Question

I dont know how to solve this math statistics problem

Answer 1

Using the binomial distribution:

`P(X\le x)=(n!)/(k!(n-k)!)p^k(1-p)^(n-k)`

a.

`\begin{gathered} p=0.55 \\ n=37 \\ P(X=20)\approx0.1298 \end{gathered}`

b.

`P(x\le21)\approx0.6460`

c.

`P(X\ge19)\approx0.7303`

d.

`P(17\le X\le21)\approx P(X\le21)-P(X<17)\approx0.5440`