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Q: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

  • 1
    [1, 32]
  • 2
    (0, 1)
  • 3
    [1, 1/2]
  • 4
    (1, 1/2]
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Answer : 3. "[1, 1/2]"
Explanation :

Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32=  P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

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