Which of the following is NOT a characteristic of the probability mass function of a discrete random variable X? Multiple Choice Describes all possible values x with the associated probabilities P(X = x). The probability P(X ≤ x) for every possible value x is equal to 1. The sum of probabilities P(X = x) over all possible values x is 1. For every possible value x, the probability P(X = x) is a value between 0 and 1.
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- The pmf assigns probabilities to each possible value x that X can take. - Each probability P(X = x) must be between 0 and 1. - The sum of all probabilities over all possible values of x must equal 1. Show more…
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Which of the following is not a characteristic of the probability mass function of a discrete random variable X? The sum of probabilities P(X = x) over all possible values x is 1. It is a list of all possible values x with the associated probabilities P(X = x). It is also called the probability density function of X, denoted by f(x). For every possible value x, the probability P(X = x) is between 0 and 1.
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1. X is a discrete random variable. Which of the following statements is correct? a) X can only be assigned as integers b) X cannot be negative c) The number of valid values of X can be infinite d) The number of valid values of X cannot be infinite 2. Suppose that p(x) is the probability distribution of random variable X. p(x) is also called probability mass function. Which of the following statements about p(x) is NOT correct? a) p(x) is a monotonically increasing function. b) p(x) ≤ 1 for any valid x c) p(x) ≥ 0 for any valid x d) Σx p(x) = 1
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