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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
22.  Suppose the distribution of the time X (in hours) spent by students at a certain university on a partic- ular project is gamma with parameters a = 50 and b = 2. Because a is large, it can be shown that X has approximately a normal distribution. Use this fact to compute the probability that a randomly selected student spends at most 125 hours on the project.
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23.  The Central Limit Theorem says that X is approxi- mately  normal  if  the  sample  size  is  large.  More speci  cally, the theorem states that the standardized X has a limiting standard normal distribution. That is, 1X - m 2 / 1s/ 1n 2 has a distribution approaching the standard normal. Can you reconcile this with the Law  of  Large  Numbers?  If  the  standardized  X  is approximately standard normal, then what about X itself?
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