A binomial experiment has the given number of trials n and the given success probability p. n=9,p=0.4

Question

A binomial experiment has the given number of trials n and the given success probability p.

n=9,p=0.4

Answer 1

X ~ Binomial(n, p)

We want to set up the formula for the binomial probability distribution.

P(X = x) = C(n, x)*p^x*(1 - p)^{n - x} = n! / [x!*(n - x)!] * p^x * (1 - p)^{n - x}

Let n = 9 and p = 0.4. Then we have

P(X = x) = C(9, x)*(0.4)^x*(1 - 0.4)^{9 - x} = 9! / [x!*(9 - x)!] * (0.4)^x * (0.6)^{9 - x}

We don't know what x is, which represents how many trials you are selecting. So this will depend on what the question is asking for. In this case, the set up will be a great start to finish from there.