Question B i and ii a) In a group of 80 students, 50 have a laptop (A), 30 have a tablet (B) and 3 have both alaptop and a tablet.i) Draw a Venn diagram to represent this information.A47327B3ii) Find the probability that a student either only has a tablet or does not have alaptop 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 followingprobabilities: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)

Given that P( A ) = 0.1 , P( A ∩ B ) = 0.03 , P( A|B ) = 0.2

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 (A')

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 (A')

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

Question B i and ii

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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