Statistics Assignment Help With Geometric Distribution
5.5 Geometric Distribution:
Suppose we have a series of independent trials or repetitions and on each repetition or trial the probability of success ‘p’ remains the same. Then the probability that there are x failures preceding the first success is given by qx p.
A random variable X is said to have a geometric distribution if it assumes only non-negative values and its probability mass function is given by
P(X=x) = 0, otherwise
5.5.1 Lack of Memory.
The geometric distribution is said to lack memory in a certain sense. Suppose an event E can occur at one of the times t=0,1,2,……and the occurrence(waiting) time X has a geometric distribution.
Thus, P(X=t) = qt .p; t = 0,1,2,…..
Suppose we know that the event E has not occurred before k, i.e., X ≥ k. Ley Y = X-k. Thus Y is the amount of additional time needed for E to occur. We can show that
P(Y=t/X ≥ k) = P9X = t) = pqt
Which implies that the additional time to wait has the same distribution as initial time to wait.
Since the distribution does not depend upon k, it, in a sense, ‘lacks memory’ of how much we shifted the time origin. If ‘B’ were waiting for the even E and is relieved by ‘C’ immediately before time k, then the waiting time distribution of ‘C’ is the same as that of ‘B’.
Email Based Homework Help in Geometric Distribution
To Schedule a Geometric Distribution tutoring session
To submit Geometric Distribution assignment click here.
Following are some of the topics in Theoretical Discrete Distributions in which we provide help:
Online Statistics Help | Statistics Math Help | Statistics probability help | Statistics help | College statistics help | Business statistics help | Elementary statistics help | Probability and statistics help | Statistics tutor | Statistic Homework help | Excel help | Mathematics help | Matlab help | MegaStat help | Minitab help | PHStat2 help | POM/QM help | R code and S-Plus help | SAS help | SPSS Help | Stata help | TDISK help | Tree Plan help | Online Tutoring
- Assignment Help
- Homework Help
- Writing Help
- Academic Writing Assistance
- Editing Services
- Plagiarism Checker Online
- Research Writing Help