Gate Exam

Let f(x) be the continuous probability density function of a random variable X. the
probability that a < X < b, is:
(c) ff(x)dx
(d) fxf(x)dx

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Gate Other Question

The inclusion of which of the following sets into
S {{i, 2} , {1, 2, 3}, {1, 3, 5} , {1, 2, 4} , {1, 2,3,4, 5}}
is necessary and sufficient to make S a complete lattice under the partial order
defined by set containment?
(a) {1}
(b) {1},{2,3}
(c) {1},{1,3}
(d) {1},{1,3},{1,2,3,4},{1,2,3,5} The set {1, 2, 4, 7, 8, 11, 13, 14} is a group under multiplication modulo 15. the inverses
of 4 and 7 are respectively:
(a) 3 and 13
(b) 2 and 11
(c) 4 and 13
(d) 8 and 14