ch. 6 sample test - CHAPTER SIX CONTINUOUS PROBABILITY...

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CHAPTER SIX CONTINUOUS PROBABILITY DISTRIBUTIONS MULTIPLE-CHOICE QUESTIONS In the following multiple-choice questions, circle the correct answer. 1. A continuous random variable may assume a. all values in an interval or collection of intervals b. only integer values in an interval or collection of intervals c. only fractional values in an interval or collection of intervals d. all the positive integer values in an interval ANSWER: a 2. For a continuous random variable x , the probability density function f ( x ) represents a. the probability at a given value of x b. the area under the curve at x c. Both the probability at a given value of x and the area under the curve at x are correct answers. d. the height of the function at x ANSWER: d 3. The function that defines the probability distribution of any continuous random variable is a a. normal function b. uniform function c. Both the normal function and the uniform function are correct. d. probability density function ANSWER: d 4. For any continuous random variable, the probability that the random variable takes on exactly a specific value is a. 1.00 b. 0.50 c. any value between 0 to 1 d. zero ANSWER: d 5. The uniform probability distribution is used with a. a continuous random variable b. a discrete random variable c. a normally distributed random variable d. any random variable ANSWER: a 6. A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is a. different for each interval b. the same for each interval MBS2 TB06 - 1
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c. Either a or b could be correct depending on the magnitude of the standard deviation. d. None of the alternative answers is correct. ANSWER: b 7. For a uniform probability density function, the height of the function a. can not be larger than one b. is the same for each value of x c. is different for various values of x d. decreases as x increases ANSWER: b 8. A continuous random variable is uniformly distributed between a and b . The probability density function between a and b is a. zero b. ( a - b ) c. ( b - a ) d. 1/( b - a ) ANSWER: d 9. The probability density function for a uniform distribution ranging between 2 and 6 is a. 4 b. undefined c. any positive value d. 0.25 ANSWER: d 10. The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 to 95 is a. 0.75 b. 0.5 c. 0.05 d. 1 ANSWER: b 11. The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability density function has what value in the interval between 6 and 10? a. 0.25 b. 4.00 c. 5.00 d. zero ANSWER: a 12. The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is a. zero b. 0.50 c. 0.20 d. 1 ANSWER: b 13. The assembly time for a product is uniformly distributed between 6 to 10 minutes. The MBS2 TB06 - 2
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This note was uploaded on 04/22/2008 for the course ISM 2300 taught by Professor Siddiqui during the Spring '08 term at Wayne State University.

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ch. 6 sample test - CHAPTER SIX CONTINUOUS PROBABILITY...

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