Congress is comprised of the House of Representatives and the Senate. Suppose that 21% are female (event F) and 81% of the members of Congress belong to the House of Representatives (event H). 16% of the members of Congress are female and belong to the House of Representatives. Suppose that S Senate and M = Male. a) Complete the contingency table for the given probabilities. Total M Total b) Given a member of Congress is female, what is the probability she serves in the Senate? c) What is the probability that a randomly selected member of Congress is male or in the House of Representatives? d) Are events F and H disjoint? Explain.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
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Congress is comprised of the House of Representatives and the Senate.
Suppose that 21% are female (event F) and 81% of the members of Congress belong to
the House of Representatives (event H). 16% of the members of Congress are female and
belong to the House of Representatives. Suppose that S Senate and M = Male.
a) Complete the contingency table for the given probabilities.
Total
M
Total
b) Given a member of Congress is female, what is the probability she serves in the
Senate?
c) What is the probability that a randomly selected member of Congress is male or in the
House of Representatives?
d) Are events F and H disjoint? Explain.
Transcribed Image Text:Congress is comprised of the House of Representatives and the Senate. Suppose that 21% are female (event F) and 81% of the members of Congress belong to the House of Representatives (event H). 16% of the members of Congress are female and belong to the House of Representatives. Suppose that S Senate and M = Male. a) Complete the contingency table for the given probabilities. Total M Total b) Given a member of Congress is female, what is the probability she serves in the Senate? c) What is the probability that a randomly selected member of Congress is male or in the House of Representatives? d) Are events F and H disjoint? Explain.
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