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Courses » Probability Foundations for Electrical engineers
Unit 9 - Week 7- Joint
distributions and transformations of random variables
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Week 0 - Experiments, sample space, events
Week 1 -
Probability space Week 2 -
Conditional probability Week 3 - Independence Week 4 - Discrete random variables Week 5 -
Conditional and joint
distributions, independence and
manipulations of random variables Week 6-
Continuous Random Variables Week 7- Joint distributions and transformations of random variables
Two-dimensional real sample space Joint pdf and joint CDF
Due on 2018-04-06, 23:59 IST.
1)
1 point 2)
1 point 1 point 3)
Assignment 7
The due date for submitting this assignment has passed.
As per our records you have not submitted this assignment.
Based on the given data answer question 1 and 2
Let the joint pdf of two continuous random variables be as given below.
(Write your answers correct upto 2 decimal places.)
a = ____________.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.78,0.80
P = ___________.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.57,0.59
Let the joint pdf of two continuous random variables be as given below. =
Then the marginals are
Week 8 -
Expectations and Averages
DOWNLOAD VIDEOS Interaction Session
More on assigning probability to regions of x-y plain
Darts example and marginal pdfs
Independence to two continuous random variables Examples: two independent continuous random variables Prob[ X > Y ]:
computation of probability of a non-rectangular region
Transformations of random variables CDF method pdf method Examples One-to-one transformations Quiz :
Assignment 7 Week 7 - Feedback Week 7 Assignment Solution
4)
1 point 1 point 5)
6)
1 point 7)
No, the answer is incorrect.
Score: 0
Accepted Answers:
Let be two i.i.d random variables uniform in the interval . Then P
= ___________.Write your answer correct to 2 decimal places.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.24,0.26
Based on the given question ,answer question 6
Let be two continuous random variables with pdf for where
is the triangle shown in the figure below.
are
Independent Dependent
No, the answer is incorrect.
Score: 0
Accepted Answers:
Dependent
For = ____________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 1
1 point
8)
1 point 9)
1 point 10)
1 point 11)
1 point 12)
Let be two continuous random variables with the joint pdf
Then P =___________. Write your answer correct upto two decimal places.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.49,0.51
Based on the given data, answer the following question up to 15
Let be the number obtained by rolling a fair six-sided die with faces numbered from to .Let
be a transformation of such that Let the values
taken by (with non zero probabilities) in increasing order be , , and . Let for . Write answers for correct to 3 decimal places.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 2
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 4
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 5
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 6
1 point 13)
1 point 14)
1 point 15)
1 point
16)
1 point 17)
1 point 18)
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.165,0.169
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.331,0.335
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.165,0.169
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.331,0.335
Based on the given data, answer the following up to question 18 is a continuous random variable uniformly distributed in
then
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 0
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 1
= _______. Write your answer correct to 2 decimal places.
1 point 1 point 19)
20)
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.72,0.74
Let be a random variable with the pdf given below:
The pdf of is
No, the answer is incorrect.
Score: 0
Accepted Answers:
Based on the given data , answer question 20 and 21
A continuous random variable has the following CDF: A
transformation is such that
P(Y = 0.3) = ____________
No, the answer is incorrect.
Score: 0
Accepted Answers:
1 point 21)
1 point
22)
1 point 23)
1 point 24)
1 point 25)
(Type: Range) 0.40,0.42
If is the CDF of then =__________ Write your answers correct to 2 decimal places.
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 0.61,0.63
Based on the given data , answer the following
Let Then the pdf is of the form,
Write your answers correct upto 3 decimal places.
Based on this given question , answer the question 23 and 24
If then
= ___________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 1.498,1.502
= _____________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 1.498,1.502
= __________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) 0
Based on this given question, answer question 26 and 27
If then
= _________
No, the answer is incorrect.
Score: 0
Accepted Answers:
1 point 26)
1 point 27)
1 point (Type: Range) 0.333,0.337
= __________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Range) 1.498,1.502
= _______________
No, the answer is incorrect.
Score: 0
Accepted Answers:
(Type: Numeric) -1
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