Q6. Please answer all parts Let X have a uniform distribution on the interval (0,2). Given X = x, let Y have a(conditional) uniform distribution on the interval (0, 0.5x).(a) Write down the conditional pdf of Y given that X = x. Be sure to include thesupport of Y.(b) Find E(Y|x) and E(Y).(c) Determine f(x, y), the joint pdf of X and Y.(d) Find fy (y), the marginal pdf of Y.(e) Find g(xly), the conditional pdf of X given Y = y.

Answered: Image /qna-images/answer/91d33e1d-5266-464c-909c-a2a894c446c7.jpg

Answered: Let A have a uniform distribution on…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
(3) Let X = b >(8,-) find E(5+6x) and distribution function.
Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1. Calculate the mean(x) mean (y) variance (x) variance(y)
Let X be a random variable with pdf f(x) = kx*,-1
Help please: Let X1, X2, . . . , Xn be i.i.d. from a uniform distribution over the interval (0, 1). Let Y = max{X1, X2, . . . , Xn}. Show that the PDF of Y has a Beta distribution.
Assume that X1, X2, X3 ∼ Exp (λ) are independent and evenly distributed with the distribution Exp (λ = 1). (a) Determine the distribution of Y = X1 + X2 + X3 and state its PDF f (y). (b) Determine the distribution of U = 2Y
Let X ~ U[0,1] and Y = -βln(1-X). What is the distribution of Y? Justify.
Find the marginal PDFs of X and Y.
(26) Let X b(8,- Var-x) and distribution function.
Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1. Find the marginal fx(x) and fy(y). Show if f(x,y) dependent. Compute mean(x), mean(y), variance (x) and variance(y)
Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS