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