1a) Let an experiment consist of rolling three standard 6-sided dice. i) Compute the expected value of...

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1a) Let an experiment consist of rolling three standard 6-sideddice.

i) Compute the expected value of the sum of the rolls.
ii) Compute the variance of the sum of the rolls.
iii) If X represents the maximum value that appears in the tworolls, what is the expected value of X?

1b) Consider an experiment where a fair die is rolled repeatedlyuntil the first time a 3 is observed.

i) What is the sample space for this experiment? What is theprobability that the die turns up a 3 after i rolls?
ii) What is the expected number of times we roll the die?
iii) Let E be the event that the first time a 3 turns up is afteran even number of rolls. What set of outcomes belong to this event?What is the probability that Eoccurs?

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3.7 Ratings (319 Votes)

1isum will range from111 3 to 666 18probabilities of sum is given belowP3 1216P4 3216P5 6216P6 10216P7 15216P8 21216P9 25216P10 27216P11 27216P12 25216P13 21216P14 15216P15 10216P16 6216P17 3216P18 See Answer

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