Question
In: Statistics and Probability
Use the R script to finish the following operations: (1) Generate 60 normally distributed random variables...
Use the R script to finish the following operations:
(1) Generate 60 normally distributed random variables with the mean
30 and the variance 16, and
store them in the vector ‘rand.vec’.
(2) Turn the vector ‘rand.vec’ into a 6X10 matrix, and assign the name ‘rand.mat’ to the matrix.
(3) Given a normal distribution with the mean 30 and the variance 16, find the two values of x that contain the middle 50% of the normal curve area.
Solutions
orchestra answered 2 years agoRelated Solutions
Use R to generate n = 400 samples (idependent identically distributed random numbers) of X ∼...
Use R to generate n = 400 samples (idependent identically
distributed random numbers) of X ∼ N(0, 4). For each Xi , simulate
Yi according to Yi = 3 + 2.5Xi + εi , where εi ∼ N(0, 16), i = 1,
..., n. Use R to solve the following questions. (a) Compute the
least square estimators of βˆ 0 and βˆ 1. (b) Draw a regression
line according to the numbers computed in (a). Plot Y and X with...
We will use shorthand notation and probability notation for random variables when working with normally distributed...
We will use shorthand notation and
probability notation for random variables when working with
normally distributed random variables. Suppose the vitamin C
content of a particular variety of orange is distributed normally
with mean 720 IU and standard deviation 46 IU. If we designate
X = the vitamin C content of a
randomly selected orange,
then our shorthand notation is
X~N(720 IU, 46 IU).
Use this distribution of vitamin C
content to answer the following questions:
1) What is the...
Write the R code to generate five independent uniform random numbers and use that to generate...
Write the R code to generate five independent uniform random
numbers and use that to generate 5 independent Bernoulli random
variables with probability of success p = 0.4.
please use RStudio.
please do not use lab nor rbern for calculations.
If X1,...Xn are normally distributed random variables. is the sample mean an unbiased estimator for the...
If X1,...Xn are normally distributed random variables. is the
sample mean an unbiased estimator for the median? can you explain
why or why not?
Suppose R1,R2,...,Rn are mutually independent and uniformly distributed random variables on [0,1]. Assume R(1) ≤ R(2)...
Suppose R1,R2,...,Rn are mutually independent and uniformly
distributed random variables on [0,1]. Assume R(1) ≤ R(2) ≤···≤
R(n) are the order statistics of the R1,R2,...,Rn. It is given that
1 ≤ a < b ≤ n. What is the distribution of R(b)−R(a)?
Suppose that z = xy, where x and y are independent and normally distributed random variables
Suppose that z = xy, where x and y are independent and normally distributed random variables. The mean and variance of x are µx = 10 and σ2x = 2. The mean and variance of y are µy = 15 and σ2y = 3. Find the mean and variance of z by simulation. Does µz = µxµy? Does σ2z = σ2x σ2y? Do this for 100, 1000, and 5000 trials.
A simple random sample of 60 adults is obtained from a normally distributed? population, and each?...
A simple random sample of
60
adults is obtained from a normally distributed? population, and
each? person's red blood cell count? (in cells per? microliter) is
measured. The sample mean is
5.24
and the sample standard deviation is
0.51
Use a
0.01
significance level and the given calculator display to test the
claim that the sample is from a population with a mean less
than
5.4
which is a value often used for the upper limit of the range of...
The time it takes workers to finish cleaning is normally distributed with a mean of 73.27...
The time it takes workers to finish cleaning is normally
distributed with a mean of 73.27 minutes and a standard deviation
of 7.04 minutes. If 13 workers are randomly selected, what is the
probability the average time it takes them to finish cleaning is
more than 73 minutes?
Use the R script to answer the following questions: (write down your answers in the R...
Use the R script to answer the following questions: (write down
your answers in the R script with ##)
(1). Import FarmSize.csv to Rstudio. Use the correct function to
build a linear regression model predicting the average size of a
farm by the number of farms; Give the model a name (e.g.
FarmSize_Model). Call the model name to inspect the intercept and
slope of the regression model. Verify the answers in your manual
calculation.
(2). Use the correct function to...
Use the R script to answer the following questions: (write down your answers in the R...
Use the R script to
answer the following questions: (write down your answers in the R
script with ##)
(1). Import
FarmSize.csv to Rstudio. Use the correct function to build a linear
regression model predicting the average size of a farm by the
number of farms; Give the model a name (e.g. FarmSize_Model). Call
the model name to inspect the intercept and slope of the regression
model. Verify the answers in your manual calculation.
(2). Use the correct
function to...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Paymaster Enterprises has arranged to finance its seasonal working-capital needs with a short-term bank loan. The...
- TOWS matrix of WOW MOMO
- Write an anecdotal lead with a person focus from the following information; include a nut graph....
- Step 1 Picture yourself as a Senior Product Manager in your favorite industry. This could be...
- Gauss Jordan elimination using python for a 2d list (3x3) without using any library. Thanks
- What are some of the greatest barriers preventing our schools from meeting the educational goals for...
- What aspect of the materials used in nanotechnology differentiates it from the nanoscale devices that the...
ADVERTISEMENT