Term
|
Definition
| a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data. |
|
|
Term
|
Definition
For a distribution of measurement that is approximately normal (bell shaped). it follows that the interval with end points:
μ±σ contains approximately 68% of the measurements
μ±2σ contains approximately 95% of the measurements
μ±3σ contains almost all of the measurements (99.9%) |
|
|
Term
|
Definition
| a measure of one's belief in the occurrence of a future event. |
|
|
Term
|
Definition
A, given that an event B has occurred, is equal to
P(A|B) = P(A∩B)/P(B) |
|
|
Term
|
Definition
Two events A and B are said to be ________ if any one of the following holds:
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A)P(B) |
|
|
Term
| Expected value of Y for a discrete random variable |
|
Definition
Let Y be a discrete random variable with the probability function p(y). Then the expected value of Y, E(Y), is defined to be
E(Y) = Σyp(Y). |
|
|
Term
| Variance of Y for a Discrete Random Variable |
|
Definition
if Y is a random variable with mean E(Y) = μ, the variance of a random variable Y is defined to be the expected value of (Y-μ)^2. That is,
V(Y) = E[(Y-μ)^2].
The standard deviation of Y is the positive square root of V(Y). |
|
|
Term
|
Definition
| A random variable Y is said to have a ______ ______ based on n trials with success probability p if and only if
(n)
p(y) = (y)(p^y)(q^(n-y)), y=0,1,2,...,n
and 0 |
|
|
Term
|
Definition
| A random variable Y is said to have a ______ _______ if and only if
p(y)=q^(y-1)p, y=1,2,3..., 0 |
|
|
Term
|
Definition
a random variable Y is said to have a ______ _______ distribution if and only if
p(y) = [(λ^y)/(y!)][e^(-λ)] y=0,1,2...,λ>0 |
|
|
