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3. (40 points) Tom finds coins at a Poisson rate. The Poisson rate A varies by hour. The distribution of X is geometric with

(b) Determine the expected value and variance of the number of coins that Tom finds in an hour For the expected value, apply

E NI and VariN) have already beens foand in part (h) of duie prii

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Answer #1

a lo errnino0 oV, -t-P 나 l-p e-Ct-PP -P e-C-p Hence 2 2-9 Lo PCNZ2 0.186mean a lo Ento - ro lob lo4 lto Itoo (0oECNto 62- 99

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