Question #180826

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



1
Expert's answer
2021-05-03T07:13:28-0400

Solution:

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

And n=8n=8

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

So, P(X=8)=8C8(0.8)8(0.2)00.1678P(X=8)=^8C_8(0.8)^8(0.2)^0\approx0.1678

Hence, option (c) is correct.


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