Question

Using the Binomial distribution,If n=7 and p=0.3, find P(x=6)

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

P(x=6)

Given:

n=7 p=0.3

p+q = 1

⇒q = 1- p = 1-0.3 =0.7

Step 1

Recall the formula.

`P(X=x)=^nC_xP^xq^(n-x)`

Step 2

Substitute the values into the formula.

`P(x=6)=^7C_6(0.3)^6(0.7)^(7-6)`

Step 3

Simplify the above.

`\begin{gathered} P(x=6)=7*(0.3)^6*(0.7) \\ \\ =0.0035721 \end{gathered}`

ANSWER

0.0035721