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SME_8e_Ch_08_Section_1

# SME_8e_Ch_08_Section_1 - CHAPTER 8 SECTION 1 CONTINUOUS...

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1 CHAPTER 8 SECTION 1: CONTINUOUS PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE 1. Which of the following represents a difference between continuous and discrete random variables? a. Continuous random variables assume an uncountable number of values, and discrete random variables do not. b. The probability for any individual value of a continuous random variable is zero, but for discrete random variables it is not. c. Probability for continuous random variables means finding the area under a curve, while for discrete random variables it means summing individual probabilities. d. All of these choices are true. ANS: D PTS: 1 REF: SECTION 8.1 2. Which of the following is always true for all probability density functions of continuous random variables? 3. Suppose f(x) = 0.25. What range of possible values can X take on and still have the density function be legitimate? 4. The probability density function, f(x) , for any continuous random variable X , represents: 5. Which of the following is true about f(x) when X has a uniform distribution over the interval [ a , b ]? a. The values of f(x) are different for various values of the random variable X. b. f(x) equals one for each possible value of X . c. f(x) equals one divided by the length of the interval from a to b . d. None of these choices. ANS: C PTS: 1 REF: SECTION 8.1

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2 6. The probability density function f(x) for a uniform random variable X defined over the interval [2, 10] is 7. If the random variable X has a uniform distribution between 40 and 50, then P (35 X 45) is:
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