Question
In: Statistics and Probability
Show that the following functions are probability density functions for some value of k and determine...
Show that the following functions are probability density
functions for some value of k and determine k.
Then, determine the mean
((a),(c),(e),(g))
and variance
((b),(d),(f),(h))
of X. Round your answers to three decimal places (e.g.
98.765).
(a),(b)f (x) =
kx2 for 0 < x < 8
(c),(d)f (x) =
k(1 + 2x) for 0 < x < 21
(e),(f)f (x) =
ke-x for 0 < x
(g),(h)f (x) =
k where k > 0 and 121 < x < 121
+ k
Solutions
orchestra answered 2 years agoRelated Solutions
Show that the following functions are probability density functions for some value of k and determine...
Show that the following functions are probability density
functions for some value of k and determine k. Then, determine the
mean ((a),(c),(e),(g)) and variance ((b),(d),(f),(h)) of X. Round
your answers to three decimal places (e.g. 98.765).
(a),(b)f (x) = kx2 for 0 < x < 8
(c),(d)f (x) = k(1 + 2x) for 0 < x < 22
(e),(f)f (x) = ke-x for 0 < x
(g),(h)f (x) = k where k > 0 and 101 < x < 101...
Summarize key data distribution concepts including probability mass functions (PMF), probability density functions (PDF), and cumulative...
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on an organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?
Summarize key data distribution concepts including probability mass functions (PMF), probability density functions (PDF), and cumulative...
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on your organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?
6) What are some density dependent and some density independent factors that could together determine the...
6) What are some density dependent and some density independent
factors that could together determine the carrying capacity of a
species? Be sure in your answer you make it clear which factors are
density dependent and which are density independent.
What are some density dependent and some density independent factors that could together determine the carrying...
What are some density dependent and some density independent
factors that could together determine the carrying capacity of a
species? be sure in your answer your mark it clear which factors
and density dependent and which are density independent.
1- What is the Probability Density Functions and give example? 2- what is the types of...
1- What is the Probability Density Functions and give
example?
2- what is the types of Invertible Probability Distributions
such as (uniform, trinagular, exponetial....) and give example for
each?
Determine the rate law and the value of k for the following reaction using the data...
Determine the rate law and the value of k for the following
reaction using the data provided.
2 NO(g) + O2(g) ? 2 NO2(g)
[NO]i (M)
[O2]i (M)
Initial Rate (M-1s-1)
0.030
0.0055
8.55 x 10-3
0.030
0.0110
1.71 x 10-2
0.060
0.0055
3.42 x 10-2
Rate = 57 M-1s-1[NO][O2]
Rate = 3.1
The random variables X and Y have the following probability density function (pdf). Conditional probability density...
The random variables X and Y have the following probability
density function (pdf).
Conditional probability density function is
f(xly) = ax/y^2 , 0<x<y, 0<y<1
=0 , o/w
marginal density finction is
f(y) = by^4 ,0<y<1
= 0, o/w
At this time, find the constant a and b values to be the
probability density function, and then indicate whether the random
variables X and Y are independent, and if not, indicate whether
they are positive or inverse.
2 .Define the probability density functions (pdfs) of the independent random variables X and Y as:...
2 .Define the probability density functions (pdfs) of the
independent random variables X and Y as:
fX(x)={ (1/5).(1-(x/10)), 0≤x≤10 fY(y)={
(1/5).(y/10) , 0≤y≤10
0 , otherwise for both fX(x) and fY(y)
(a) Suppose that you are playing a game where you want to maximize
your number of points , and you can have your score be X or Y .
Which would you choose?
(b) Suppose I am confused in part (a), so I flip an unfair coin,
with P...
Show whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L.
Show whether the following production functions exhibit
increasing, constant, or decreasing returns to scale in K and L.
Note: “exponents add up to one, so it CRTS” is not an acceptable
answer. a. Y=(K1-a + L1-a ) 1/a b. Y=K/L c. Y=K1/4L3/4
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