Modeling and Simulation (Geometric Distribution) Q1) At Colombia University, each student has a probability of 0.8 to pass the simulation exam. Denote by X the random variable that represents the number of times a student must take the simulation exam in order to pass it (assume independent outcomes for each trial, and that probability of success remains the same).  a) What is the average number of times a student has to take the exam?

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Modeling and Simulation

(Geometric Distribution)

Q1) At Colombia University, each student has a probability of 0.8 to pass the simulation exam. Denote by X the random variable that represents the number of times a student must take the simulation exam in order to pass it (assume independent outcomes for each trial, and that probability of success remains the same). 

a) What is the average number of times a student has to take the exam? 

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Random variables are of 2 types, discrete and continuous. Based on this classification of random variables, probability distributions are also of 2 typed, discrete and continuous.

Geometric distribution is a discrete probability distribution. The probability mass function of the geometric distribution is given below.

P(X=k)=(1-p)k-1·p   ;k=1,2,3...

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