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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')

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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