. Define Y = a + bX, where a, b are constants with b > 0, and X follows a N(0, 1) distribution. (i) Find the pdf fy(y); (ii) Find the mgf My(t)

Q: Determine the value of b to make the PDF below valid given that a=1and c=2. Note that the PDF…

A: #Given: pdf of exponential distribution  f(x)=b*e^-c(x-a)  if a=1 , c=2  then to find value of a ?

Q: Suppose you are interested in uncovering the relationship between snowfall (in inches) in the month…

A: Given that  Using excel regression  Option 2 is the answer

Q: X is an exponential random such that fr(x) e. If the linear random variable transformation is made…

A:

Q: A red coin as a 1 on one side and a 3 on the other. A blue coin has a 0 and a 1. Let X represent the…

A: As given in problem: For red coin: 1,3 And for blue coin: 0,1 X= Total of both coins Y=Number…

Q: Is the following statement true or false? Let f(x) = e- if a 21 and f(x) = 0 if x < 1. Then f(x) is…

A: Given function is f(x) = e-xifx≥10ifx&lt;1

Q: 2. The graph of y = f(x) is shown in the picture. Find the average value of f(x) on the interval…

A:

Q: X has PDF ca? if – a < I < a 0 otherwise f(r) If a = 0.71, what is c?

A: X is random variable having probability density function ,  Then,  We will find the value of c = ?

Q: Q.69 Equation of the line normal to function f(x) = (x- 8)213 + 1 at P(0, 5) is

A: Given function is f(x) = (x-8)2/3 + 1

Q: Differentiate. 12 f(x) = 17 f'(x) =|

A:

Q: What is the average rate of change of the following function between x = 1 and 5? !! f (x) = x - 2x?…

A: given f(x) = x  3-2x 3- 5x+1 want to find the average rate of change of f between x=1 to 5

Q: a. Calculate the average value of the function g(x) = 2-3cos () for 0<x< 6. 4 Leave your answers in…

A:

Q: cumulative distribution function F(x) = 1- el-v,x > 1. Find the pdf of X %3D

A: The pdf of X can be obtained by differentiating the given cumulative distribution function.

Q: Exl. suppose the pdf of r.v. X is [x/8, 0<x<4 fx(x)= {*/8, 0<r<4 . Find the pdf of Y =-2X +8. 0,…

A: Y= - 2X + 8, we have dydx= - 2⇔ dx =-dy2and 0&lt;x&lt;4 ⇔ -8&lt;-2x&lt;0 ⇔0&lt;-2x+8&lt;8⇔…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of the question is to find the gradient of the tangent to the function S(t) = 5t + 7 +…

Q: and standard deviation 1. Let x be a sequence from -4 to 4 in increments of 0.1. Estimate the bias…

A: a 1 b 1.5   -4 -3.9 -3.8 -3.7 -3.6 -3.5 -3.4 -3.3 -3.2 -3.1 -3 -2.9…

Q: The precision of drone's GPS is limited with the speed of the drone. The height deriv from its…

A: The expectation of the cube of the drone's speed can be calculated as:

Q: A red coin as a 1 on one side and a 3 on the other. A blue coin has a 0 and a 1. Let X represent the…

A: 1. Assuming both the coins are unbiased, X\Y 0 1 Total 1 0.125 0.125 0.25 2 0.125 0.125 0.25…

Q: (d) (e) Using the marginal density of Y from (b), find the probability that the walk-up window is in…

A: Let X and Y have joint pdf

Q: Find the average rate of change of k( q) = 1. on the interval between q = 1 and q = 3. 2 q + 3

A: