Answer to Question #233835 in Statistics and Probability for vanes

Question #233835

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?


1
Expert's answer
2021-09-07T02:41:16-0400

Let "X=" the number of enquiries responded: "X\\sim Bin(n, p)."

Given "p=0.8, n=8."


"P(X=8)=\\dbinom{8}{8}(0.8)^8(1-0.8)^{8-8}=0.8^8"

"=0.16777216\\approx0.1678"

"0.1678"



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