The value of the integral I =is required in the development of the normal probability density function.tdx(a) Use polar coordinates to evaluate the improper integral.00dxdA12 -(b) Use the result of part (a) to determine I.I =

I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Answered: The value of the integral I= 3 dx is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 22E

See similar textbooks

Similar questions

What is the probability density function (PDF) of cos (2pi*t)?
Suppose that X is a normal random variable with parameters u = 5 and o = 1. Define Y = X2 – 10X + 25. Then what is the probability density function of Y (fy(y)). Probability Theory
Figure I shows the piecewise function (I), (II), (III) and (IV) for cumulative distribution function F(x) for continuous random variable. F(x) (6. 1) IV III II (4.0.8333) (0.0.1667) Figure I Construct the probability density function fix). Should one of the piecewise functions (IV) is not constant, explain the changes.
Exp(2), compute the If X is an exponential random variable with parameter A = 2, i.e., X ~ probability density function of the random variable Y = In X.
Normal distribution. The moment generating function of a random variable U is M(t) = (1 - 8t)^-7. Find: i)Probability density function, ii)Mean, iii)Variance of U.
* The waiting time T (in hours) between each SMS you receive is random with the density function. f(t)=1,8e1,8t , t> 0 1- Find the expected time between SMS and find the corresponding variance.
Pb(Z = z) = B (8.25z - z2) with z E {1, 2, ......., 5}. What value must B be to ensure the probability mass function for Z, equation(1), is valid? I asked this question before but the experts writting was difficult to read. Can you please answer with clear writting. Thanks.
The value of the integral I = -x2/3 is required in the development of the normal probability density function.t xp (a) Use polar coordinates to evaluate the improper integral. -x²/3 dx dy e -00 - LL + y2)/3 dA 1? = (b) Use the result of part (a) to determine I. I =
Pb (Z = z) = B (8.25z - z2) with z E {1, 2, ......, 5}. Find the mean and variance of Z using the probability mass function equation above.
Answer all three questions in this section 2. Let V and W be two random variables with joint probability density function given by fvw (v,w) = aw exp(-dv +(8-A)w²), w>0, v> w², where A, & are positive constants. (a) Find the value of a. (b) Consider the transformation X = WP, Y=V_W². Find the joint density of X and Y. Hence show that X and Y are independent exponential random variables. (c) State the distribution of AX + SY.
A random variable 8-U(-). find the probability density function of the random variable Y = tan 8
8) Consider the function f(x) = (3x-d)/26 x=1,2,3,4 a) find the constant d, if f(x) is a valid probability density function (pdf)of the random variable X b) find the probability function (list in tabular form) c) find mean and variance of X d) find the moment generating function (mgf)of X e) using the mgf (found in part d) find the mean and standard deviation 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,

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,

SEE MORE TEXTBOOKS

The value of the integral I= 3 dx is required in the development of the normal probability density function.+ (a) Use polar coordinates to evaluate the improper integral. 12 dx - LL- Zy3 da (b) Use the result of part (a) to determine I.