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 interv

SHAIK AASIF AHAMED
8 years ago
Hello student,
n=5
success=p
failue=q
P (at least one failure)$\geq$(31/32)
1 – P (no failure)$\geq$(31/32)
1- P(x=5)$\geq$(31/32)
1 5C5p5$\geq$(31/32)
on simplifying we get
p$\leq$(1/2)
so p$\epsilon(0,1/2)$
Thanks and Regards
Shaik Aasif