ProbabilityHard
Question
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 
, then p lies in the interval
, then p lies in the intervalOptions
A.
B.
C.
D.
Solution
n = 5
Success = p
Failure = q
P (at least one failure) ≥
1 - P (no failure) ≥
1 - P( x = 5) ≥
1 - 5C5 p5 ≥
- p5 ≥ -
Success = p
Failure = q
P (at least one failure) ≥
1 - P (no failure) ≥
1 - P( x = 5) ≥
1 - 5C5 p5 ≥
- p5 ≥ -
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