Question

1. Variance of normal random variables. a. Run a simulation to determine what is the standard...

1. Variance of normal random variables.

a. Run a simulation to determine what is the standard deviation of the sum of 16 standard normal variables. Make sure that you run a sufficient number of simulations so that your answer is stable (e.g., run the simulation a few times to make sure the answer comes up about the same). Include both your code and answer in your solutions.

b. Given the results of your simulation, what do you think is the standard deviation for the sum of N standard normal random variables.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
PLEASE USE R CODE!! Continue to generate standard normal random variables until you have generated n...
PLEASE USE R CODE!! Continue to generate standard normal random variables until you have generated n of them, where n≥100 is such that S/sqrt(n) <0.1, where S is the sample standard deviation of the n data value. (a)How many normals do you think will be generated? (b)What is the sample mean of all the normals generated? (c)What is the sample variance?
4. Using R code, compare the pdfs of three normal random variables, one with mean 1...
4. Using R code, compare the pdfs of three normal random variables, one with mean 1 and standard deviation 1, one with mean 1 and standard deviation 10, and one with mean -4 and standard deviation 1. Thank you
The random variables X1 and X2 both follow normal distributions. The mean of X1 is E(X1)=5,...
The random variables X1 and X2 both follow normal distributions. The mean of X1 is E(X1)=5, and its variance is V(X1)=2 The mean of X2 is E(X2)=9, and its variance is V(X2)=3. If Y is a random variable such that Y = 3X1+5X2, what is P(Y<70)? A student takes 4 measurements and finds that the mean is 64 and the sample variance is 81. What is the sample standard deviation For a random variable X, which statement is most likely...
(1) Generate 80 normally distributed random variables with the mean 30 and the standard deviation 8,...
(1) Generate 80 normally distributed random variables with the mean 30 and the standard deviation 8, and store them in the vector ‘rand.vec. Then plot their empirical distribution function. (2) Given a normal distribution with the mean 30 and the standard deviation 8, find the two values of x that contain the middle 70% of the normal curve area. (3) Calculate the probability for 2.5 < X < 10 in a Poisson distribution with the mean 6 use in R...
Let X be a normal random variable with ?=−10 and ?=2. Let Z be a standard...
Let X be a normal random variable with ?=−10 and ?=2. Let Z be a standard normal random variable. Draw density plots for both random variables on the same graph. You will want an x-axis that goes from around -20 to around 5. Your y-axis will start at zero and will need go high enough to cover the highest density. Recall that the density of a normal random variable at the point ? with mean ? and standard deviation ?...
4. a) Suppose a population under consideration has a variable that is wellapproximated by a Normal...
4. a) Suppose a population under consideration has a variable that is wellapproximated by a Normal Distribution with the population mean of 95 and a standard deviation of 12.9 (ie. x ~ N(95,12.9)). What is the probability that a value selected at random from the population will exceed 101.1? Include appropriately labeled pictures, diagrams and definitions to support your answer. b) Suppose a sample of size 115 is selected at random from the population indicated in problem (a). What is...
The assignment is: Next, in SPSS, run frequency distributions for each of the categorical variables and...
The assignment is: Next, in SPSS, run frequency distributions for each of the categorical variables and descriptive statistics for each of the continuous variables. Consider also creating a graph or chart in SPSS to describe these distributions. For variables that have very small frequencies in at least one category (e.g., less than 7 people in a category), think about combining that category with another if it makes conceptual sense (i.e., there are very few Native Americans, does it make sense...
Give me a real-life example of a data distribution that you think is approximately normal, but...
Give me a real-life example of a data distribution that you think is approximately normal, but with a large spread (i.e. large standard deviation). Use Google or other research methods to find the mean and standard deviation to support your claim. What reasons or conditions attribute to the large variation? (Here's my example: income - some people make minimum wage, some people make $134M over 4 years. Think of another example and do some research to find the standard deviation,...
please answer all 1.) Use Table A to find the value z of a standard Normal...
please answer all 1.) Use Table A to find the value z of a standard Normal variable that satisfies each of the following conditions. (Use the value of z from Table A that comes closest to satisfying the condition.) In each case, sketch a standard Normal curve with your value of z marked on the axis. (Round your answers to two decimal places.) (a) The point z with 64% of the observations falling below it z = (b) The point...
(1) a data distribution that you think is approximately normal, but with a large spread (i.e....
(1) a data distribution that you think is approximately normal, but with a large spread (i.e. large standard deviation). (2) Use Google or other research methods to find the mean and standard deviation to support your claim. (3) What reasons or conditions attribute to the large variation? (Here's my example: income - some people make minimum wage, some people make $134M over 4 years. Think of another example and do some research to find the standard deviation, and answer the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT