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MATH 1280-01 Introduction to Statistics - AY2025-T5
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The probability that a professional poker player wins a hand in a tournament is 0.42, based on past performance over 500 hands played. In an upcoming tournament, the player is expected to play 15 hands. What is the expected number of hands the player will win during the tournament?
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The variance of a random variable is always a non-negative value.
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If the mean of X is 12, the mean of 2X+3 is:
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For a binomial distribution, if p=0.3 and n=15, the variance is:
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The probability of an event can be infinite.
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The mean of a probability distribution can be a value not in the sample space.
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If P(X=x)=0 for a value of x, which of the following statements is true?
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In a binomial experiment, the trials are dependent on each other.
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The monthly income of a group of 100 employees is normally distributed with a mean of $3,500 and a standard deviation of $400. What is the expected total income of all employees?
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For a random variable X, E(X)=10 and Var(X)=4. What is E(X^2)?
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