of X:

For a normal distribution, the distribution of X is N(µ,σ2).

Here, µ=61 and σ=21.

Thus, the distribution of X is obtained as N(61,441), from the below calculations.

Step 2
1. Distribution of X-bar:

The distribution of X-bar is obtained as N(61,5.09), fro...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in