Question
In: Statistics and Probability
show the bayes rule is the basis for the equations below part a p(h|e1) = P(H)P((e1|H)...
show the bayes rule is the basis for the equations below
part a
p(h|e1) = P(H)P((e1|H) / P(H)P(e1|H) + (1-P(H))P(e1|Ho)
part b
P(H|e1e2) = P(H|e1)P(e2|H) / P(H|e1) P(e2|H)+ (1-P(H|e1))P(e2)|Ho)
Part c
P (H|e1e2e3) = P(H|e1e2)P(e3|H) / P(H|e1e2) P(e3|H) + (1-P(H|e1e2)|e1))P(e3|Ho)
Solutions
orchestra answered 1 year agoRelated Solutions
Consider the hypothesis test below. H 0: p 1 - p 2 0 H a: p 1 - p 2 >...
Consider the hypothesis test below.
H 0: p 1
- p 2 0
H a: p 1
- p 2 > 0
The following results are for independent samples taken from the
two populations.
Sample 1
Sample 2
n1 = 100
n2 = 300
p1 = 0.24
p2 = 0.13
Use pooled estimator of p.
What is the value of the test statistic (to 2
decimals)?
What is the p-value (to 4
decimals)?
With = .05, what is your hypothesis testing
conclusion?
PART A: Suppose X and Y are independent. Show that H(X|Y) = H(X) . (H represents...
PART A: Suppose X and Y are independent. Show that H(X|Y) = H(X)
. (H represents entropy i think)
PART B: Suppose X and Y are independent. Show that H(X,Y) = H(X)
+ H(Y)
PART C: Prove that the mutual information is symmetric, i.e.,
I(X,Y) = I(Y,X) and xi∈X, yi∈Y
show that if H is a p sylow subgroup of a finite group G then for...
show that if H is a p sylow subgroup of a finite group G then
for an arbitrary x in G x^-1 H x is also a p sylow subgroup of
G
Use the sample data below to test the hypotheses H 0: p 1 = p 2...
Use the sample data below to test the hypotheses
H 0: p 1 = p
2 = p 3
H a: Not all population proportions are the
same
Populations
Response
1
2
3
Yes
200
200
92
No
150
200
108
where p i is the population proportion of
yes responses for population i. Using a .05 level of
significance. Use Table 12.4.
Compute the value of the 2 test
statistic (to 2 decimals).
The p-value is - Select your answer...
Use the sample data below to test the hypotheses H 0: p 1 = p 2...
Use the sample data below to test the hypotheses
H 0: p 1 = p
2 = p 3
H a: Not all population proportions are the
same
Populations
Response
1
2
3
Yes
150
150
92
No
100
150
108
where p i is the population proportion of
yes responses for population i. Using a .05 level of
significance. Use Table 12.4.
a. Compute the sample proportion for each
population. Round your answers to two decimal places.
p̄ 1...
Part V. 1. Events G and H are defined on the sample space. If P(G) =...
Part V. 1. Events G and H are defined on the sample space. If
P(G) = 0.3, P(H) = 0.2, and P(G ! H) = 0.1 a) Are G and H
independent? Explain.
__________________________________________________________________________
b) Are G and H mutually exclusive? Explain.
___________________________________________________________________________
2. The classical probability concept applies only when all possible
outcomes are ______________________. 5 3. If A is the event that I
win the lottery and B is the event that I go on vacation, then P(B...
1. Using the two equations below, show that the final position of the monkey and ball...
1. Using the two equations below,
show that the final position of the monkey and ball are the same
because of the acceleration due to gravity. At the final position
of the monkey and ball, the height of both will be the same. They
will also have the same time (t) since they will collide
simultaneously. Please arrange your work in an orderly fashion so
it may be graded accordingly.
2. How
long would it take a projectile shot from...
(6) In each part below, find a basis for R4 CONTAINED IN the given set, or...
(6) In each part below, find a basis for R4 CONTAINED IN the
given set, or explain why that is not possible: Do not use
dimension
(a) {(1,1,0,0),(1,0,1,0),(0,1,1,0)}
(b) {(1,−1,0,0),(1,0,−1,0),(0,1,−1,0),(0,0,0,1)}
(c) {(1,1,0,0),(1,−1,0,0),(0,1,−1,0),(0,0,1,−1)}
(d) {(1,1,1,1),(1,2,3,4),(1,4,9,16),(1,8,27,64),(1,16,81,256)}
(5) In each part below, find a basis for R4 that contains the given set, or...
(5) In each part below, find a basis for R4 that contains the
given set, or explain why that is not possible: (a)
{(1,1,0,0),(1,0,1,0),(0,1,1,0)} (b)
{(1,−1,0,0),(1,0,−1,0),(0,1,−1,0)} (c)
{(1,1,0,0),(1,−1,0,0),(0,1,−1,0),(0,0,1,−1)} (d)
{(1,1,1,1),(1,2,3,4),(1,4,9,16),(1,8,27,64),(1,16,81,256)}
Statistical Mechanics part b) show that the total energy U and the pressure P are the...
Statistical Mechanics
part b) show that the total energy U and the pressure P are
the same for an assembly distinguishable particles as for molecules
of an ideal gas while S is different. Explain why this makes sense.
In other words, show that the entropy S is different for an ideal
gas and an assembly of distinguishable particles and clearly show U
and P are the same for both different types of systems. Why is this
the case?
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