Question

Suppose the winnings of gamblers at Las Vegas are normally distributed with mean \$670 and standard...

Suppose the winnings of gamblers at Las Vegas are normally distributed with mean \$670 and standard deviation \$38. item Generate 10000 random numbers using rnorm function. Show how this distribution would look like. Add in the plot the mean, median and 20\% trimmed mean (provide these values). Solve using R studio.

Homework Answers

Answer #1

Let we have the winnings of gamblers at Las Vegas are normally distributed with mean $670 and standard deviation $38.

#####
mu<-670
sigma<-38

### Generate 10000 random numbers from given normal distibution i.e N(670,38)
x<-rnorm(10000,670,38)

## Plot histogram for checking distribution of generated data

mean<-mean(x)
669.7082

median<-median(x)
669.4677

trim_mean<-mean(x,trim=0.2)
669.6669

hist(x,xlab = "Class",ylab = "Frequency",main = "Histogram of X",col="chocolate3")
## ad mean on histogram
abline(v = mean,
col = "royalblue",
lwd = 2)
## ad median on histogram
abline(v = median,
col = "red",
lwd = 2)
## ad trimed mean on histogram
abline(v = trim_mean,
col = "yellow",
lwd = 2)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the winnings of gamblers at Las Vegas are normally distributed with mean \$670 and standard...
Suppose the winnings of gamblers at Las Vegas are normally distributed with mean \$670 and standard deviation \$38. Generate 10000 random numbers using rnorm function. Show how this distribution would look like. Add in the plot the mean, median and 20\% trimmed mean (provide these values). In the previous problem, how much someone has to win to be in the top 5%? Solve using R studio.
(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...
Suppose that the return of stock A is normally distributed with mean 4% and standard deviation...
Suppose that the return of stock A is normally distributed with mean 4% and standard deviation 5%, the return of stock B is normally distributed with mean 8% and standard deviation 10%, and the covariance between the returns of stock A and stock B is −30(%)2 . Now you have an endowment of 1 dollar, and you decide to invest w dollar in stock A and 1 − w dollar in stock B. Let rp be the overall return of...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is supposed to contain 10 grams of sugar. The cupcakes are produced by a machine that adds the sugar in a bowl before mixing everything. You believe the machine does not add 10 grams of sugar for each cupcake. If your assumption is true, the machine needs to be fixed. You stored the level of sugar of thirty cupcakes. Note: You can create a randomized...