Question
In a game, a player is required to toss a die and a pick a card from a box containing 2 cards marked 2, and
In a game, a player is required to toss a die and a pick a card from a box containing 2 cards marked 2, and 3. Let R be minimum of the pair of values on the die and card that are picked. If the two values are equal, R will be 0. R will be the payment in dollars to the player. R= min(value on die, value on card) For example: R=min(50,60) = 50 (the smaller of the two values) (i) What are the possible values of R? Fill up the following table with the possible values of R. (ii) Tabulate the probability distribution of R. Leave your answer in fractions. (iii) Calculate the expected value and standard deviation of R. Give your final answers for expected value and standard deviation accurate to 3 decimal places
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