Stochastic Exam 1 Word Scramble
|
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
| Question | Answer |
| P(AuB) | P(A) + P(B) |
| P(A|B) | P(AB)/P(B) |
| Independent events | P(AB) = P(A)*P(B) One probability does not effect the other |
| Mutually exclusive (disjoint) | Events cannot happen at the same time |
| If A and B are two mutually exclusive events, P(AnB) | 0 |
| If A and B are two mutually exclusive events, P(AuB) | P(A)+P(B) |
| If A and B are two mutually exclusive events, P(AnB^c) | P(A) |
| If A and B are not mutually exclusive, P(AuB) | P(A)+P(B)-P(AnB) |
| If A and B are not mutually exclusive, P(AnB^c) | P(A)-P(AnB) |
| How to show independence | P(A|B) = P(A) P(AnB) = P(A)*P(B) |
| IF A and B are independent P(AuB) | P(A) + P(B) - P(AB) |
| Expected value of a continuous variable | Integral from negative infinity to infinity (or on the defined values of the function) of xf(x) dx |
| Expected value of a Bernoulli variable | P |
| Expected value of a binomial variable | n*p |
| Expected value of a uniform distribution | (a+b)/2 |
| The CDF is | the integral of the PDF |
| The PDF is | the derivative of the CDf |
| Geometric distribution | p(n) = (1-p)^n-1 *p |
| Bernoulli distribution | p(1) = p p(0) = 1-p |
| Uniform distribution | 0 if x < a 1/(b-a) if a<x<b 0 if x>b |
| Variance | Ex^2 + (Ex)^2 |
| Ex^2 | Integral from negative infinity to infinity (or the defined interval) of x^2*f(x) dx |
| Ex | Expected value |
| Standard deviation | Sqrt of variance |
Created by:
slpause
Popular Math sets