This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 0.25 ⋅ 0.60 0.15 0.10 0.25 No Rain Monday M ' 0.75 ⋅ 0.20 0.15 0.60 0.75 Total 0.30 0.70 1.00 OR P(T) = 0.15 + 0.15 = 0.30 . b) (2) Suppose one week it rained on Tuesday. What is the probability that it also rained on Monday? P(M  T) = 30 . 15 . P(T) T) P(M = ∩ = 0.50 . c) (2) What is the probability that it did not rained on Monday, if it did not rained on Tuesday? P(M '  T ' ) = 7 6 = = ∩ 70 60 ) P(T ) T P(M . . ' ' ' ≈ 0.8571 . d) (2) What is the probability that it rains either on Monday or on Tuesday, or both? P(M ∪ T) = P(M) + P(T) P(M ∩ T) = 0.25 + 0.30 0.15 = 0.40 . OR P(M ∪ T) = P(M ∩ T) + P(M ∩ T ' ) + P(M ' ∩ T) = 0.15 + 0.10 + 0.15 = 0.40 . OR P(M ∪ T) = 1 – P(M ' ∩ T ' ) = 1 – 0.60 = 0.40 ....
View
Full
Document
This note was uploaded on 11/28/2011 for the course STAT 400 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim

Click to edit the document details