971.Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as: six appears on at least one die
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972.Find the mean μ, variance σ2 for the following probability distribution:
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973.Find the mean μ, variance σ2 for the following probability distribution:
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Long Answer Type
974.Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.
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975.Find the mean number of heads in three tosses of a fair coin.
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976.Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X).
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977.Let a pair of dice be thrown and the random variable X be the sum of the numbers that appear on the two dice. Find the mean or expectation of X.
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978.Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the mean, variance and standard deviation of the number of kings.
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979.Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.
980.A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19, 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability distribution of the random variable X ? Find mean, variance and standard deviation of X.
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