**Discrete Probability Distributions**

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This is part of open online course on managerial statistics. This lecture is on discrete distributions. The complete course and other videos are available at http://openonlinecourses.com/statistics

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### Discrete Probability Distributions :

Discrete Probability Distributions Farrokh Alemi Ph.D.### Discrete Probability Distributions:

Bernoulli Geometric Binomial Poisson Discrete Probability Distributions### Definitions:

Density function Definitions### Definitions:

Cumulative probability function Definitions### Definitions:

Definitions### Expected Value:

Expected Value### Expected Value:

Expected Value### Expected Value:

Expected Value### Expected Value:

Expected Value### Example:

Example### Example:

Example### Example:

Example### Example:

Example### Example:

Example### Example:

Example### Density & Cumulative Distributions:

Density & Cumulative Distributions### Typical Probability Density Functions:

Bernoulli Geometric Binomial Poisson Typical Probability Density Functions### Bernoulli Probability Density Function:

Mutually exclusive Bernoulli Probability Density Function### Bernoulli Probability Density Function:

Exhaustive Bernoulli Probability Density Function### Bernoulli Probability Density Function:

Bernoulli Probability Density Function### Bernoulli Probability Density Function:

Bernoulli Probability Density Function### Independent Bernoulli Trials:

Independent Bernoulli Trials### Independent Bernoulli Trials:

Independent Bernoulli Trials### Geometric Density Function:

Geometric Density Function### Geometric Density Function:

Geometric Density Function### Geometric Density Function:

Geometric Density Function### Do One:

No medication errors have occurred in the past 90 days. What is the maximum daily probability of medication error in our facility? Do One### Do One:

The time between patient falls was calculated to be 3 days, 60 days and 15 days. What is the daily probability of patient falls? Do One### Binomial Probability Distribution:

Number of k occurrences of the event in n independent trials Binomial Probability Distribution### Independent Bernoulli Trials:

Independent Bernoulli Trials### Independent Bernoulli Trials:

Independent Bernoulli Trials### Independent Bernoulli Trials:

Independent Bernoulli Trials### Independent Bernoulli Trials:

Independent Bernoulli Trials P x (1-P) x P### Binominal Probability Distribution:

Different combinations Success probabilities Failure probabilities Binominal Probability Distribution### Binomial Probability Distribution:

Binomial Probability Distribution### Binomial Probability Distribution:

Binomial Probability Distribution### Binomial Probability Distribution:

Binomial Probability Distribution### 6 Trials of Binomial p=1/2:

6 Trials of Binomial p=1/2### 6 Trials of Binomial p=1/2:

6 Trials of Binomial p=1/2### 6 Trials of Binomial p=0.05:

6 Trials of Binomial p=0.05### Example:

If the monthly probability of elopement is 0.05, how many patients will elope in 2 years? Example### Example:

If the monthly probability of elopement is 0.05, how many patients will elope in 2 years? Example### Example:

If the daily probability of death due to injury from a ventilation machine is 0.002, what is the probability of having 1 or more deaths in 30 days? Example### Example:

If the daily probability of death due to injury from a ventilation machine is 0.002, what is the probability of having 1 or more deaths in 30 days? Example### Do One:

Which is more likely, 2 patients failing to comply with medication orders in 15 days or 3 patients failing to comply with medication orders in 30 days. Do One### Poisson Density Function:

Large number of trials Small probabilities of occurrence Poisson Density Function### Poisson Density Function:

Poisson Density Function### Poisson Density Function:

Poisson Density Function### Take Home Lesson:

Repeated independent Bernoulli trials is the foundation of many distributions Take Home Lesson### Do One:

What is the probability of observing one or more security violations, when the daily probability of violations is .01 and we are monitoring the organization for 4 months. Do One### Do Another:

How many visits will it take to have at least one medication error if the estimated probability of medication error in a visit is 0.03? Do Another## View More Presentations

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