Question

Let Y ∼ Unif(1, 5)

R1. Write code in R that will simulate the setup in question 3a, and hence, allow you to roughly check your answer.

3a. If you generate 5 random numbers based on Y , what is the probability you’ll get more (numbers greater than 4) than (numbers less than or equal to 4)?

R2. Write code in R that will simulate the setup in question 3b, and hence, allow you to roughly check your answer.

3b. If you take lots of random values for Y and plug them into the polynomial h(x) = (2x−1)(x+3), what value would you get out of the polynomial on average?

Answer #1

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3. Let Y ∼ Unif(1, 5). (See questions R1 and R2.)
a. If you generate 5 random numbers based on Y , what is the
probability you’ll get more (numbers greater than 4) than (numbers
less than or equal to 4)?
b. If you take lots of random values for Y and plug them into
the polynomial h(x) = (2x−1)(x+3), what value would you get out of
the polynomial on average?

Language: Python
Write a program to simulate an experiment of tossing a fair coin
16 times and counting the number of heads. Repeat this experiment
10**5 times to obtain the number of heads for every 16 tosses; save
the number of heads in a vector of size 10**5 (call it
headCounts).
You should be able to do this in 1-3 lines of numpy code. (Use
np.random.uniform1 to generate a 2d array of 10**5 x 16 random
numbers between 0 and...

R Code
Directions: All work has to be your own, you may not work in
groups. Show all work. Submit your solutions in a pdf document on
Moodle. Include your R code (which must be
commented and properly indented) in the pdf file. Name this pdf
file ‘your last name’-HW5.pdf. Also submit one text file with your
R code, which must be commented and properly indented. You may only
use ‘runif’ to generate random numbers; other random number
generating functions...

write a code in python
Write the following functions below based on their comments.
Note Pass is a key word you can use to have a function the does not
do anything. You are only allowed to use what was discussed in the
lectures, labs and assignments, and there is no need to import any
libraries.
#!/usr/bin/python3
#(1 Mark) This function will take in a string of digits and
check to see if all the digits in the string are...

Use R to do each of the following. Use R code instructions that
are as general as possible, and also as efficient as possible. Use
the Quick-R website for help on finding commands. 1. Enter the
following values into a data vector named Dat: 45.4 44.2 36.8 35.1
39.0 60.0 47.4 41.1 45.8 35.6 2. Calculate the difference between
the 2nd and 7th entries of this vector using only reference
indices. 3. Calculate the median of Dat. 4. Sort the...

R Code
Directions: All work has to be your own, you may not work in
groups. Show all work. Submit your solutions in a pdf document on
Moodle. Include your R code (which must be
commented and properly indented) in the pdf file. Name this pdf
file ‘your last name’-HW5.pdf. Also submit one text file with your
R code, which must be commented and properly indented. You may only
use ‘runif’ to generate random numbers; other random number
generating functions...

Question (2) [5 marks] (Use R) Suppose you have a company
producing cupcakes. Each cupcake is supposed to contain 10 grams of
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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...

JAVA ASSIGNMENT
1. Write program that opens the file and process its contents.
Each lines in the file contains seven numbers,which are the sales
number for one week. The numbers are separated by comma.The
following line is an example from the file
2541.36,2965.88,1965.32,1845.23,7021.11,9652.74,1469.36. The
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. The average daily sales for each week
. The total sales for all of the weeks
.The average weekly sales
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year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18,
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a. For the sample data, compute the mean and its standard error
(from the standard deviation), and the median.
b. Using R, compute bootstrap estimates of the mean, median and
25% trimmed...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
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coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

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