Answer to Question #180826 in Statistics and Probability for moriah

Question #180826

A company responds to 80% of all enquiries within 2 working days. The firm received 8 enquiries today.Β 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\\%=0.8" 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.


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