1) A personnel manager of a large manufacturing plant is investigating the number of reported on-the-job...
1) A personnel manager of a large manufacturing plant is investigating the number of reported on-the-job accidents at the facility over the past several years. Let X be the number of such accidents reported during a 1 month period. Based on past records, the manager has established the probability distribution for X as shown in the data below.
| Reported on-the-job accidents | ||
| Number reported | Probability | |
| 0 | 0.50 | |
| 1 | 0.25 | |
| 2 | 0.10 | |
| 3 | 0.05 | |
| 4 | 0.05 | |
| 5 | 0.02 | |
| 6 | 0.01 | |
| 7 | 0.01 | |
| 8 | 0.01 | |
| >=9 | 0.00 | |
A. Generate 400 values of this random variable X with the given probability distribution using simulation.
B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not.
Homework Answers
Solution : 
py is empirical probability distribution based on random sample of
size 400 that we have generated from given probability distribution
of X .
We can observed that Py and Px are nearly same .
Add Answer to:
1) A personnel manager of a large manufacturing plant is
investigating the number of reported on-the-job...
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-4)-0.1 A. Generate 400 values of this random variable with the given pro...
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-4)-0.1 A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated values. How do these summary measures compare to the...
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with...
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
Consider the probability distribution of the weekly demand for copier paper (in hundreds of reams) used...
Consider the probability distribution of the weekly demand for copier paper (in hundreds of reams) used in a corporation's duplicating center, as shown in the file P04_27.xlsx. a. Use simulation to generate 500 values of this random variable. Calculate the mean and standard deviation of the given distribution. (Round your answers to two decimal places.) Mean Standard Deviation b. Find the mean and standard deviation of the simulated values. (Round your answers to two decimal places.) Mean Standard Deviation c....
10. Let X denote the number of times a certain numerical control machine will malfunction: 1,...
10. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as 0.05 0.10 0.20 Evaluate the marginal distribution of X. flx, y) 1 1 0.05 y 3 0.05 5 0.00 0.10 0.35 0.10 a. b. Evaluate the marginal distribution of Y c. Find eXY-3/X -2)....
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0...
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0 1 2 3 0.04 0.06 0.01 0.00 0.13 0.13 0.02 0.12 0.04 0.06 0.00 0.11 0.07 0.10 0.06 (a) (4 points) Find the marginal distributions of X and Y. (b) (4 points) Given X = 3, what is the probability that random variable Y is at most 2?. (c) (4 points) Are random variables X and Y independent? Why or why not? (d) (4...
Please answer neatly and correctly! A purchasing manager for a large university is investigating which brand...
Please answer neatly and correctly!
A purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the longevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector to two brands, Infocus and Proxima, and wishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs used. The purchasing manager obtained...
Lesson 6.2.4: Binomial Distribution and Sample Proportions A sample proportion, such as the one computed in...
Lesson 6.2.4: Binomial Distribution and Sample Proportions A sample proportion, such as the one computed in Question 4, is equal to a number of successes (x), divided by the sample size (n). The notation for a sample proportion is p, and it is computed by the formula p = Each value of x corresponds to a unique sample proportion ( p ), as computed by this formula. For example, x = 1 implies p = + - 0.10. These events,...
0.00 0.20 0.60 0.43 0.75 0.27 1.45 0.19 0.26 0.04 0.61 0.26 0.80 0.36 0.26 1.30 0.01...
0.00 0.20 0.60 0.43 0.75 0.27 1.45 0.19 0.26 0.04 0.61 0.26 0.80 0.36 0.26 1.30 0.01 0.10 0.06 0.19 0.51 1.74 0.01 0.19 0.06 0.19 0.17 0.25 0.24 0.36 0.15 0.36 0.07 1.18 0.83 0.23 0.06 0.01 0.05 0.78 1.14 0.41 0.38 0.40 1.46 0.07 0.63 0.91 0.21 0.75 0.19 0.59 0.12 1.12 0.97 0.02 0.04 0.38 0.56 0.33 0.16 0.16 0.29 0.24 0.02 0.98 0.44 0.19 0.63 0.59 0.50 0.40 1.56 0.12 3.17 0.13 0.41 0.11 0.05 0.59...
