Ch08 - CHAPTER8 CONTINUOUSPROBABILITYDISTRIBUTIONS...

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CHAPTER 8  CONTINUOUS PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE QUESTIONS In the following  multiple-choice questions, please circle the correct answer. 1. Given that  Z  is a standard  normal random  variable,  P (-1.0 Z 1.5) is a. 0.7745 b. 0.8413 c. 0.0919 d. 0.9332 ANSWER: a 2. Given that  Z  is a standard  normal variable, the value  z  for which  P ( Z     z ) = 0.2580 is a. 0.70 b. 0.758 c. -0.65 d. 0.242 ANSWER: c 3. If the   random  variable   X    is  exponentially   distributed   with   parameter   λ = 3,  then   P ( X    2) , up  to 4 decimal places , is  a. 0.3333 b. 0.5000 c. 0.6667 d. 0.0025 ANSWER: d 4. If the random  variable  X  is exponentially distributed  with  parameter   = 1.5, then   P (2 X    4), up  to 4 decimal places, is a. 0.6667 b. 0.0473 c. 0.5000 117
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118 Chapter Eight d. 0.2500 ANSWER: b 5. If  X  is a normal random  variable with a standard  deviation  of 10, then 3 has a standard   deviation  equal to a. 10 b. 13 c. 30 d. 90 ANSWER: c 6. Given that  X  is a normal variable, which of the following  statements  is (are) true? a. The variable  X  + 5 is also normally distributed b. The variable  X   - 5 is also normally distributed c. The variable 5 X  is also normally distributed d. All of the above statements  are true ANSWER: d 7. If the  random  variable   X   is exponentially  distributed  with  parameter   λ = 4, then  the  probability  P ( X  0.25) , up  to 4 decimal places, is a. 0.6321 b. 0.3679 c. 0.2500 d. None of the above answers is correct ANSWER: a 8. A standard  normal distribution  is a normal distribution  with a. a mean  of zero and  a standard  deviation  of one b. a mean  of one and  a standard  deviation  of zero c. a mean  usually larger than  the standard  deviation d. a mean  always larger than  the standard  deviation ANSWER: a 9. If  Z  is a standard  normal random  variable, then  P (-1.75   Z   -1.25) is a. 0.1056 b. 0.0401 c. 0.8543 d. 0.0655 ANSWER: d 10. If   Z   is a standard  normal  random  variable,  then  the  value   z   for which   P (- z   Z     z equals  0.8764 is a. 0.3764 b. 1.54 c. 3.08 d. 1.16 ANSWER: b
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Continuous Probability Distributions 119 11. If the  continuous  random  variable   X  is uniformly  distributed  over  he  interval  [15,25],  then the mean  of  X  is a. 40 b. 25 c. 20 d. 15 ANSWER: c 12. If the  random  variable   X   is normally  distributed  with  a  mean  of 75 and  a standard   deviation  of 8, then  P ( X    75) is a. 0.125 b. 0.500 c. 0.625 d. 0.975 ANSWER: b 13. Given  that   Z  is a standard  normal  random  variable, what  is the value  of  Z  if the area to  the right of 
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This document was uploaded on 10/25/2011 for the course LAPS 2320 at York University.

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Ch08 - CHAPTER8 CONTINUOUSPROBABILITYDISTRIBUTIONS...

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