Let X1, X2, ..., Xnbe a random sample from population having probability density function f(xi) =

1

√2πσ2

e−(

1

2σ

2 (xi−µ)2), −∞ < xi < ∞

(i) Using the characteristic function technique, determine the distribution of

Y =

n

X

i=1

Xi2

(ii) Using the moment generating function technique, determine the distribution of

the sample mean X

When the ball has traveled a distance of

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Find the actual dimensions of the box. the side length are in meters and integers. the surface area of the box is 104 m2 and volume of the box is 60 m3.