# Probability & Stats 2: Random Variable & Probability Distribution

## Video Lectures

Displaying all 53 video lectures.
 Lecture 1 Play 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 2 Play 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 3 Play 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 4 Play 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 5 Play Video Probability Distribution (Discrete)In this video I will define the probability distribution (discrete). Next video in series: http://youtu.be/zHIOF6Ip_i4 Lecture 6 Play 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 7 Play 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 8 Play Video Probability Distribution: HistogramIn this video I will show the probability distribution histogram. Next video in series: http://youtu.be/dBqAjZZcpqE Lecture 9 Play 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 10 Play 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 11 Play 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 12 Play 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 13 Play 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 14 Play 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 15 Play 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 16 Play 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 17 Play 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 18 Play 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 19 Play 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 20 Play 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 21 Play 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 22 Play 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 23 Play 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 24 Play 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 25 Play 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 26 Play 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 27 Play 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 28 Play 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 29 Play 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 30 Play Video Standard DeviationIn this video I will explain the standard deviation of random variables. Next video in series: http://youtu.be/XiTMW8-aXXM Lecture 31 Play 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 32 Play 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 33 Play 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 34 Play Video Normal DistributionIn this video I will explain what is a normal distribution. Next video in series: http://youtu.be/DXtEr7_J8I0 Lecture 35 Play Video Normal Distribution EquationIn this video I will closely examine the normal distribution equation. Next video in series: http://youtu.be/dmzHJ7mwBmU Lecture 36 Play Video Normal Distribution TableIn this video I will explain the normal distribution table. Nextt video in series: http://youtu.be/bpyC-yggXHc Lecture 37 Play Video Binomial DistributionIn this video I will explain a basic understanding of binomial distribution. Next video in series: http://youtu.be/uO166WiwFFg Lecture 38 Play 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 39 Play 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 40 Play Video Binomial Distribution: GraphingIn this video I will graph the binomial distribution. Next video in series: http://youtu.be/RNpLG7qVXuI Lecture 41 Play 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 42 Play 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 43 Play 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 44 Play Video VarianceIn this video I will find the variance of a binomial distribution. Next video in series: http://youtu.be/XWBCrgKkRnY Lecture 45 Play 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 46 Play 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 47 Play 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 48 Play 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 49 Play 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 50 Play 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 51 Play 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 52 Play 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 53 Play 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