# Statistics Chapter 5 - Discrete Random Variables

 .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Random Variable Always numericalRepresents the outcome of an experimentCan be discrete or continuous Are the number of discrete random values in an experiment infinite or finite? Finite How long can a sequence be for a set of discrete random values? Infinite Are the number of continuous random values in an experiment infinite or finite? infinite What is the notation for a probability in a Discrete Probability Distribution? f(x) Why aren't values in a graphical probability distribution connected like a histogram? The values are discrete and there are no values in between What is the expected value of a discrete random value? Mean What is the mean of a discrete random variable? The value of x expected to occur in the long run and on average What is the Expected Value equation? What is the Variance of a Discrete RV equation? What is the Variance of a Discrete Random Variable (RV)? Average squared deviations from the expected value What are examples of binomial results? 0 or 1Pass or Failtrue or falsesuccess or failure Jakob Bernoulli was a contributor of what? Calculus Jakob Bernoulli is known for what? Ars conjectandi - The art of conjectureFirst substantial treatise on probability What is ars conjectandi? Contained theory of permutation and combination  binomial theorem, multinomial theorum What are the 4 properties of a binomial experiment? There are n identical trials in a seriesEach trial has two mutually exclusive outcomes (heat/tails, success/failure)Probability of success p, is constant from trial to trialOutcomes are independent In a Binomial Distribution, what is our interest? The number of successes occurring in the n trials of a binomial experiment If you toss a coin 10 times, what is the probability of getting exactly 5 heads? Let x = number of successes in n trials x = 5, n = 10, p = 0.5    What is the binomial probability function? What does this part mean in the binomial probability function? Number of outcomes providing exactly x successes in n trials What does this part mean in the binomial probability function? Probability of a particular sequence of outcomes with x successes in n trials What can you say about a binomial distribution with the following variables? n = 5 p = 0.1 The highest success rate would be 0The lowest success rate would be 5The graph is skewed right What can you say about a binomial distribution with the following variables? n = 5 p = 0.5 The highest success values would be 2 and 3 (midpoint between 0 and 5)The lowest success values would be 0 and 5The graph is normally distributed What can you say about a binomial distribution with the following variables? n = 5 p = 0.9 The success value would be 5The lowest success value would be 0The graph is skewed left What can you say about a binomial distribution with the following variables? n = 20 p = 0.2 The highest success values are 3 and 4The lowest success values are 11 - 20The graph is highly skewed right What can you say about a binomial distribution with the following variables? n = 50 p = 0.5 The highest success values would be around 25The lowest success values would be going out from that towards the edgesThe graph is a normal distribution What is the mean equation? (Expected value) What is the variance equation? What is the standard deviation equation? If you toss a coin 100 times, what is the expected value? n = 100, p = 0.5  If you toss a coin 100 times, what is the standard deviation? n = 100, p = 0.5    Of all small businesses, 27% are women-owned. In a sample of 200 small businesses, how many would you expect to be female-owned? n = 200, p = 0.27  Of all small businesses, 27% are women-owned. if 8 small businesses were randomly selected, what is the probability that none are female-owned? n = 8, p = 0.27, x = 0   Of all small businesses, 27% are women-owned. If 8 small businesses were randomly selected, what is the probability that half are female-owned? n = 8, p = 0.27, x = 4   .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Authorhonestkyle ID204182 Card SetStatistics Chapter 5 - Discrete Random Variables DescriptionDiscrete Random Variables Updated2013-04-11T16:16:12Z Show Answers