webassign.netp(I,y)X0 1 20 0.10 0.031 0.06 0.20 0.072 0.06 0.14 0.33(a) What is P(X= 1 and Y = 1)?0.01P(X = 1 and Y = 1) = 0.20(b) Compute P(X ≤ 1 and Y < 1).P(X ≤ 1 and Y < 1) =(c) Give a word description of the event { X 0 and Y / 0 }.At least one hose is in use at both islands.One hose is in use on both islands.One hose is in use on one island.At most one hose is in use at both islands.Compute the probability of this event.P(X 0 and Y / 0) ←M1A3(b) - MATH 142-2_1Q222webassign.netP(X 0 and Y # 0) =(d) Compute the marginal pmf of X.XyPy(y)+0Px(x)Compute the marginal pmf of Y.P(X ≤ 1) =0Using Px(x), what is P(X ≤ 1)?1122(e) Are X and Y independent rv's? Explain.Ox and Y are not independent because P(x, y) + px(x) · py(y).OX and Y are not independent because P(x, y) = px(x) · Py(y).OX and Y are independent because P(x, y) = Px(x) · py(y).OX and Y are independent because P(x, y) / Px(x) · Py(y).

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p(z,y) 0 1 2 X 0 y 0.10 0.03 0.01 1 0.06 0.20 0.07 2 0.06 0.14 0.33 (a) What is P(X = 1 and Y = 1) ? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X ≤ 1 and Y ≤ 1) . P(X ≤ 1 and Y < 1) = (c) Give a word description of the event { X 0 and Y / 0}. O At least one hose is in use at both islands. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. Compute the probability of this event. P(X / 0 and Y / 0) =

p(z,y) 0 1 2 X 0 y 0.10 0.03 0.01 1 0.06 0.20 0.07 2 0.06 0.14 0.33 (a) What is P(X = 1 and Y = 1) ? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X ≤ 1 and Y ≤ 1) . P(X ≤ 1 and Y < 1) = (c) Give a word description of the event { X 0 and Y / 0}. O At least one hose is in use at both islands. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. Compute the probability of this event. P(X / 0 and Y / 0) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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