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The probability density curve f(x) for continuous random variable X has which of the following properties? All of the above P(X = a) = 0, for any number a The probability of any event is the area under the probability density curve above the X-axis between the values of X that make up the event. The total area under the probability density curve for X must be exactly 1.
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A density function used to represent the probability of a continuous random variable must satisfy which of the following properties (select all that apply)? - The curve must pass the vertical line test. - The curve must never fall below the x-axis. - The total area under the curve must be 1. 2. For a continuous random variable, x, what is the P(X = a) where a is any constant? Using the density function, f(x) = 1 - x/2 for 0 ≤ x ≤ 2 answer questions 3 - 7. 3. Find P(0 ≤ x ≤ 0.5) 4. Find P(0 ≤ x ≤ 1) 5. Find P(0 ≤ x ≤ 1.5) 6. Find P(0 ≤ x ≤ 2) 7. Find P(0.5 ≤ x ≤ 1.5)
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A density function used to represent the probability of a continuous random variable must satisfy which of the following properties (select all that apply)? The curve must pass the vertical line test The curve must never fall below the x-axis The total area under the curve must be 1 For a continuous random variable, x, what is the P(x = a) where a is any constant? Simplify ∫(x - μ) · f(x) Using the density function, f(x) = 1/2x for 0 ≤ x ≤ 2 answer questions 4 - 7.
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