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If P(A) = 0.1 and P(An B) = 0.03 and P(A|B) = 0.2, find the following probabilities: i) Conditional probability of B if A has occurred, P(B|A) ii) The probability of B, P (B) iii) The probability of A', P(A')

If P(A) = 0.1 and P(An B) = 0.03 and P(A|B) = 0.2, find the following probabilities: i) Conditional probability of B if A has occurred, P(B|A) ii) The probability of B, P (B) iii) The probability of A', P(A')

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 5E
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Q b iii pls

a) In a group of 80 students, 50 have a laptop (A), 30 have a tablet (B) and 3 have both a laptop and a tablet. i) Draw a Venn diagram to represent this information. A 47 3 27 B 3 ii) Find the probability that a student either only has a tablet or does not have a laptop or both, using the equation P(A' U B) = P(A') + P(B) − P(A' ʼn B). b) If P(A) = 0.1 and P(ANB) = 0.03 and P(A|B) = 0.2, find the following probabilities: i) Conditional probability of B if A has occurred, P(B|A) ii) The probability of B, P (B) iii) The probability of A', P(A¹)
Transcribed Image Text:a) In a group of 80 students, 50 have a laptop (A), 30 have a tablet (B) and 3 have both a laptop and a tablet. i) Draw a Venn diagram to represent this information. A 47 3 27 B 3 ii) Find the probability that a student either only has a tablet or does not have a laptop or both, using the equation P(A' U B) = P(A') + P(B) − P(A' ʼn B). b) If P(A) = 0.1 and P(ANB) = 0.03 and P(A|B) = 0.2, find the following probabilities: i) Conditional probability of B if A has occurred, P(B|A) ii) The probability of B, P (B) iii) The probability of A', P(A¹)
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