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Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at leastone failure is greater than or equal to31 /32, then p lies in the interv

sudhanshu , 10 Years ago
Grade 12
anser 1 Answers
SHAIK AASIF AHAMED

Last Activity: 10 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
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