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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Cloudy days. In a certain city, the weather is cloudy on a given day with probability 0.55, and is sunny with probability 0.45. The weather is measured on several consecutive days (which are deemed to be sufficiently independent for this problem).
a. What is the probability of 3 consecutive cloudy days, followed by a sunny day?
b. What is the probability that exactly 1 out of 4 consecutive days will be sunny?
c. What is the probability that at least 1 out of 4 consecutive days will be sunny?
d. Given that the 1st 3 days were cloudy, what is the probability the 4th day is sunny?
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