Answer to Question #180826 in Statistics and Probability for moriah

Question

A company responds to 80% of all enquiries within 2 working days. The firm received 8 enquiries today. What is the probability that all the 8 enquiries are responded within 2 working days?

a.

0.0839

b.

0.3356

c.

0.1678

d.

0.6422

Answer 1

Solution:

$p=80\%=0.8$ for 2 days

And $n=8$

Here, $X\sim Bin(n,p)$

So, $P(X=8)=^8C_8(0.8)^8(0.2)^0\approx0.1678$

Hence, option (c) is correct.