Given the PDF for X, find P( X > 5 ) and find h. The PDF...
Given the PDF for X, find P( X > 5 ) and find h.
The PDF in uniform with lowest value = 3 and highest value = 10.
Homework Answers
2. Let the random variables X and Y have the joint PDF given below: (a) Find P(X + Y ≤ 2). (b) Find the marginal PDFs o...
2. Let the random variables X and Y have the joint PDF given
below:
(a) Find P(X + Y ≤ 2).
(b) Find the marginal PDFs of X and Y.
(c) Find the conditional PDF of Y |X = x.
(d) Find P(Y < 3|X = 1).
Let the random variables X and Y have the joint PDF given below: 2e -0 < y < 00 xY(,) otherwise 0 (a) Find P(XY < 2) (b) Find the marginal PDFs of...
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N) X1,2.. N;...
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N) X1,2.. N; where N 1,2,.3,.. We wish to test the hypotheses: H,: N- 30 versus H,: N <30. Our critical region is of the form R {x : x < k} , where k is an integer. Find the largest value of k such that the test is level α 0.05. a) β (10) Using this k, what is the chance of...
BSP2014 5. Given xe 20 Cr) 0 x<0 i) Show thatAx) is a pdf. ii) Find...
BSP2014 5. Given xe 20 Cr) 0 x<0 i) Show thatAx) is a pdf. ii) Find the cumulative distribution function (CDF) of X 6. The p.d.fof a random variable Y is given by y +1 for2<y<4 v) 0 elsewhere Find i) the value of c ii) P(Y<3.2) iii)P(2.9 < γ< 3.2) 7. The p.d.fof a random variable X is given by elsewhere i) Find P(X<1.5) ii) Find P(0.5 X1.5)
Problem 4: (20 Points) X is a uniform random variable with parameters -5 and 5. Given...
Problem 4: (20 Points) X is a uniform random variable with parameters -5 and 5. Given the event B-VI > 3) 1. (5 points) What is the probability of the event B, P(B)? 2. (5 points) What is the conditional PDF, fxB()7 3. (5 points) Find the conditional expected value, E[X |B]. 4. (5 points) Find the conditional variance, var[X]B].
Show all work! Thank you! kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1...
Show all work! Thank you!
kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
Y1 A) Write PDF function of X? fx (x)- B) Find P(YSO.5)? C) Find Varl)
y<-1 21. (12 pts) Suppose X is a random variable with CDF F1)/2 -1sy s1 y>1 A) Write PDF function of X? fx (x)- B) Find P(YSO.5)? C) Find Varl)
y1 A) Write PDF function of X? fx (x)- B) Find P(YSO.5)? C) Find Varl)
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N)-N , N ; w...
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N)-N , N ; where N-|, 2,3, x# 1,2, We wish to test the hypotheses: H,: N 30 versus H,: N <30. Our critical region is of the form R-x: x <k. where k is an integer Find the largest value of k such that the test is level α 0.05. a) b) Using this k, what is the chance of type II...
5. Suppose that the joint pdf of the random variables X and Y is given by...
5. Suppose that the joint pdf of the random variables X and Y is given by - { ° 0 1, 0< y < 1 f (x, y) 0 elsewhere a) Find the marginal pdf of X Include the support b) Are X and Y independent? Explain c) Find P(XY < 1)
1-Calculate the pdf of y given that the pdf of x is given by pdf x...
1-Calculate the pdf of y given that the pdf of x is given by pdf
x
2- cketch of pdf
iVen a random variable y- 5x of where x is another random variable. Calculate the p y given that the pdf of x is given by and drow pdf -X x20
If f(x) in the figure is a PDF, find the value of h, explain.
If f(x) in the figure is a PDF, find the value of h, explain.
2. Let the random variables X and Y have the joint PDF given
below:
(a) Find P(X + Y ≤ 2).
(b) Find the marginal PDFs of X and Y.
(c) Find the conditional PDF of Y |X = x.
(d) Find P(Y < 3|X = 1).
Let the random variables X and Y have the joint PDF given below: 2e -0 < y < 00 xY(,) otherwise 0 (a) Find P(XY < 2) (b) Find the marginal PDFs of...
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N) X1,2.. N; where N 1,2,.3,.. We wish to test the hypotheses: H,: N- 30 versus H,: N <30. Our critical region is of the form R {x : x < k} , where k is an integer. Find the largest value of k such that the test is level α 0.05. a) β (10) Using this k, what is the chance of...
BSP2014 5. Given xe 20 Cr) 0 x<0 i) Show thatAx) is a pdf. ii) Find the cumulative distribution function (CDF) of X 6. The p.d.fof a random variable Y is given by y +1 for2<y<4 v) 0 elsewhere Find i) the value of c ii) P(Y<3.2) iii)P(2.9 < γ< 3.2) 7. The p.d.fof a random variable X is given by elsewhere i) Find P(X<1.5) ii) Find P(0.5 X1.5)
Problem 4: (20 Points) X is a uniform random variable with parameters -5 and 5. Given the event B-VI > 3) 1. (5 points) What is the probability of the event B, P(B)? 2. (5 points) What is the conditional PDF, fxB()7 3. (5 points) Find the conditional expected value, E[X |B]. 4. (5 points) Find the conditional variance, var[X]B].
Show all work! Thank you!
kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
y<-1 21. (12 pts) Suppose X is a random variable with CDF F1)/2 -1sy s1 y>1 A) Write PDF function of X? fx (x)- B) Find P(YSO.5)? C) Find Varl)
y1 A) Write PDF function of X? fx (x)- B) Find P(YSO.5)? C) Find Varl)
Suppose X is Discrete Uniform(N). N is unknown. Thus, the pdf of X is given by f, (x:N)-N , N ; where N-|, 2,3, x# 1,2, We wish to test the hypotheses: H,: N 30 versus H,: N <30. Our critical region is of the form R-x: x <k. where k is an integer Find the largest value of k such that the test is level α 0.05. a) b) Using this k, what is the chance of type II...
5. Suppose that the joint pdf of the random variables X and Y is given by - { ° 0 1, 0< y < 1 f (x, y) 0 elsewhere a) Find the marginal pdf of X Include the support b) Are X and Y independent? Explain c) Find P(XY < 1)
1-Calculate the pdf of y given that the pdf of x is given by pdf
x
2- cketch of pdf
iVen a random variable y- 5x of where x is another random variable. Calculate the p y given that the pdf of x is given by and drow pdf -X x20
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