Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

done AIEEE Solved Paper-2005 Total Questions - 3

• question_answer1) Let A and B be two events such that \[P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}\]and\[P(\overline{A})=\frac{1}{4},\]where \[\overline{A}\] stands for complement of event A. Then, events A and B are     AIEEE  Solved  Paper-2005
  A)
  mutually exclusive and independent
  done clear
  B)
  independent but not equally likely
  done clear
  C)
  equally likely but not independent
  done clear
  D)
  equally likely and mutuaiiy exclusive
  done clear
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• question_answer2) Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house, is     AIEEE  Solved  Paper-2005
  A)
  7/9        
  done clear
  B)
         8/9        
  done clear
  C)
          1/9                       
  done clear
  D)
         2/9
  done clear
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• question_answer3) A random variable X has Poisson distribution with mean 2. Then,\[P(X>1.5)\]equals     AIEEE  Solved  Paper-2005
  A)
  \[\frac{3}{{{e}^{2}}}\]                   
  done clear
  B)
         \[1-\frac{3}{{{e}^{2}}}\]               
  done clear
  C)
         0                             
  done clear
  D)
         \[\frac{2}{{{e}^{2}}}\]
  done clear
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