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# The overall percentage of failures in a certain examination is 40.what is t

The overall percentage of failures in a certain examination is 40.what is the probability that out of a group of five candidates atleast 4 passed the examination

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Here the percentage of success, p = 0.50
And the percentage of failure q = 0.40
And number, n = 5
P (x ≥4) = ?
So
According to Binomial theory,
P (x ≥4) = P(x =4) + P (x =5)+
= 5C4 (.50)^(4 ) (.40)^(5-4) + 5C5 (.50)^(5 ) (.40)^(5-5)

= 0.025+0

=0.025