Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) The probability that A speaks truth is 4/5 while this probability for B is 3/4. The probability that they contradict each other when asked to speak on a fact, is
  A)
  \[\frac{3}{20}\]   
  done clear
  B)
                         \[\frac{1}{5}\]                   
  done clear
  C)
         \[\frac{7}{20}\]                
  done clear
  D)
         \[\frac{4}{5}\]
  done clear
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• question_answer2) A random variable X has the probability distribution

  \[x\]	1	2	3	4	5	6	7	8
  \[p(x)\]	0.15	0.23	0.12	0.10	0.20	0.08	0.07	0.05

  For the events E = {X is a prime number} and\[F=\{X<4\},\]the probability\[P(E\cup F)\]is
  A)
  0.87  
  done clear
  B)
                        0.77       
  done clear
  C)
         0.35       
  done clear
  D)
         0.50
  done clear
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• question_answer3) The mean and the variance of a binomial distribution are 4 and 2, respectively. Then, the probability of 2 successes is
  A)
  \[\frac{37}{256}\]            
  done clear
  B)
         \[\frac{219}{256}\]                         
  done clear
  C)
  \[\frac{128}{256}\]                         
  done clear
  D)
         \[\frac{28}{256}\]
  done clear
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