Consider 5 independent Bernoulli’ trials each with probability of success p. If the probability of at least one ** is greater than or equal to 31/32, then p **** in the interval
(A) [3/4, 11/12]
(B) [0, 1/2]
(C) [11/2, 1]
(D) [1/2, 3/4]
Answer is (B) [0, 1/2]
n = 5; Success = p; *** = q
We have,