IF x and y and Z have Gamma distribution with the following p.d.f EX4 1- f(x)= X >0 25 Ts 0. O.w e-3y 35y4 2- fy)= Is , y >0 %3D 0. 0. W , Z>0 3- f(Z) = 6. 3. O.W Find u, and o?

Q: The regression equation for predicting the number of speeding tickets (Y) has bo equals 24.83 and b;…

A: We have given that  b0=24.83 , b1=-0.332 and X=12

Q: Choose the correct equation(s) for the function shown in the graph. Select all that apply. YA 2 ^

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: a. 24 T (¹7) r(5)r(7.25)

A:

Q: If z2=z then z=0,1 0 1 3 +i- 3 1 /3 z=0, 1 , ±1 2. 2. 2.

A: Question: If  z2=z then choose the correct option

Q: 3. Let y be distributed as N3 (μ, E) where (-²¹). 2 1 0 1 1 1 4. μ = Σ =|1 0 Find the distribution…

A: Objective of this question is that, find the distribution of Z , where Z given below Z=2Y1+3Y2-Y3

Q: Suppose the joint PMF of X and Y is P(X = x, Y = y) = axy ifx, y = {1, 2}, 0 Otherwise. 1. Find the…

A: Suppose the joint pdf of X and Y is: P(X=x, Y=y)=axy    if  x,y∈1, 2  0      Otherwise

Q: For which value of x is p = (1,0, x) orthogonal to ā q = (10,3, –2 )? %3D 5.

A: Solution:- step:1      ∗vectors are  orthogonal if the dot product of the  two vector          is…

Q: Problem 6: Let X~ U(0,1), and suppose Y|X = x ~ N(x, x²). Find the joint distribution of U = 妾, V =…

A: We start by finding the joint probability density function (PDF) of U and V: Let f(x) be the PDF of…

Q: S A test consists of 90 multiple choice questions, each with five possible answers, only one of…

A: For the given data Select the correct choice

Q: 3.6.14. Show that 1 1 + (r₁/r₂)W' where W has an F-distribution with parameters r₁ and r2, has a…

A:

Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

Q: Consider the 2-period ahead forecast is not true? O a. If the ARMA(p, q) is invertible, then y y O…

A: Explanation: (a) is not true because even if the ARMA(p, q) is invertible, the forecast y^T+2 is not…

Q: 7. Which is the graph of Y? X-NH = 3,0 = 0.4) Y-N(u = 3,0 = 1) w-N(u = 3,0 = 2.2) V-N( = 1,0 = 0.7)…

A: Given that Which is the graph of Y   A The red curve B. The blue curve C.The yellow curve D. The…

Q: n 35. The correlation coefficient between two variables X and Y is r=0.6. If Sx= 1.50, Sy 2, X- 10…

A:

Q: 1. Find the uncertainty equation for the following function f, assuming x, y, and z are variables.…

A:

Q: Suppose the data tan le descnbed by the equation R(E) - 0. 271t-a.76t + 67-83 where '4 is the amber…

A: We can use differential calculus to find the minimum and maximum of the function. First, find the…

Q: 1. Pdf of the Rayleigh distribution is s(2,0) = e/2* „x > 0 Mean

A:

Q: The waiting time for the tenth customer to arrive to arrive at a pharmacy in a certain medical…

A:

Q: 1. By using the following data compute the Karl Pearson's coeficient of corelation. EX=250, EXT =30,…

A:

Q: 2. If y varies inverscly as x and y = 0.8 when x = 1.8, find y when x = 4.8. d. 10.8 a. 0.1 b. 0.3…

A: y varies inversely as x So, y=k/x , where k=constant    Given y=0.8, when x=1.8  Using this we find…

Q: Q. 1.4 Let X, X2, X3, X, U(0,0) and let Y 1. We reject Ho if Y 2 c. Find the constant e so that a =…

A:

Q: 1.4 Let X1, X2, X3, X4 U(0,0) and let Y 1. We reject Ho if Y, 2 c. Find the constant c that a =…

A:

Q: if P ( CnX) = 0.6, PC' n x) =0,2, Then P(C)x)= a. 0.24 O b. 0.81 OC. 0.75 O d. 0.57

A:

Q: I need help with part c - covariance of xy.

A: Reviewing information, X & Y are r.v.s P(XiYi) X Y 0.8 100 300 0.2 300 100

Q: Consider the following joint frequency function. Y 6 0.14 0.13 0.24 0.17 0.04 0.12 0.05 0.11

A: Solution: 1. The given joint frequency function is

Q: .8.3 Suppose X is uniformly distributed over the interval [0, 3], and Y = (X− 1)². Find the CDF,…

A:

Q: pdf of Y = X². 5.1-4. Let X have the pdf f(r) df of Y = X? xe-2, 0 < x < x. %3D

A:

Q: x2 • X is a Rayleigh random variable such that f x(x) = transformation is made such that Y = X². xe…

A:

Q: 2. In coherent radio communications, the phase difference between the transmitter and the receiver,…

A:

Q: (5) If X(t) and Y(t) are uncorrelated and have constant mean values X and Y, then Sxy (@) - 2πX δω

A:

Q: 103 and o = 5. Determine the following Assume X is a normally distributed continuous variable with u…

A: Given Information:Mean, μ=103Standard Deviation, σ=5To find out Px≤88

Q: 6. Show that a gamma distribution with a > 1 has a relative maximum at x = (a- 1)ß. What happens…

A: Relative maximum =? For a gamma distribution for alpha&gt;1

Q: For part (a) attempt To Find the distribution of Y and that of 2Y/B would our solution involve for Y…

A:

Q: #1. X is a continuous random variable distributed Beta with a =2 and B=1. a. For a random sample of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A series of x and y data in the table below, is to be fitted by Where c is the mean value of x. Fit…

A:

Q: 11. A continous random variable X has pdf given by f(x) = c(1 – x)x², for 0 < x < 1, and 0 otherwis…

A:

Q: 3. Suppose X-N(0,1). Find the pdf of Y = ex. 4. Let X be a random variable with a density function…

A: We are given that and we have to find PDF of and we have to find PDF of

Q: 1 Find E(- X4

A: Let X have Gamma Distribution : The pdf of Gamma Distribution is given by f(X)=αλΓλl-λxxλ-1, λ&gt;0

Q: Example 5-18. Show that for the distribution: dF = y(1-) dx;-asxsa,0<p <1. %3D (r-1) a? T+1- 2p Hr-2…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!