BAED-STAT2112 Statistics and Probability Determine what type of random variable is represented in the given scenario. “The amount of time represents a task.” Continuous random variables The normal curve is often called Gaussian distribution. -True These are the most important characteristics of any probability distribution. -Mean and standard deviation Determine what type of random variable is represented in the given scenario. “Number of television per household” -Discrete random variables It is useful for describing the number of events that will occur during a specific interval of time or in a specific distance, area, or volume. -Poisson Experiment The normal distribution is unimodal. -True This is a complete description of all the possible values of the random variable, along with their associated probabilities. -Probability Distribution When you roll the two dice, what is the probability that the sum is 9? -1/9 These are random variables that can take on any of the countless number of values in an interval. -Continuous random variables DOLE found that 83% of Filipinos think that having a college education is important to succeed in life. If a random sample of 7 Filipinos is selected, find the probability that exactly 4 will agree with that statement. -0.0816 Random means that the experiment may result in one of several possible values of the variable. -True What is the probability that the total of two dice will be greater than 9, given that the first die is a 5? -1/3 Determine what type of random variable is represented in the given scenario. “Weight of the employees in a call center company” -Continuous random variables DOLE found that 83% of Filipinos think that having a college education is important to succeed in life. If a random sample of 7 Filipinos is selected, find the probability that at most two people will agree with that statement. -0.0021 Five hundred raffle tickets are sold at ₱25 each for three prizes of ₱4,000, ₱2,500, and ₱1,000. After each prize drawing, the winner ticket is then returned to the collection of tickets. What is the mean or expected value if a person purchases four tickets? x ₱3,900 ₱2,400 ₱900 -₱100 P(x) 4/500 4/500 4/500 496/500 - -₱41.60 It is a mapping or list of all values of a random variable to their corresponding probabilities for a given sample space. -Probability Distribution These are random variables that can assume all values between any two specific values. -Continuous random variables It represents the numerical value of a simple event of an experiment. -Random variables The experiment consists of counting the number of events that will occur during a specific interval of time or in a specific distance, area, or volume. -Poisson Experiment When you roll the two dice, what is the probability that the sum is 4? -1/12 The area under the part of a normal curve that lies within one standard deviation of the mean is ________. -about 68% It is applied when the probability of success are not the same from trial to trial. -Hypergeometric Experiment The normal distribution is continuous. -True A vintage car breaks down an average of four times per month. Find the probability that during the next month this vintage card will have at most two breakdowns. -0.2381 Five balls numbered 1, 2, 3, 4, and 5 are placed in a box. One is selected, its number is noted and then it is replaced. If this experiment is repeated many times, find the variance of the numbers on the balls. -2 The area under the part of a normal curve that lies within two standard deviation of the mean is ________. -about 95% The experiment consists of n independent, identical trials -Binomial Experiment The normal distribution is bell-shaped. -True It is the set of all possible outcomes of a probability experiment. Sample space The probability of success remains the same from trial to trial. -Binomial Experiment A package of 8 AAA size batteries contains 2 that are defective and 6 that are non – defective. If we select 4 batteries at random from the package, what is the probability that the sample contains exactly 1 defective battery? -57.14% It is a numerical measure of the likelihood that a specific event will occur. -Probability Five balls numbered 1, 2, 3, 4, and 5 are placed in a box. One is selected, its number is noted and then it is replaced. If this experiment is repeated many times, find the standard deviation of the numbers on the balls. -1.41 These are random variables that can assume only a countable number of values. -Discrete random variables It is the square root of the variance. -Standard deviation The most common way to measure the spread of a normal distribution. -Standard deviation It is a function or rule that assigns a number to each outcome of an experiment. -Random variable Determine what type of random variable is represented in the given scenario. “Number of DVD monthly sales in a Video Center” -Discrete random variables It is a measure of the number of standard deviations a particular data point is away from the mean. -z-score It is a perfectly symmetric, mound-shaped distribution. -Both A and B Determine what type of random variable is represented in the given scenario. “Outcomes in rolling a pair of dice” -Discrete random variables The area under the part of a normal curve that lies within three standard deviation of the mean is ________. -about 99.7% It is commonly referred to as a normal curve, or bell curve. -Normal Distribution The normal distribution curve is symmetric about the mean. -True It is a result of a single trial of a probability experiment. -Outcome There are only two possible outcomes for each trial, success and failure. -Binomial Experiment The mean, median and mode have different values in a normal distribution. -False Five balls numbered 1, 2, 3, 4, and 5 are placed in a box. One is selected, its number is noted and then it is replaced. If this experiment is repeated many times, find the mean of the numbers on the balls. -3 The normal curve is asymptotic. -True It is a measure of how spread out the values are. -Standard deviation