Question

An advanced engineered ceramic has a Weibull modulus m = 9. The flexural strength is 250 MPa at a probability of failure F = 0.4. What is the level of flexural strength if the probability of failure has to be 0.1? Show all the steps of your work.

Answer #1

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Lake Waiua is Hawaii's only alpine lake. It has
(approximately) vertical sides and a 7000 m2
area.
Between 2010 and 2013, its depth declined from 3m to 0.3
m.
e) The soil of the lake bed has a porosity of
ϕ=0.5. After the lake drained, the soil is unsaturated
and has water content of θ=0.3, and a matric potential (head) of
-20m. There is a rainstorm. After 1 day, all the
rainfall infiltrates over the unsaturated soils. The cumulative
infiltration (F) depth is...

Bivariate Data & Probability
After completing the calculation by hand in Q1 you can use
Excel to check your answers before submitting. Q2 assesses your
general understanding of probability and linear associations using
Excel to analyse a large dataset.
Question 1
Covariance and Correlation
The table below shows a set of sample bivariate data. Calculate
the covariance and correlation coefficient by completing the below
table. Show all working.
X
Y
(X - )
(Y - )
(X - )(Y -...

Experiment 1: Titrations With Hot Taco Sauce and
Ketchup
Materials:
(2) 250 mL Beakers
100 mL Beaker (waste beaker)
30 mL Syringe
Syringe stopcock
100 mL Graduated cylinder
Funnel
Stir rod
Ring stand
Ring Clamp
pH meter
Scale
20 mL 0.1M NaOH
2 Ketchup packets
2 Hot sauce packets
*90 mL Distilled water
*Scissors
*Computer Access
*Access to a Graphing Software
*Procedure for creating this solution provided in the "Before
You Begin..." section (located at the beginning of the manual)....

Amy has income of $M and consumes only two goods: composite good
y with price $1 and chocolate (good x) that costs $px per unit. Her
util- ity function is U(x,y) = 2xy; and marginal utilities of
composite good y and chocolate are: MUy = 2x and MUx = 2y.
(a) State Amy’s optimization problem. What is the objective
function? What is a constraint?
(b) Draw the Amy’s budget constraint. Place chocolate on the
horizontal axis, and ”expenditure all other...

Solutions for this exercise will not be posted. However, it is
possible that questions from this
exercise could appear on Midterm II. DEFINE ALL NOTATION!!!!!
1. Here is a pdf:
.
a) How do you know it is a continuous distribution?
b) The constant a is positive. What is a?
c) What is probability that the random variable X is equal to
1?
d) What is F(-0.5)?
e) What is the cdf of the random variable X?
f) What is...

1. Find the area under the standard normal curve (round to four
decimal places)
a. To the left of z=1.65
b. To the right of z = 0.54
c. Between z = -2.05 and z = 1.05
2. Find the z-score that has an area of 0.23 to its right.
3. The average height of a certain group of children is 49
inches with a standard deviation of 3 inches. If the heights are
normally distributed, find the probability that a...

Plagiarism Certification Tests for Undergraduate College
Students and Advanced High School Students
These tests are intended for undergraduate students in
college or those under 18 years of age.
Read these directions carefully!
The below test includes 10 questions, randomly selected from a
large inventory. Most questions will be different each time you
take the test,
You must answer at least 9 out of 10 questions correctly to
receive your Certificate.
You have 40 minutes to complete each test, and you...

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...

1. A city official claims that the proportion of all commuters
who are in favor of an expanded public transportation system is
50%. A newspaper conducts a survey to determine whether this
proportion is different from 50%. Out of 225 randomly chosen
commuters, the survey finds that 90 of them reply yes when asked if
they support an expanded public transportation system. Test the
official’s claim at α = 0.05.
2. A survey of 225 randomly chosen commuters are asked...

Below is a case on estimation and
analysis of demand for Bottled Water.
Read the case carefully and use the
appropriate techniques given in the text book on demand estimation
and analysis and make your decisions, judgments and evaluation
based on the results. For solving any part of the case you have to
give your explanations write the proper formula, and show the
procedure of reaching to your answers. All your work should be
typed and the data, printout of...

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