Suppose that 20, 000 married adults in the United States were surveyed as to the number...
Suppose that 20, 000 married adults in the United States were surveyed as to the number of children they have. The results are compiled and used as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 P(x) x. P(x) Collapse Al 0.15 2 0.15 3 0.3 0.2 5 0.05 0.1 a. Complete the table above. b. Determine the expected value. EX]...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the past week?" Suppose that in fact 20 question. The proportion of the sample who answer this, we simulated 1000 samples of size n=1600 from a populatie smoked cigarettes in the past week. The results of this simula the percentage column and write your answers as decimals done for you as an example.) om sample of 1600 American adults, "Have you, yourself smoked any ose...
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-4)-0.1 A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated values. How do these summary measures compare to the...
10. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as 0.05 0.10 0.20 Evaluate the marginal distribution of X. flx, y) 1 1 0.05 y 3 0.05 5 0.00 0.10 0.35 0.10 a. b. Evaluate the marginal distribution of Y c. Find eXY-3/X -2)....
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0 1 2 3 0.04 0.06 0.01 0.00 0.13 0.13 0.02 0.12 0.04 0.06 0.00 0.11 0.07 0.10 0.06 (a) (4 points) Find the marginal distributions of X and Y. (b) (4 points) Given X = 3, what is the probability that random variable Y is at most 2?. (c) (4 points) Are random variables X and Y independent? Why or why not? (d) (4...
Please answer neatly and correctly!
A purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the longevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector to two brands, Infocus and Proxima, and wishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs used. The purchasing manager obtained...
Lesson 6.2.4: Binomial Distribution and Sample Proportions A sample proportion, such as the one computed in Question 4, is equal to a number of successes (x), divided by the sample size (n). The notation for a sample proportion is p, and it is computed by the formula p = Each value of x corresponds to a unique sample proportion ( p ), as computed by this formula. For example, x = 1 implies p = + - 0.10. These events,...
Suppose that 20, 000 married adults in the United States were surveyed as to the number of children they have. The results are compiled and used as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 P(x) x. P(x) Collapse Al 0.15 2 0.15 3 0.3 0.2 5 0.05 0.1 a. Complete the table above. b. Determine the expected value. EX]...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the past week?" Suppose that in fact 20 question. The proportion of the sample who answer this, we simulated 1000 samples of size n=1600 from a populatie smoked cigarettes in the past week. The results of this simula the percentage column and write your answers as decimals done for you as an example.) om sample of 1600 American adults, "Have you, yourself smoked any ose...
Most questions answered within 3 hours.
-
A z-score
communicates a raw score’s "relative standing"
under the normal curve in relation to:
asked 2 minutes ago -
An object is vibrating on a spring with the following equation
of motion:
?=(30 ??)cos((2?)/(160)?)
a)...
asked 2 minutes ago -
Vulcan Flyovers offers scenic overflights of Mount St. Helens,
the volcano in Washington State that explosively...
asked 4 minutes ago -
If organizations do not adapt fast enough and move incrementally
from the twentieth-century model to the...
asked 5 minutes ago -
A helium balloon with 2.5L of gas has a gauge pressure of 10,000
Pa. The balloon...
asked 9 minutes ago -
What is responsible for Jupiter's enormous magnetic field?
asked 25 minutes ago -
At the end of the year, a company offered to buy 5,000 units of
a product...
asked 26 minutes ago -
Implement C++ program for each of the following.
Let D = [-48, -14, -8, 0, 1,...
asked 46 minutes ago -
Consider a labor market in which LD = 400 – 4W and LS = 250 +...
asked 1 hour ago -
Let’s say you are teaching a typically-developing young child
how to eat with a spoon. Describe...
asked 43 minutes ago -
Ask Your Teacher A toy gun uses a spring to project a 5.6-g soft
rubber sphere...
asked 55 minutes ago -
*****DO NOT ANSWER THIS QUESTION IF YOU DON'T
KNOW*******
Question - PERSONAL DEVELOPMENT ESSAY and Detailed...
asked 1 hour ago