The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 41 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 59 million dollars.

The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 41 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 59 million dollars.

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

Q: Describe 3 different models (mathematical or otherwise) that you use or encounter frequently in…

A: Mathematical modeling: Mathematics provides tools for analyzing relationships between variables and…

Q: 3a.) What is the total possible ways you can arrange 2 focus groups of students one group being size…

A: Number of students is 30.Including John and Jane.

Q: The Big Choo Choo Company (BCCC) owns a rail line from the town of "Isolated" to the coastal port of…

A: Willingness to pay, now and then condensed as WTP, is the most extreme value a client will pay for…

Q: What is a complex system?

A: A complex system is an arrangement of a great number of related but various elements with intricate…

Q: Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal…

A: Here Bill needs to take 242gms of carbohydrates,290gms of fat and 149gms of protein. He can take…

Q: 2. You have a factory that makes bikes and scooters. For bikes, you need 60 square feet of space per…

A: Bike Scooter Availability Area 60 sq ft 45 sq ft 5000 sq ft Time 20 min 36 min 50 hr=3000 min…

Q: The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials, the…

A: Let, Number of Lamp A be x, Number of Lamp B be y. It is given that the profit on lamp A is $50 and…

Q: The Phony TV company makes two different types of television sets, OLED and LED, which are assembled…

A: Consider the given: OLED model assembled per hour , when operated by line 1 =30 units. LED model…

Q: Answer the following questions for a 2 x 4 x 3 complex design - How many independent variables? -…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: You are thinking of making your home more energy efficient by replacing some of the light bulbs with…

A: Given- You are thinking of making your home more energy efficient by replacing some of the light…

Q: Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training.…

A: To solve this problem, we can use linear programming. First, let's construct a table showing the…

Q: Here is a copy of the previous problem: A university math department offers courses in College…

A: Let the number of sections of College Algebra offered =cthe number of sections of Finite Math…

Q: Baker's Plaza has two ovens. Oven 1 can produce 3,000 asado pandesal, 2,0 breads daily. Oven 2 can…

A: Make a table for the given data Oven 1 Oven 2 Requirement Asado Pandesal 3000 2000 18000…

Q: A group of 260 elementary school students and 35 adults are going on a field trip. They are…

A: A group of 260 elementary school students and 35 adults are going on trip.So, Total number of people…

Q: Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal…

Q: PROBLEM #2: A group of 148 people is spending five days at a summer camp. The cook ordered 12 pounds…

Q: Here is a copy of the previous problem: A university math department offers courses in College…

Q: For the following question, please upload all of your written work & solution in pdf format via "Add…

A: Find the general solution of system System has infinite solution

Q: - Find the p-value. O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 010 O 0.05 s p-value <…

A: b-2 From the output, the p value corresponding with unemployment is 0.045 That is, the p value lies…

Q: Having a hard time understanding the concepts in question 2. Anything helps! Thank you and I will…

Q: Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal…

A: The solution of a system of linear equations can be obtained using matrix operations. The process…

Q: Psychopaths display a constellation of traits that render them a dangerous group of individuals.…

A: Given: The number of observations is: n=20 The level of significance is: α=0.05

Q: The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery.…

Q: Henry Lee is the Vice President of Purchasing for the consumer electronics division of the Major…

Question

I need help with this problem.

The average production cost for major movies is 58 million dollars and the standard deviation is 20 million
dollars. Assume the production cost distribution is normal. Suppose that 41 randomly selected major
movies are researched. Answer the following questions. Give your answers in millions of dollars, not
dollars. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - NO
b. What is the distribution of x? x NO
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 54 and 59 million dollars.
d. For the group of 41 movies, find the probability that the average production cost is between 54 and
59 million dollars.
e. For part d), is the assumption of normal necessary? No Yes

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

I need help with the last few questions.

The average production cost for major movies is 58 million dollars, with a standard deviation of 20 million dollars. Assuming the production cost distribution is normal, 41 randomly selected major movies are analyzed. Here are the details:

a. Distribution of $ X $:
\[
X \sim N(58, 20)
\]

b. Distribution of $ \bar{x} $:
\[
\bar{x} \sim N\left(58, \frac{20}{\sqrt{41}}\right) \approx N(58, 3.1235)
\]

c. Probability for a single randomly selected movie to have a production cost between 54 and 59 million dollars:
\[
0.5254
\]

d. Probability for the average production cost of the 41 movies to fall between 54 and 59 million dollars:
\[
\text{(answer not provided in the image)}
\]

e. Is the assumption of normality necessary for part d)?
\[
\text{Yes}
\]

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

You must complete the two "designated for crediť" problems. In order to receive consideration for fu credit, all work must be shown. This includes computations, graphs, and explanations, when directec do so. The credited CTPS are worth a combined total of 25 points. You will be awarded points based accuracy and effort. Completely documenting your work increases my ability to rate your effort CTPS for Chapter 8 are due on Monday, April 25th. Included in this assignment are two extra credit problems. By completing the Extra Credit CTPS for Chapter 8 you will have an opportunity to earn up to 4 extra credit points per problem. All work, explanations, and correct answers must be provided in order for the problem to be considered fo extra credit. Students may turn in CTPS beyond the due date. No extra credit will be awarded if the assignment is submitted after the due date stated above. Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary to…
So I decide to go to Cinnaholic once day and I buy two cinnamon rolls. I notice that these cinnamon rolls do not appear to be the same size, so naturally I eat the smaller one first and then eat the bigger one. As I am sitting on my couch stuffed from those delicious rolls, I start to think, "I wonder if Cinnaholic makes their cinnamon rolls to the size they claim them to be." Of course I have to go and purchase several rolls, weigh them (in ounces), and eat them. 30 pounds later, I have collected all of my data and tabulated it below: Cinnamon Roll Weight 5.6, 6.3, 6.1, 6.1, 5.9, 5.8, 6.0, 6.0, 6.1, 6.3, 6.3, 6.3, 6.4, 5.8, 5.7. Cinnaholic claims that their Cinnabon rolls are made to weigh 6.1 ounces on average. The mean is 6.0467 Standard deviation: 0.2475
Can you please help me solve without the use of technology?
The answer provided for question B is not correct. I attempted to submit using that answer and the system told me the answer was not correct.
Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole number solutions: A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
Identify two problems with the following question. Explain how you would rewrite it so that it is more appropriate.given that youth crime is on the rise in urban areas, what should be the top enforcement priority for our local police force? which one is correct answer? 1.youth crime 2.car theft 3.illegal drug use 4.violent crime
both sheets are for the same problem.