Statistics Section 3: Probability | Shippensburg University of Pennsylvania

University:
Shippensburg University of Pennsylvania
Course:
MAT 217 | Statistics I
Academic year:

2023
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11

Pages:

5
Author:

NatKing42

Section Subject Probability Summery ①P(A) 80 PA = 1 < P(n) < * A = 1- P(A) * P(AUB) = P(A) + P(B) - P(AMB)→or, atleast * P(AnB) = P(A) + P(B) - P(AUB)→ both and * = + P(B)- * P(AnB)=P(A) - P(AnB) * P(AnB) = P(AnB) = 1- P(AUB) *P(AUB) = P(AUB) = 1- P(AnB) * Examples) 1241 find Plei) oo Pe,+Pez + Pez+Pey = 4 2 Pez+Pez + + = 4 Pez=10 Pe, = 2 Pez | $=2*8 3 Pe, +Pez tez the 4 = 1 2/2 3 Pez=3 eztey = e= 6 Q5 1, 2, - 50,51,, 100 P(1,4,9, 16, 25, 36, 49, 64,81,400) P+P2+ = 1 100 T @P= 10 = to a 100 ⑥ 2P,2P, - -, PP,P 802PA50+50P=1 150P=1 150 150 *7= *5100 = 150*3= +2 150 # A,B,C P(A) = P(B)= 2P (C) P(A) + P(B) + P(C) = 1 1 @2PC) +2P(c) + PRC) = 1 5 P(c) = 1 [P(C) = + P(A) = 1 P(B)= P(A) = P(B)+P(C) (OR) +- P(A) = P(CUB) = P(C) + P(B) -P (CNB) Becouse not found 2 win La 1981 P(C) = 0.04, P(S)=a.2, P(Snc) -0.03 Sol- @P(sn C) = P(S) + P(C) - P (Snc) 0.2 +0.04-0.03 -0.2 -21% b) P(Cns) = P(c) - P(cns) 0.04-4% = - 0.04 0.03 @12/P(m) = 0.8, P(E) = 0.6, P(MUE)-0.9 Sol @P(mnc) = +-P(MUE), 19 P(mn E) = P(E) - P(MNE) 0.6-0.8+0.6-0.97=0.1 1131 Inde Pendent 6214 n = 100 54 M 69 E 35 m. E P(mnE)=35 P(m) = 0.54 P(A) = n(A) =?? n(5) P(E) = 0.69 P(mnE) 0.35 @P(MUE)=P(m) + P(E) -P(MME) 0.54 +0.69 0.35 - 10.881 ⑥P(mnc) = 1-P (MUC) = 1.0.88-01 © P[Em] =P(E) - P(Enm) - 0.690.35 10-341 218 a, b, d section④ P(A)= 0.5 P(AUB)= 0.8. P(B)?? P(AnB) = P(A) + P(B) - P(AUB) 0-0.5+?? 0.8 KAMS P(B)= 0.3@ Subject A Sub Set B P(AnB) = P(A) P(AUB) = P(B) 10.8 = ?1 201 P(A)=+, P(AUB) = ½ P(B)= P @ P (AMB) = 0 P(A) + P(B)-P(AUB)=0 +P P(B)= P=1 12 P(AUB) = P(B) = P(B)

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