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4.1 Before we continue with some new ideas, consider the following situations.Look at each example and...
ne that you are doing an experiment in order to determine the mass of an object...
ne that you are doing an experiment in order to determine the mass of an object t us say that as a result of the experiment, you determine that the best approximation of the mass is 83.45 g with a standard uncertainty of 0.34 g Et is sometimes convenient to write the result as 83.45t 0.34 g. The result 83.45 g0.34 g defines an interval on the "number line" (between 83,.11g to be f 79 g) in which we can...
The "best" result is always associated with the measurement with the smallest uncertainty. Measurement B has...
The "best" result is always associated with the measurement with the smallest uncertainty. Measurement B has half the standard uncertainty of measurement A. Therefor e our 68 % coverage probability is associated with a smaller interval (83.44 g o 83.56 g) for measurement B than measurement A (83.38 g to 83.62 g). In other words we have better knowledge about the value of the measurand from measurement B, since we have the same coveroge probability associated with a norrower interval....
Problem 7. Suppose that a coin will be tossed repeatedly 100 times; let N be the...
Problem 7. Suppose that a coin will be tossed repeatedly 100 times; let N be the number of Heads obtained from 100 fips of this coin. But you are not certain that the coin is a fair coin.it might be somewhat biased. That is, the probability of Heads from a single toss might not be 1/2. You decide, based on prior data, to model your uncertainty about the probability of Heads by making this probability into random variable as wl....
Open book, open notes. No collaboration. Return this sheet along with your answers (17) 1. Assume...
Open book, open notes. No collaboration. Return this sheet along with your answers (17) 1. Assume that a binary communication system sends message "O" as -5 V and message l" as +5 V randomly but with a "I" three times as likely as a "O". Because of uniformly-distributed noise picked up during transmission, a "o" arrives at the receiver input as a voltage uniformly distributed between -7 V and -3 V, and a "" arrives at the receiver input as...
Part E - Area Under the Curve (possible 12 points) 2 Activity: In the field of statistics the fun...
i
have no idea how to do this please help
Part E - Area Under the Curve (possible 12 points) 2 Activity: In the field of statistics the function fx)e 2 is used to model data like birth weight or height. In Lesson 8, you learned how to calculate z-scores, which then those scores related to the Project 2 345 MTHH 04 number of standard deviations that specific value was from the mean. Now, you will extend that knowledge of...
1. The size of claims made on an insurance policy are modelled through the following distribu- ti...
ANSWER QUESTION 2
1. The size of claims made on an insurance policy are modelled through the following distribu- tion: λ+1 You are interested in estimating the parameter λ > 0, using the following observations 120, 20, 60, 70, 110, 150, 220, 160, 100, 100 (a) Verify that f is a density (b) Find the expectation of the generic random variable X, as a function of when > 1 (c) Prove that the method of moments estimator of λ is...
5. Suppose X has the Rayleigh density otherwise 0, a. Find the probability density function for Y...
5. Suppose X has the Rayleigh density otherwise 0, a. Find the probability density function for Y-X using Theorem 8.1.1. b. Use the result in part (a) to find E() and V(). c. Write an expression to calculate E(Y) from the Rayleigh density using LOTUS. Would this be easier or harder to use than the above approach? of variables in one dimension). Let X be s Y(X), where g is differentiable and strictly incr 1 len the PDF of Y...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of...
Question For this problem, consider the function
y=f(x)=
|x|
+
x
3
on the domain of all real numbers.
(a) The value of
limx→
∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(b) The value of
limx→
−∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(c) There are two x-intercepts; list these in increasing
order: s=
, t=
.
(d) The intercepts in part (c) divide...
Consider the following statements. (i) Spring/mass systems and Series Circuit systems we covered are examples of...
Consider the following statements.
(i) Spring/mass systems and Series Circuit systems we covered
are examples of linear dynamical systems in which each mathematical
model is a second-order constant coefficient ODE along with initial
conditions at a specific time.
(ii) The following is an example of a piece-wise continuous
function
f (x) =
{
x
x ∈ Q
0
x ∈ R \ Q
(iii) It is unclear whether series solutions to ODEs even
exist, and knowing about series solutions to...
ne that you are doing an experiment in order to determine the mass of an object t us say that as a result of the experiment, you determine that the best approximation of the mass is 83.45 g with a standard uncertainty of 0.34 g Et is sometimes convenient to write the result as 83.45t 0.34 g. The result 83.45 g0.34 g defines an interval on the "number line" (between 83,.11g to be f 79 g) in which we can...
The "best" result is always associated with the measurement with the smallest uncertainty. Measurement B has half the standard uncertainty of measurement A. Therefor e our 68 % coverage probability is associated with a smaller interval (83.44 g o 83.56 g) for measurement B than measurement A (83.38 g to 83.62 g). In other words we have better knowledge about the value of the measurand from measurement B, since we have the same coveroge probability associated with a norrower interval....
Problem 7. Suppose that a coin will be tossed repeatedly 100 times; let N be the number of Heads obtained from 100 fips of this coin. But you are not certain that the coin is a fair coin.it might be somewhat biased. That is, the probability of Heads from a single toss might not be 1/2. You decide, based on prior data, to model your uncertainty about the probability of Heads by making this probability into random variable as wl....
Open book, open notes. No collaboration. Return this sheet along with your answers (17) 1. Assume that a binary communication system sends message "O" as -5 V and message l" as +5 V randomly but with a "I" three times as likely as a "O". Because of uniformly-distributed noise picked up during transmission, a "o" arrives at the receiver input as a voltage uniformly distributed between -7 V and -3 V, and a "" arrives at the receiver input as...
i
have no idea how to do this please help
Part E - Area Under the Curve (possible 12 points) 2 Activity: In the field of statistics the function fx)e 2 is used to model data like birth weight or height. In Lesson 8, you learned how to calculate z-scores, which then those scores related to the Project 2 345 MTHH 04 number of standard deviations that specific value was from the mean. Now, you will extend that knowledge of...
ANSWER QUESTION 2
1. The size of claims made on an insurance policy are modelled through the following distribu- tion: λ+1 You are interested in estimating the parameter λ > 0, using the following observations 120, 20, 60, 70, 110, 150, 220, 160, 100, 100 (a) Verify that f is a density (b) Find the expectation of the generic random variable X, as a function of when > 1 (c) Prove that the method of moments estimator of λ is...
5. Suppose X has the Rayleigh density otherwise 0, a. Find the probability density function for Y-X using Theorem 8.1.1. b. Use the result in part (a) to find E() and V(). c. Write an expression to calculate E(Y) from the Rayleigh density using LOTUS. Would this be easier or harder to use than the above approach? of variables in one dimension). Let X be s Y(X), where g is differentiable and strictly incr 1 len the PDF of Y...
Question For this problem, consider the function
y=f(x)=
|x|
+
x
3
on the domain of all real numbers.
(a) The value of
limx→
∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(b) The value of
limx→
−∞f(x)
is
. (If you need to use -∞ or ∞, enter -infinity or
infinity.)
(c) There are two x-intercepts; list these in increasing
order: s=
, t=
.
(d) The intercepts in part (c) divide...
Consider the following statements.
(i) Spring/mass systems and Series Circuit systems we covered
are examples of linear dynamical systems in which each mathematical
model is a second-order constant coefficient ODE along with initial
conditions at a specific time.
(ii) The following is an example of a piece-wise continuous
function
f (x) =
{
x
x ∈ Q
0
x ∈ R \ Q
(iii) It is unclear whether series solutions to ODEs even
exist, and knowing about series solutions to...
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