Consider a random experiment where two dice are rolled and all outcomes are equally likely. Let be number that came up on the first die and let be the number that came up on the second die. For the random variable, , what is expected value, ?
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Consider a random experiment where two dice are rolled and all outcomes are equally likely. Let n₁ be number that came up on the first die and let n₂ be the number that came up on the second die. For the random variable, X = n₁ + n₂, what is expected value, E[X]? (A) 6 (B) 7 (C) 7.5 (D) 8
Also written as: Consider a random experiment where two dice are rolled and all outcomes are equally likely. Let n_1 be number that came up on the first die and let n_2 be the number that came up on the second die. For the random variable, X = n_1 + n_2, what is expected value, E[X]?
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This question is on Expectation and variance, part of Random variables and standard distributions in Statistics.
The mean and spread of a random variable, and how they change under transformations and sums.
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Question from the UoH 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.