3-169. The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. (a) What is the probability of two or more changes in a day? (b) What is the probability of no content changes in five days? (c) What is the probability of two or fewer changes in five days?

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In the Poisson problem below. The number of content changes to a Web site is thus one change
every four days. If so, the probability of one change every four days is 1.00.
3-169. The number of content changes to a Web site follows a
Poisson distribution with a mean of 0.25
per day.
(a) What is the probability of two or more changes in a day?
(b) What is the probability of no content changes in five days?
(c) What is the probability of two or fewer changes in five days?
a.
Ut x = # 7 content changes in a day
x = 0-25 change / day
P(X22)
1 - P(X 21)
=
2
1 - [P(X=0) + P(X= 1)]
.0.25
0-25°
1
1
e
0.026
0!
+
e
-0.28
0.251
Transcribed Image Text:In the Poisson problem below. The number of content changes to a Web site is thus one change every four days. If so, the probability of one change every four days is 1.00. 3-169. The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. (a) What is the probability of two or more changes in a day? (b) What is the probability of no content changes in five days? (c) What is the probability of two or fewer changes in five days? a. Ut x = # 7 content changes in a day x = 0-25 change / day P(X22) 1 - P(X 21) = 2 1 - [P(X=0) + P(X= 1)] .0.25 0-25° 1 1 e 0.026 0! + e -0.28 0.251
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