Question

Kindly help me in solving it. Thanks in advance!

Q : The number of minutes that a flight from Ankara to İstanbul is early or late is a random variable whose probability density is given by
f(x) = { (36-x2)/288 for -6 < x < 6
0 elsewhere
where negative values are indicative of the flight’s being early and positive values are indicative of its being late. Find the probabilities that one of these flights will be
a) at most 2 minutes early;
b) at least 1 minute late;
c) exactly 5 minutes late.

Answer 1

SPlatmost 2 min earby) 36-2d 2 88 -Px-2) 3 T6 364 288 20%7 8 gu O.7409 Piatteast min Lake) e Pix>) 288 216 &64 325/8G0.362 0.3762 PCRS) 36-2 do 288 1t