Find , , if a random variable is given by its density function , such that
f(x)=0, if x≤0
f(x)=3/8 x^2, if 0f(x)=0, if x>2

Let be given by its distribution function F(x), such that
F(x) = 0 if x ≤ 0
F(x) = x^2/4 if 0F(x) =1 if x>2

Graph the distribution function
Graph the density function
Find , ,

A random variable is distributed normally with E(X) = 8 and σ(X) =3 . Find P(9≤X<11).

The distribution of the width of a standard piece of computer paper is normal with an expectation of 8.5 inches and the standard deviation of 0.2 inch.
Find the probability that the width of any given piece of computer paper is between 8.40 and 8.55.
Find the probability that the width of any given piece of computer paper is less than 8.35.
Find the probability that the width of any given piece of computer paper is greater than 8.6.

The density function of a random variable is given by

f(x)= 1/(7√2π) e^(-?(x+3.6)?^2/98)

Find its (a) math expectation, (b) variance and (c) distribution function.

Find the density function of a normally distributed random variable , if E(X) = 7.8 and σ(X) = 4.1

It's known that a random variable is distributed normally with E(X) = 3

and it's also known that p(0≤X≤1)+p(5≤X≤6) = 0.6. Find p(p(5≤X≤6).

Please indicate real-life situations to which geometric distribution could be applied, and explain why. This discussion is graded. Your posts are not editable

Please describe real-life situations to which the normal distribution could be applied. Explain why. How does a normal distribution differ from one which is not? Which aspects of your situation might be altered? This discussion is graded. Your posts are not editable.