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Assume the binomial distribution is appropriate. If N = 10 and P = 0.30, the probability...

Assume the binomial distribution is appropriate. If N = 10 and P = 0.30, the probability of getting at least 8 P events is _________.

Expert Solution

Let X be random variable of getting P events.

X follows binomial distribution with n = 10 and p = 0.30

If X follows Binomial with n and p then

x = 0,1,2,..................,n

where

n!=1*2*..........*n

Here we have to find

n! = n*(n-1)!

= 45 * 0.00006561*0.49

= 0.0014467

= 10 * 0.000019683 * 0.70

= 0.000137781

= 1 * 0.0000059

= 0.0000059

= 0.0016 (Round to 4 decimal)

The probability of getting at least 8 P events is 0.0016

milcah answered 8 months ago

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