The following table gives a two-way classification of 400 randomly selected students based on gender and whether they support, oppose, or don't care about Proposition G. Support Oppose Don't Care Total Male 60 45 75 180 Female 100 40 80 220 Total 160 85 155 400 (a) Find the conditional prob. that a r/s student supports Proposition G given that she is a female. (b) Find the prob. that a r/s student is a female and opposes Proposition G. (c) Find the prob. that a r/s student either opposes Proposition G or is a female.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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The following table gives a two-way classification of 400 randomly selected students
based on gender and whether they support, oppose, or don't care about Proposition G.
Support Oppose Don't Care Total
Male 60 45 75 180
Female 100 40 80 220
Total 160 85 155 400
(a) Find the conditional prob. that a r/s student supports Proposition G given that she
is a female.
(b) Find the prob. that a r/s student is a female and opposes Proposition G.
(c) Find the prob. that a r/s student either opposes Proposition G or is a female.
Transcribed Image Text:The following table gives a two-way classification of 400 randomly selected students based on gender and whether they support, oppose, or don't care about Proposition G. Support Oppose Don't Care Total Male 60 45 75 180 Female 100 40 80 220 Total 160 85 155 400 (a) Find the conditional prob. that a r/s student supports Proposition G given that she is a female. (b) Find the prob. that a r/s student is a female and opposes Proposition G. (c) Find the prob. that a r/s student either opposes Proposition G or is a female.
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