The following table lists the number of homework problems X that appear on a Probability and Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment generating function of X.

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Question 13
The following table lists the number of homework problems X that appear on a Probability and
Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment
generating function of X.
P(X)
14
.1
15
.2
16
.3
17
.4
Note exp(z) = e^z (the exponential function).
O .1xexp(14t) + .2xexp(15t) + .3xexp(16t) + .4xexp(17t)
.1хеxp(14t)
4xеxp(17t)
O 1
Transcribed Image Text:Question 13 The following table lists the number of homework problems X that appear on a Probability and Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment generating function of X. P(X) 14 .1 15 .2 16 .3 17 .4 Note exp(z) = e^z (the exponential function). O .1xexp(14t) + .2xexp(15t) + .3xexp(16t) + .4xexp(17t) .1хеxp(14t) 4xеxp(17t) O 1
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