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OlmekinjP
2021-05-30
Answered

Random variables X and Y have joint PDF

${f}_{X,Y}(x,y)=\{\begin{array}{l}12{e}^{-(3x+4y)},\text{}x\ge 0,y\ge 0\\ 0,\text{}otherwise\end{array}$

Find$P[max(X,Y)\le 0.5]$

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pattererX

Answered 2021-05-31
Author has **95** answers

The value of

=0.7769

=0.8647

=0.6718

asked 2021-03-18

A population of values has a normal distribution with

Find the probability that a single randomly selected value is between 133.6 and 134.1.

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-21

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a

Express your answer in the form of three inequalities. Give your answers in decimal fractions up to three places

asked 2020-12-30

Consider a set of 20 independent and identically distributed uniform random variables in the interval (0,1). What is the expected value and variance of the sum, S, of these random variables?

Select one:

a.$E\left(S\right)=10$ , $Var\left(S\right)=1.66667$

b.$E\left(S\right)=200$ , $Var\left(S\right)=16.6667$

c.$E\left(S\right)=100$ , $Var\left(S\right)=200$

a.$E\left(S\right)=10$ , $Var\left(S\right)=12$

Select one:

a.

b.

c.

a.

asked 2021-11-08

The random variables X and Y have joint density function

f(x,y)=12xy(1-x) 0<x<1,0<y<1

and equal to 0 otherwise.

Find E[X].

f(x,y)=12xy(1-x) 0<x<1,0<y<1

and equal to 0 otherwise.

Find E[X].

asked 2021-02-26

Suppose that ${X}_{1},{X}_{2},...,{X}_{200}$ is a set of independent and identically distributed Gamma random variables with parameters $\alpha =4,\lambda =3$ .

Describe the normal distribution that would correspond to the sum of those 200 random variables if the Central Limit Theorem holds.

Describe the normal distribution that would correspond to the sum of those 200 random variables if the Central Limit Theorem holds.

asked 2022-01-17

How do you find the mean of the following set of numbers: 12, 14, 16, 12, 13?

asked 2021-08-11

Smoking and drinking coffee have a tendency to stain teeth. In an effort to determine the ability of chewing gum to remove stains on teeth, researchers conducted an experiment in which 64 bovine incisors (teeth) were stained with natural pigments such as coffee for 10 days. Each tooth was randomly assigned to one of four treatments: gum A, gum B, gum C, or saliva. Ea ch tooth group was placed into a device that simulated a human chewing gum. The temperature of the device was maintained at body temperature and the tooth was in the device for 20 minutes. The process was repeated six times (for a total of 120 minutes of chewing). The researcher conducting the experiment did not know which treatment was being applied to each experimental unit. Upon removing a tooth from the chewing apparatus, the color change was measured using a spectrophotometer. The percent age of stain removed by each treatment after 120 minutes is as follows: Gum A, 47.6%. Gum B, 45.2%, Gum C, 21.4%, Saliva, 2.1%. The researchers concluded that gums A and B removed significantly more stain than gum C or saliva. In addition, gum C removed significantly more stain than saliva. (a) Identify the research objective. (b) Is this an observational study or designed experiment? Why? (c) If observational, what type of observational study is this? If an experiment, what type of experimental design is this? (d) What is the response variable? (e) What is the explanatory variable? ls it qualitative or quantitative? (I) Identify the experimental units. (g) State a factor that could affect the value of the response variable that is fixed at a set level. (h) What is the conclusion of the study?