It is not a particularly good book.
]]>No, this book is by Walpole.
]]>Is that the Devore book we were talking about, bobbym?
]]>I am getting for a , 3 / 64 = 0.046875.
and I can't find the answer to it.
Check Probability and Statistics for Engineers and Scientists.
]]>1) Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the
temperature (0 F) at which a certain reaction starts to take place. Suppose that two random
variables X and Y have the joint density:
f(x,y) = 4xy, 0<x<1 , 0<y<1 and 0 elsewhere
Find
a. P(0 ≤ X ≤ ½ and ¼ ≤ Y ≤ ½ )
Here is my solution:
P(0 ≤ X ≤ ½ and ¼ ≤ Y ≤ ½ ) = ∫∫4xy dx dy => 4∫∫xy dx dy
=> 4∫∫ (x^2/2) dy => 4∫ (.25y/2) dy => 4 ∫ (y^2/16) = > 4(.25/16 - .0625/16) => .046875
I'm looking for someone to check and see if I got the correct solution since this is my first time doing a problem like this and I can't find the answer to it.
Thanks!
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