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Advanced LABVIEW EE 2303

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**Overview Of Presentation**

Introduction to Probability Keywords in Probability Sample Problems in Probability Overview of Experiment Summary

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What is Probability??? Probability is a measure of “how likely an event is to happen”. Mathematical Expression: Number of Favorable outcomes Total Number of possible outcomes

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**Example Tossing a coin: Probability of getting an HEAD= ½**

Probability of getting a TAIL=1/2

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**KEYWORDS IN PROBABILITY**

An experiment is any process that generates well-defined outcomes. The sample space for an experiment is the set of all experimental outcomes. An “Event” is an element of the sample space, any one particular outcome.

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**Tossing a Die Events: Sample space: S ={1, 2, 3, 4, 5, 6} S 1 2 5 6 3**

Some graphic screen captures from Seeing Statistics ® Some images © 2001-(current year)

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**FACTS ABOUT PROBABILITY**

Permissible values for Probability: 0- 1 Probability of an Impossible Event = 0 Probability of Sure Event = 1 Probability of Event not happening = 1 – probability (event happening) Probability (“Event happening at least once) = 1- probability ( event not happening)

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**Sample Problems Experiment: Rolling a die**

Sample Space: S = {1, 2, 3, 4, 5, 6} Probabilities: Each Event has a 1/6 chance of occurring.

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Example Toss a fair coin twice. What is the probability of observing at least one head? HH HT TH TT ANSWER : Probability (at least 1 head) = 3/4 Some graphic screen captures from Seeing Statistics ® Some images © 2001-(current year)

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Hints for Pre lab…. When experiment is performed “n times”… (Probability of event happening)n.. [note: for event to occur successively] Probability of Event not happening = 1 – probability (event happening) Probability of Event happening at least once = 1- prob (event not happening)

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**Working in the Diagram Draw a For Loop Draw a Case structure**

Functions Structures For Loop Draw a Case structure Functions Structures Case

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**Adding More to Diagram Add a shift register Add 2 addition boxes**

Operate Value tool Right Click on edge of For Loop Select Add Register Add 2 addition boxes Add division box

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**Adding More to Diagram Add Random Number Add Round to Nearest**

Functions Numeric Random (0-1) Add Round to Nearest Functions Numeric Round to Nearest

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**Adding More to Diagram Add Equal box Add Wait box**

Functions Comparison Equal? Add Wait box Functions Time & Delay Wait (ms)

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**Need Some Constants Add constant of value 100 to Wait (ms)**

Add constants of value 1 to Both additions Shift Register Add constant of value 0 Equal box

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**Need Some Wire Wire the circuit up as shown Change the case to “True”**

Wire the tunnels through the Case structure Of “True” case

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**Run the Simulation Return to Front Panel Change to Operate Value Tool**

Choose a number of trials “Run simulation once”

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Summary Probability… Overview of Experiment.. Hints to Pre lab…

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