Bill rides a bus for 2.5 hours to visit a friend. If the pus travels at about 60 to 63 miles per hour, how far does bills friend
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I suppose the density is supposed to be
(since diverges as
, and 0 is conveniently left out of the domain)
For this to be a proper density function, it must be positive (it is) and its integral over the support must evaluate to 1. We have
which means .
The distribution function is obtained by integrating the density:
The probability that the component exceeds 2 years in its lifetime is
The distace between the center of dilation and point a is diven by:
The distance between the center of dilation and point a' is given by:
It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.
Therefore, the scale factor is 1/4.
The distance between the center of dilation and point a' is given by:
It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.
Therefore, the scale factor is 1/4.