Homework SourseFailure in the wifi service occurs at mean rate of 3 instanc
Failure in the wifi service occurs at mean rate of 3 instances per day, and the transmission on a day is considered \"bad\" if there are at least 5 failures that day.
(B) find the probability that the average number of failures (per day ) of a randomly selected 100 day sample is above 2.8.
Failure in the wifi service occurs at mean rate of 3 instances per day, and the transmission on a day is considered \"bad\" if there are at least 5 failures that day.
(B) find the probability that the average number of failures (per day ) of a randomly selected 100 day sample is above 2.8.
(B) find the probability that the average number of failures (per day ) of a randomly selected 100 day sample is above 2.8.
Solution
mean=3
P(X>5 or X=5)
=1-P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)
=1-(3^0)(e^-3)/0!-(3^1)(e^-3)/1!-(3^2)(e^-3)/2!-(3^3)(e^-3)/3!-(3^4)(e^-3)/4!
=0.184736755
P=(30C7)(0.184736755)^(7) (1-0.184736755)^(30-7)
P=0.136288477
![Failure in the wifi service occurs at mean rate of 3 instances per day, and the transmission on a day is considered \](/WebImages/24/failure-in-the-wifi-service-occurs-at-mean-rate-of-3-instanc-1058756-1761552755-0.webp "Failure in the wifi service occurs at mean rate of 3 instances per day, and the transmission on a day is considered \")
