Differential Operator

Attached deals with the orthogonality of the eigenfunctions of the self adjoint operator.

Green's functions for Bessel operators

Problem attached.

Green's function

Problem attached.

Categorical Testing for Senior level stats

Please help with the attached problem. I have trouble testing for independence.

Finding possible ways a social security number can be arranged.

1. A social security number has 9 digits. If numbers can be repeated and all numbers can be used, there would be 10^9 possible social security numbers. Find each of the following. a. How many possible social security numbers are there if numbers can be repeated but 0 cannot be used for the first digit?

Probabilities 1

Hello! I have four problems I am having trouble dealing with. I would be grateful for an explanation of any of them. Here is the first...

Probabilities 2

Please see the attached file for full problem description. --- a. Evaluate c so that g is a probability density. b. Find the marginal densities of X and Y. Are they independent, and why?

Probabilities 3

Please see the attached file for full problem description.

Probabilities 4

Please see the attached file for full problem description.

statistics

Airline company officials find that 86% of all people who make reservations show up for their flights. If an airline has accepted 240 reservations and if there are 213 available seats, find the probability that the airline will have a seat for each person who has reserved one and who shows up.