2. Consider 4 bags of candy where the 1st bag has two Snickers, the 2nd bag...

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2. Consider 4 bags of candy where the 1st bag has two Snickers, the 2nd bag has three Reese's peanut butter cups, the 3rd bag has two Snickers and three Reese's cups, the 4th bag has one Snickers and two Reese's. Assume a bag is selected randomly, then a piece of candy is selected randomly from the bag. Let B be the random variable corresponding to which bag is selected: {1,2,3,4}. Let C be the random variable corresponding to the candy selected {Snickers, Reese}. (a) (1 point) What is the distribution of B? Present P(B) as a table. (b) (2 points) What is the conditional distribution P(C|B)? Present as a table. (c) (2 points) What is the joint probability of an outcome of the selecting the fourth bag and a Snickers bar? P(B = 4, C = Snickers) =? Hint: product rule (d) (3 points) What is the conditional probability that P(B = 4|C = Snickers)? 2. Consider 4 bags of candy where the 1st bag has two Snickers, the 2nd bag has three Reese's peanut butter cups, the 3rd bag has two Snickers and three Reese's cups, the 4th bag has one Snickers and two Reese's. Assume a bag is selected randomly, then a piece of candy is selected randomly from the bag. Let B be the random variable corresponding to which bag is selected: {1,2,3,4}. Let C be the random variable corresponding to the candy selected {Snickers, Reese}. (a) (1 point) What is the distribution of B? Present P(B) as a table. (b) (2 points) What is the conditional distribution P(C|B)? Present as a table. (c) (2 points) What is the joint probability of an outcome of the selecting the fourth bag and a Snickers bar? P(B = 4, C = Snickers) =? Hint: product rule (d) (3 points) What is the conditional probability that P(B = 4|C = Snickers)?

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a Distribution of B Bag Probability 1 14 2 14 3 14 4 14 b Conditional dist... View the full answer