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In a binomial distribution B(n , p=1/4) ...

In a binomial distribution `B(n , p=1/4)` , if the probability of at least one success is greater than or equal to `9/(10)` , then n is greater than (1) `1/((log)_(10)^4-(log)_(10)^3)` (2) `1/((log)_(10)^4+(log)_(10)^3)` (3) `9/((log)_(10)^4-(log)_(10)^3)` (4) `4/((log)_(10)^4-(log)_(10)^3)`

A

`9/(log_10 4- log_10 3)`

B

`(1-log_10 9)/(log_10 4 - log_10 3)`

C

`1/(log_10 4 - log_10 3)`

D

`1/(log_10 4 +log_10 3)`

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The correct Answer is:
C
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