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 ?
A) [1, 32]
B) (0, 1)
C) [1, 1/2]
D) (1, 1/2]
Answer: C) [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].