The number of hits to a Web site follows a Poisson process. Hits occur at the ra
ID: 3223070 • Letter: T
Question
The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 0.62 per minute between 7:00 P.M. and 10 :00 P.M. Given below are three scenarios for the number of hits to the Web site. Compute the probability of each scenario between 7:15 P.M. and 7 :20 P.M.
More than 5 hits.
a. 0.0407
b. 0.0120
c. 0.1728
d. 0.0943
e. 0.3770
The number of hits are within one variance (inclusively) of the mean.
a. 0.9612
b. 0.6248
c. 0.4012
d. 0.9858
e. 0.1847
Explanation / Answer
averge number of hits b/w 7:15 P.M. and 7 :20 =5*0.62 =3.1
henceP(X>5) =1-P(X<=5)=1-0.9057=0.0943
hence option d is correct
2) for variance =mean =(3.1)
hence P(0<X<6.2)=0.9612
option A is correct