TALLER DE PROBABILIDAD Y ESTADÍSTICA. ESPACIOS MUESTRALES

UNIVERSIDAD DE IBAGUÉ

TALLER DE PROBABILIDAD Y ESTADÍSTICA

ESPACIOS MUESTRALES

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*2.1.

a.  S = { 8, 16, 24, 32, 40, 48}

b. S = {1, - 5}

c. S = {(Cruz), (Cara, Cruz), (Cara, Cara, Cruz), (Cara, Cara, Cara) } 

d. S = {América, África, Europa, Asia, Oceanía, Antártida} 

e. S = {conjunto vacío} 

*2.2.

S = {(x, y) |  +  = 9 ; x ≥ 0 ; y ≥ 0} [pic 9][pic 10]

*2.3.

A y C son iguales porque -4x+3=0 se cumple al factorizar, dándonos por factorización los puntos (x-1)(x-3)=0 siendo así: =1, =3.[pic 11][pic 12][pic 13]

*2.4

a.

X={1,2,3,4,5,6}

Y={1,2,3,4,5,6}

S = { (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) } 

b.

 S = {x, y| 1≤ 𝑥 ≥ 6, 1 ≤ 𝑦 ≥ 6}

*2.5.

S={1HH, 1HT, 1TH, 1TT, 3HH, 3HT, 3TH, 3TT, 5HH, 5HT, 5TH, 5TT, 2H, 2T, 4H, 4T, 6H, 6T}

*2.6.

S={(A1, A2), (A1, A3), (A1, A4), (A2, A3), (A2, A4), (A3, A4)} 

*2.7.

S1= {HHHH, HHHM, HHMH, HMHH, MHHH, HHMM, HMHM, HMMH, MHHM, MHMH, MMHH, HMMM, MHMM, MMHM, MMMH, MMMM}

S2= {0, 1, 2, 3, 4}

*2.8.

a. A= {(3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6)}.

b. B= {(1,2), (2,2), (3,2), (4,2), (5,2), (6,2), (2,1), (2,3), (2,4), (2,5), (2,6)}.

c. C= {(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}.

d. AՈC= {(5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6)}.

e. AՈB= ϕ.

f. BՈC= {(5,2), (6,2)}.

g.

[pic 14]

*2.9.

a.

A = {1HH, 1HT, 1TH, 1TT, 2H, 2T}.

b. 

B = {1TT ,3TT, 5TT}.

c.

𝐴′  = {3HH, 3HT, 3TH, 3TT, 4H,4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}.

d.

𝐴′ ∩ 𝐵 = {3TT, 5TT}.

e.

A∪B = {1HH, 1HT, 1TH, 1TT, 2H, 2T, 3TT, 5TT}.

*2.10.

a. S= {PPP, PPN, PNP, PNN, NPP, NPN, NNP, NNN}.

b. E= {PPP, PPN, PNP, NPP}.

c. {PPP, NPP, PPN, NPN}. El segundo río es seguro para la pesca.

*2.13.

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