2 012 points 1 Previous Answens My Notes Ask Your The number of customers waitin

Question

2 012 points 1 Previous Answens My Notes Ask Your The number of customers waiting for gift-wrap service at a department store is an rv X with possible values o, 1, 2, 3, 4 and corresponding probabilities 0.1, 0.2, 0.3, 0.25, 0 15. A ando mly selected customer will have 1, 2, or 3 packages for wrapping with probabilities 0 55 0.35, and 0.1, respectively. Let . the total number of packages to be wrapped for the custómers waiting in line (assume that the number of packages submitted by one customer is independent of the number submitted by any other customer) (a) Determine P(X-3, . 3), Le.. PLX-3, . 3) . 0.03125 3.3). (Round your answer to four decirnal places.) (b) Determine p(4,11). (Round your answer to four decimal places.) 4,11) 0.00234X

Explanation / Answer

a) P(X=3,Y=3) = P(3 customer andall want one wrapping) =0.25*0.55*0.55*0.55=0.0416

b) P(X=4,Y=11) =P(4 customer and 3 want 3 wrapping and 4th want 2 wrapping)

=0.15*4*0.13*0.35 =0.0000

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