Page 1 Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Page 2 Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice random variable: â€¢ # on green die â€¢ sum of roll (green die + red die) â€¢ product of roll Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Page 3 Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice random variable: â€¢ # on green die â€¢ sum of roll (green die + red die) â€¢ product of roll Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice not not a random variable: â€¢ color of die with highest number â€¢ score on each die (green die, red die) Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Page 4 Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice random variable: â€¢ # on green die â€¢ sum of roll (green die + red die) â€¢ product of roll Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice not not a random variable: â€¢ color of die with highest number â€¢ score on each die (green die, red die) Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Flip a coinâ€¦ S = {head, tails} Random Variables Random Variables In general, we can obtain a random variable by simply assigning a numerical value assigning a numerical value to each outcome of a given experiment. How can we create a random variable from this experiment? Page 5 Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice random variable: â€¢ # on green die â€¢ sum of roll (green die + red die) â€¢ product of roll Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Example Example: roll two dice not not a random variable: â€¢ color of die with highest number â€¢ score on each die (green die, red die) Random Variables Random Variables A random variable is a real-valued function with a domain in the sample space S. f f : S ? R Flip a coinâ€¦ S = {head, tails} Random Variables Random Variables In general, we can obtain a random variable by simply assigning a numerical value assigning a numerical value to each outcome of a given experiment. How can we create a random variable from this experiment? Flip a coinâ€¦ S = {head, tails} ? {0,1} Random Variables Random VariablesRead More

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