# Statistics Chapter 5 - Discrete Random Variables

 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   Authorhonestkyle ID204182 Card SetStatistics Chapter 5 - Discrete Random Variables DescriptionDiscrete Random Variables Updated2013-04-11T16:16:12Z Show Answers