Let X be a random variable with MGF Mx(t), -h

MATLAB: An Introduction with Applications
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Let X be a random variable with MGF Mx(t), -h <t< h. Determine following
questions are true or false and explain it.
(a) P(X1)<e Mx(t),0<t<h.
(b) P(X ≤1)≤1-e 'Mx(t), -h <t<0.
(c) Mx(t)+ Mx(6t), - h<t<h, is also MGF of some random variable.
Transcribed Image Text:Let X be a random variable with MGF Mx(t), -h <t< h. Determine following questions are true or false and explain it. (a) P(X1)<e Mx(t),0<t<h. (b) P(X ≤1)≤1-e 'Mx(t), -h <t<0. (c) Mx(t)+ Mx(6t), - h<t<h, is also MGF of some random variable.
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