Question

It is observed that 25% of cases related to child labour reported to the police Station are solved.If 6 new cases are reported,then the probability that atleast 5 of the will be solved is ..............

a) (1/4)^6 b) 19/1024

c) 19/2048 d) 19/4096




plz tell answer ​

Answer 1

Answer:

the answer is option d

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Answer 2

D(19/4096)

Here p=1/4,

n=6

p+q=1

1/4+q=1

q=1-1/4

q=4-1/4

q=3/4

p(x>5)=p(x=5)+p(x=6)

then, we know that

^nCx.p^x.q^n-x

^6C5.(1/4)^5.(3/4)^6-5 + ^6C6.(1/4)^6(3/4)^6-6

=6(1/1024)(3/4) + 1(1/4096)(1)

=(18/4096)+(1/4096)

=19/4096