A computer store sells 3 computer models priced at P26,000, 32,000, and 42,000, and two brands of monitors priced at P3,200 and 3, 800, respectively. The joint pmf of X, the computer price, and Y , the monitor price, is given in the table below. X\Y  3,200  3,800 26,000  0.30  0.25 32,000  0.20 0.10 42,000 0.10 0.05 Find the joint probability F(x, y) = P(X ≤ 32,000, Y ≤3,800 ). Compute the marginal probability functions (pmf’s). Describe the events A= { X + Y ≥ 32,800} and find its probability.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A computer store sells 3 computer models priced at P26,000, 32,000, and
42,000, and two brands of monitors priced at P3,200 and 3, 800, respectively.
The joint pmf of X, the computer price, and Y , the monitor price, is given in
the table below.

X\Y  3,200  3,800
26,000  0.30  0.25
32,000  0.20 0.10
42,000 0.10 0.05
  1. Find the joint probability F(x, y) = P(X ≤ 32,000, Y ≤3,800 ).
  2. Compute the marginal probability functions (pmf’s).
  3. Describe the events A= { X + Y ≥ 32,800} and find its probability.

 

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