Question

Assume that each of the n trails

Answer 1

Given,

The value of n is 8.

The value of x is 0.

The value of p is 0.6.

The binomial expression is,

`P(X=x)=^nC_x*(p)^x*(1-p)^(n-x)`

Subsituting the values then,

`\begin{gathered} P(X=0)=^8C_0*(0.6)^0*(1-0.6)^(8-0) \\ P(X=0)=(8!)/(0!*8!)*1*(0.4)^8 \\ P(X=0)=1*1*(0.4)^8 \\ P(X=0)=0.000655 \\ P(X=0)=0.0007 \end{gathered}`

ence, the probability is 0.0007.