# Probability & Stats 2: Random Variable & Probability Distribution

## Video Lectures

Displaying all 53 video lectures.

Lecture 1Play Video |
Random VariableIn this video I will define and gives an example of what is a random variable. Next video in series: http://youtu.be/aEB07VIIfKs |

Lecture 2Play Video |
Random Variable - Terminology ReviewIn this video I will define and reviews terminologies associated with random variables. Next video in series: http://youtu.be/ebP7x2zviBI |

Lecture 3Play Video |
Random Variable - Ex. 1: Flipping CoinsIn 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 4Play Video |
Types of Random VariableIn this video I will define 2 types of random variables (discrete and continuous variables). Next video in series: http://youtu.be/mtt3h54aSkk |

Lecture 5Play Video |
Probability Distribution (Discrete)In this video I will define the probability distribution (discrete). Next video in series: http://youtu.be/zHIOF6Ip_i4 |

Lecture 6Play Video |
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 7Play Video |
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 8Play Video |
Probability Distribution: HistogramIn this video I will show the probability distribution histogram. Next video in series: http://youtu.be/dBqAjZZcpqE |

Lecture 9Play Video |
Probability Dist: Skewed HistogramIn this video I will show an example of a skewed probability distribution histogram. Next video in series: http://youtu.be/NVZqbf6zhGA |

Lecture 10Play Video |
Continuous Random VariablesIn this video I will show a histogram of a continuous random variables. Next video in series: http://youtu.be/TzTNwpdc6FE |

Lecture 11Play Video |
The Mean AverageIn 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 12Play Video |
The Expected Value Ex. 1In 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 13Play Video |
The Expected Value Ex. 2In this video I will find the expected value of tossing 2 dice. Next video in series: http://youtu.be/YgXvOotb9lA |

Lecture 14Play Video |
The Expected Value Ex. 3In this video I will find the expected value of a lottery ticket. Next video in series: https://youtu.be/Cqj8bUZXBnk |

Lecture 15Play Video |
Expected Value of RouletteIn this video I will find the expected value of placing bets on a roulette wheel. Next video in series: http://youtu.be/FgcjBZyCjzo |

Lecture 16Play Video |
Odds of RouletteIn 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 17Play Video |
Odds in Favor & Against Ex. 1In this video I will find the probability of an event occurring if the odds in favor is 2/3. Next video in series: http://youtu.be/ypZIEg-yoFw |

Lecture 18Play Video |
Odds in Favor & Against Ex. 2In 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 19Play Video |
Odds in Favor & Against Ex. 3In 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 20Play Video |
Odds in Favor & Against Ex. 4In 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 21Play Video |
Mean, Median, ModeIn this video I will explain and give examples of a mean, median, and mode using commuting times from work to home.Mean Next video in series: http://youtu.be/9qNt13lLq4w |

Lecture 22Play Video |
Mean, Median, Mode Ex. 2In 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 23Play Video |
Mean, Median, Mode Ex. 3In this video I will find the mean, median, and mode from a sample of (odd #) data points of 11 home prices. Next video in series: http://youtu.be/n7yMaXAhicc |

Lecture 24Play Video |
Mean, Median, Mode Ex. 4In this video I will find the mean, median, and mode of the wages of 340 employees. Next video in series: http://youtu.be/OOLYgTMP0mY |

Lecture 25Play Video |
Expected Value - Example 1In 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 26Play Video |
Expected Value - Example 2In 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 27Play Video |
Expected Value - Example 3In 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 28Play Video |
Variance ExplainedIn this video I will explains and shows an example of the variance from a sample of equally likely values. Next video in series: http://youtu.be/FzHqjh2pnsw |

Lecture 29Play Video |
Variance (Probability Distribution)In this video I will find the variance from a sample of values with probability distributions. Next video in series: http://youtu.be/cVK8U1lAf7k |

Lecture 30Play Video |
Standard DeviationIn this video I will explain the standard deviation of random variables. Next video in series: http://youtu.be/XiTMW8-aXXM |

Lecture 31Play Video |
Standard Deviation - 2In this video I will find the population standard deviation from a sample of 20 values of the mileage of car tires. Next video in series: http://youtu.be/cY14G3wJmwg |

Lecture 32Play Video |
Standard Deviation - 3In 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. Next video in series: http://youtu.be/WMU-kXDmD38 |

Lecture 33Play Video |
Standard Deviation - 4In this video I will apply the standard deviation of a random variable from a tire company to determine which tires are better. Next video in series: http://youtu.be/6_Yj9EJTWkc |

Lecture 34Play Video |
Normal DistributionIn this video I will explain what is a normal distribution. Next video in series: http://youtu.be/DXtEr7_J8I0 |

Lecture 35Play Video |
Normal Distribution EquationIn this video I will closely examine the normal distribution equation. Next video in series: http://youtu.be/dmzHJ7mwBmU |

Lecture 36Play Video |
Normal Distribution TableIn this video I will explain the normal distribution table. Nextt video in series: http://youtu.be/bpyC-yggXHc |

Lecture 37Play Video |
Binomial DistributionIn this video I will explain a basic understanding of binomial distribution. Next video in series: http://youtu.be/uO166WiwFFg |

Lecture 38Play Video |
Binomial Distribution: General CaseIn this video I will explain the general case of the binomial distribution. Next video in series: http://youtu.be/avcOQ9TWWBs |

Lecture 39Play Video |
Binomial Distribution: ExampleIn this video I will finds the probability of 4, all 10 people, and at least 1 person buying books in a book store. Next video in series: http://youtu.be/yvdXEBkqh4Q |

Lecture 40Play Video |
Binomial Distribution: GraphingIn this video I will graph the binomial distribution. Next video in series: http://youtu.be/RNpLG7qVXuI |

Lecture 41Play Video |
Using Binomial ExpansionIn 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 42Play Video |
Non-Symmetric Binomial Dist.In this video I will graph a non-symmetric binomial distribution. Next video in series: http://youtu.be/0FIKgUwezxE |

Lecture 43Play Video |
The Expected ValueIn this video I will find the expected value of a binomial distribution. Next video in series: http://youtu.be/zup2EhXJSsk |

Lecture 44Play Video |
VarianceIn this video I will find the variance of a binomial distribution. Next video in series: http://youtu.be/XWBCrgKkRnY |

Lecture 45Play Video |
Binomial DistributionIn this video I will find the standard deviation of a binomial distribution. Next video in series: http://youtu.be/qdHAvUDpk-M |

Lecture 46Play Video |
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 47Play Video |
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 48Play Video |
Calculating the TableIn this video I will shows how calculate the table of the areas of the binomial distribution. Next video in series: http://youtu.be/m_D6ffGzvtE |

Lecture 49Play Video |
Binomial Dist. - Approx.In this video I will find the binomial distribution and probability using the approximate technique. Next video in series: http://youtu.be/W7Ud3zRv9g0 |

Lecture 50Play Video |
Binomial Dist. - Approx. 2In 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 51Play Video |
Binomial Dist. - Approx. 3In 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 52Play Video |
Binomial Dist. - Approx. 4In 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 53Play Video |
Binomial Dist. - Approx. 5In this video I will find the probability that cars would be driving faster than 55 mph. First video in series: https://youtu.be/bQ0ad5YMhzk |