Probability & Stats 2: Random Variable & Probability Distribution

Video Lectures

Displaying all 53 video lectures.
Lecture 1
Random Variable
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Random Variable
In this video I will define and gives an example of what is a random variable.

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http://youtu.be/aEB07VIIfKs
Lecture 2
Random Variable - Terminology Review
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Random Variable - Terminology Review
In this video I will define and reviews terminologies associated with random variables.

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Lecture 3
Random Variable - Ex. 1: Flipping Coins
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Random Variable - Ex. 1: Flipping Coins
In this video I will show an example (flipping a coin until heads appears) where X (random variable) equals infinity.

Next video in series:
http://youtu.be/sUFn2vQRNBM
Lecture 4
Types of Random Variable
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Types of Random Variable
In this video I will define 2 types of random variables (discrete and continuous variables).

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http://youtu.be/mtt3h54aSkk
Lecture 5
Probability Distribution (Discrete)
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Probability Distribution (Discrete)
In this video I will define the probability distribution (discrete).

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http://youtu.be/zHIOF6Ip_i4
Lecture 6
Probability Distribution (Discrete)
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Probability Distribution (Discrete)
In this video I will show the discrete probability distribution of the number of tosses required to get heads.

Next video in series:
http://youtu.be/RBTWgElcTKU
Lecture 7
Probability Distribution (Non-Discrete)
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Probability Distribution (Non-Discrete)
In this video I will define and show an example (how long will a light bulb last) of non-discrete probability distribution (function).

Next video in series:
http://youtu.be/L2TwSQk7_g4
Lecture 8
Probability Distribution: Histogram
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Probability Distribution: Histogram
In this video I will show the probability distribution histogram.

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http://youtu.be/dBqAjZZcpqE
Lecture 9
Probability Dist: Skewed Histogram
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Probability Dist: Skewed Histogram
In this video I will show an example of a skewed probability distribution histogram.

Next video in series:
http://youtu.be/NVZqbf6zhGA
Lecture 10
Continuous Random Variables
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Continuous Random Variables
In this video I will show a histogram of a continuous random variables.

Next video in series:
http://youtu.be/TzTNwpdc6FE
Lecture 11
The Mean Average
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The Mean Average
In this video I will defines and shows an example (tossing 2 dice) of the mean (or average).

Next video in series:
http://youtu.be/d2oSMYlbQSo
Lecture 12
The Expected Value Ex. 1
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The Expected Value Ex. 1
In this video I will define expected value of a random variable and find the expected value of the number of customers standing in line in a grocery store.

Next video in series:
http://youtu.be/k2l3BCd6Xjk
Lecture 13
The Expected Value Ex. 2
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The Expected Value Ex. 2
In this video I will find the expected value of tossing 2 dice.

Next video in series:
http://youtu.be/YgXvOotb9lA
Lecture 14
The Expected Value Ex. 3
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The Expected Value Ex. 3
In this video I will find the expected value of a lottery ticket.

Next video in series:
https://youtu.be/Cqj8bUZXBnk
Lecture 15
Expected Value of Roulette
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Expected Value of Roulette
In this video I will find the expected value of placing bets on a roulette wheel.

Next video in series:
http://youtu.be/FgcjBZyCjzo
Lecture 16
Odds of Roulette
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Odds of Roulette
In this video I will find the odds in favor of and odds against in a game of roulette.

Next video in series:
http://youtu.be/k5Da9CV7c_w
Lecture 17
Odds in Favor & Against Ex. 1
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Odds in Favor & Against Ex. 1
In this video I will find the probability of an event occurring if the odds in favor is 2/3.

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http://youtu.be/ypZIEg-yoFw
Lecture 18
Odds in Favor & Against Ex. 2
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Odds in Favor & Against Ex. 2
In this video I will find the probability of an event occurring if the odds against is 4/5.

Next video in series:
http://youtu.be/l_3kU4kIPWs
Lecture 19
Odds in Favor & Against Ex. 3
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Odds in Favor & Against Ex. 3
In this video I will find the odds in favor and against if the probability of an event occurring is 0.8.

Next video in series:
http://youtu.be/8qNU-WunQ-4
Lecture 20
Odds in Favor & Against Ex. 4
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Odds in Favor & Against Ex. 4
In this video I will find the probability of winning on a slot machine if the odds against is 1.1 to 1.

Next video in series:
http://youtu.be/Z7pOQkouFjs
Lecture 21
Mean, Median, Mode
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Mean, Median, Mode
In this video I will explain and give examples of a mean, median, and mode using commuting times from work to home.Mean

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http://youtu.be/9qNt13lLq4w
Lecture 22
Mean, Median, Mode Ex. 2
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Mean, Median, Mode Ex. 2
In this video I will find the mean, median, and mode from a sample of (even #) data points.

Next video in series:
http://youtu.be/UmuiykCrg0o
Lecture 23
Mean, Median, Mode Ex. 3
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Mean, Median, Mode Ex. 3
In this video I will find the mean, median, and mode from a sample of (odd #) data points of 11 home prices.

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http://youtu.be/n7yMaXAhicc
Lecture 24
Mean, Median, Mode Ex. 4
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Mean, Median, Mode Ex. 4
In this video I will find the mean, median, and mode of the wages of 340 employees.

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http://youtu.be/OOLYgTMP0mY
Lecture 25
Expected Value - Example 1
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Expected Value - Example 1
In this video I will find the expected value of a $50,000 life insurance policy if the probability of living 1 more year is 0.995.

