Calculate P(x > 2): Binomial Distribution

[nachelle]

Suppose x is a discrete, binomial random variable

Calculate P(x > 2), given trails n = 8, success probability p = 0.3

and

given trails n = 6, success probability p = 0.1

 

[lkh1986]

When it says n is more than 2, it means that x = 3, 4, and so on until 8. You can compute the probabilities for each of the values of x wanted, or you can find the answer by applying the formula and using the statistical tables.

 

[HallsofIvy]

Suppose x is a discrete, binomial random variable

Calculate P(x > 2), given trails n = 8, success probability p = 0.3

and

given trails n = 6, success probability p = 0.1

First, it "trials", not "trails"! P(x= m)= ₈C_m(0.3)^m(0.7)^8-m. Since "x> 2" means x= 3, 4, 5, 6, 7, or 8, it might be simpler to find find P(x<= 2)= P(x= 0)+ P(x=1)+ P(x= 2) and then subtract from 1.