There are 100 men on a plane. Let x. be the weight (in pounds) of the i th man on the plane. Suppose that the X, 's are i.i.d.and E(X)==170, (X₁)=o=30 Find the probability that the total weight of the men on the plane exceeds 18,000 pounds.

Q: 2) Let the joint probability function of X & Y be defined by Pxx (x, y) = x= 1,2 y = 1,2,3 Find…

A: The joint probability mass function of x and y is, P(x,y)=x+y21;x=1,2 and y=1,2,3 x=1, y=1…

Q: e solutin for (c), it keeps giving me an X saying it's wrong

A: Sample 1 Sample 2 Sample Size 40 40 Mean 11.5 6.8 Standard Deviation 7.4 2.9 s =…

Q: What is the value if the constant c for p(x) to qualify as a probability mass function?…

A: Solution: From the given information, the probability mass function of X is

Q: A random variable X has a pdf   f(x) = { kex, x<0             0   , otherwise }   Determine the…

A: K=? V(X)=?

Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

A:

Q: . Let Y be a continuous random variable where f(y) F(y)? (a) Y 18 Y 15 Y-3 18 y+3 (b) (c) (d) 18 (e)…

A: The random variable Y is a continuous random variable with pdf f(y) = 1/18 ; -3 ≤ y ≤ 15

Q: 3.155 Let m(t) = (1/6)e' + (2/6)e² + (3/6)e. Find the following: a E(Y) V (Y) The distribution of Y…

A:

Q: Prove that the variance of b, V(b) = o²(X'X)−¹

A: Given that We have to show that Var(b)=σ2(X'X)-1

Q: Let X1, X2 be independent Exp(1) random variables. Let U = X1 + X2, V = X1– X2. (a) What is the…

A:

Q: Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)

A: Obtain the mean and standard deviation for the uniform continuous model U(1,13). Obtain the mean of…

Q: a JPDF f(x,y) = 8/81 xy for 0<x<3 and 0<y<x. Let V(X) = 5.76 and V(Y) = 2.56 Find the correlation…

A: Solution:f(x,y) = 818​  where, 0 &lt; y &lt; x  &amp; 0 &lt; x &lt; 3 So,E[xy] =…

Q: Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x +…

A: We know that the vertex form of a parabola is y= a(x−h)2  +k  where (h,k) is the vertex.  Thus, for…

Q: Pb (Z = z) = B (8.25z - z2) with z E {1, 2, ......, 5}. Find the mean and variance of Z using…

A: Solution

Q: P(Y'|D') =D (s

A: HERE use given Contingency table and baye's Rule