Next video in series:
http://youtu.be/2dw-HG9EgJ4
Lecture 26
Expected Value - Example 2
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Expected Value - Example 2
In this video I will find the expected value of the premium for a home insurance company with 1,000,000 policies with an average home price of $200,000.

Next video in series:
http://youtu.be/wopGBIPmq28
Lecture 27
Expected Value - Example 3
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Expected Value - Example 3
In this video I will find the expected value of a selling agent with a commission of 3% with an average home price of $150,000.

Next video in series:
http://youtu.be/jiN-03T2nHM
Lecture 28
Variance Explained
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Variance Explained
In this video I will explains and shows an example of the variance from a sample of equally likely values.

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http://youtu.be/FzHqjh2pnsw
Lecture 29
Variance (Probability Distribution)
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Variance (Probability Distribution)
In this video I will find the variance from a sample of values with probability distributions.

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http://youtu.be/cVK8U1lAf7k
Lecture 30
Standard Deviation
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Standard Deviation
In this video I will explain the standard deviation of random variables.

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http://youtu.be/XiTMW8-aXXM
Lecture 31
Standard Deviation - 2
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Standard Deviation - 2
In this video I will find the population standard deviation from a sample of 20 values of the mileage of car tires.

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http://youtu.be/cY14G3wJmwg
Lecture 32
Standard Deviation - 3
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Standard Deviation - 3
In this video I will find the standard deviation from a sample of very large population of values of the actual number of ounces of potato chips in a 9.8 ounce bag.

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http://youtu.be/WMU-kXDmD38
Lecture 33
Standard Deviation - 4
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Standard Deviation - 4
In this video I will apply the standard deviation of a random variable from a tire company to determine which tires are better.

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http://youtu.be/6_Yj9EJTWkc
Lecture 34
Normal Distribution
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Normal Distribution
In this video I will explain what is a normal distribution.

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http://youtu.be/DXtEr7_J8I0
Lecture 35
Normal Distribution Equation
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Normal Distribution Equation
In this video I will closely examine the normal distribution equation.

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Lecture 36
Normal Distribution Table
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Normal Distribution Table
In this video I will explain the normal distribution table.

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http://youtu.be/bpyC-yggXHc
Lecture 37
Binomial Distribution
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Binomial Distribution
In this video I will explain a basic understanding of binomial distribution.

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http://youtu.be/uO166WiwFFg
Lecture 38
Binomial Distribution: General Case
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Binomial Distribution: General Case
In this video I will explain the general case of the binomial distribution.

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http://youtu.be/avcOQ9TWWBs
Lecture 39
Binomial Distribution: Example
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Binomial Distribution: Example
In this video I will finds the probability of 4, all 10 people, and at least 1 person buying books in a book store.

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http://youtu.be/yvdXEBkqh4Q
Lecture 40
Binomial Distribution: Graphing
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Binomial Distribution: Graphing
In this video I will graph the binomial distribution.

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http://youtu.be/RNpLG7qVXuI
Lecture 41
Using Binomial Expansion
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Using Binomial Expansion
In this video I will graph the binomial distribution using the binomial expansion to find the coefficients.

Next video in series:
http://youtu.be/B3bRFhshbpE
Lecture 42
Non-Symmetric Binomial Dist.
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Non-Symmetric Binomial Dist.
In this video I will graph a non-symmetric binomial distribution.

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http://youtu.be/0FIKgUwezxE
Lecture 43
The Expected Value
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The Expected Value
In this video I will find the expected value of a binomial distribution.

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http://youtu.be/zup2EhXJSsk
Lecture 44
Variance
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Variance
In this video I will find the variance of a binomial distribution.

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http://youtu.be/XWBCrgKkRnY
Lecture 45
Binomial Distribution
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Binomial Distribution
In this video I will find the standard deviation of a binomial distribution.

Next video in series:
http://youtu.be/qdHAvUDpk-M
Lecture 46
Standard Deviation n=large #
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Standard Deviation n=large #
In this video I will find the binomial distribution when n is a large number.

Next video in series:
http://youtu.be/nt5babLSHco
Lecture 47
Standard Deviation n=large #
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Standard Deviation n=large #
In this video I will find the binomial distribution of a sample of points where n is a large number.

Next video in series:
http://youtu.be/SOYsa2TU4II
Lecture 48
Calculating the Table
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Calculating the Table
In this video I will shows how calculate the table of the areas of the binomial distribution.

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http://youtu.be/m_D6ffGzvtE
Lecture 49
Binomial Dist. - Approx.
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Binomial Dist. - Approx.
In this video I will find the binomial distribution and probability using the approximate technique.

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http://youtu.be/W7Ud3zRv9g0
Lecture 50
Binomial Dist. - Approx. 2
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Binomial Dist. - Approx. 2
In this video I will find P=?, x is grater than 70, where expected value =100 and standard deviation = 20.

Next video in series:
http://youtu.be/1nnV5T8i9SY
Lecture 51
Binomial Dist. - Approx. 3
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Binomial Dist. - Approx. 3
In this video I will find P=?, x is between 75 and 110, where expected value =100 and standard deviation = 20.

Next video in series:
http://youtu.be/bQuMLwPEBaQ
Lecture 52
Binomial Dist. - Approx. 4
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Binomial Dist. - Approx. 4
In this video I will find the probability that cars would be driving faster than 55 mph.

Next video in series:
http://youtu.be/q3gJJuBZunw
Lecture 53
Binomial Dist. - Approx. 5
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Binomial Dist. - Approx. 5
In this video I will find the probability that cars would be driving faster than 55 mph.

First video in series:
https://youtu.be/bQ0ad5YMhzk