// File MIT-02E-01-00-01.txt. Edition 12/29/2012. // Lab Specs // Title Card_Draw_Simulation // PauseCheckbox(-1 checked 0 cleared) ` 0 Objective: Illustrate the relative frequency interpretation of probability. That is, show that probability distribution of a random variable and the distribution of the numerical values of the random variable after many, many repetitions of the experiment are identical. _ Consider a deck composed of five cards: 3 of Spades, 3 of Hearts, 4 of Diamonds, 6 of Clubs, 9 of Hearts. ` 0 1. In the Deck of Cards list, first clear the four selected cards by clicking on each of them. Then, select the 3 of Spades, 3 of Hearts, 4 of Diamonds, 6 of Clubs, and 9 of Hearts. _ 2. What is the probability that the random variable v would equal each of its possible values for a single repetition the experiment. Calculate the distribution mean and variance of the random variable v? ` 0 3. Be certain that the Pause checkbox is cleared and click the Start button. After many, many repetitions click the Stop button. What are the relative frequencies of the numerical values v's? What are the mean and the variance of the numerical values after many, many repetitions of the experiment? _ 4. Compare your answers to 2 and 3.