give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards is given as follows: m(1) 6/100, m(2) = 33/100, m(3) = 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. = Let E be the event "A card with an odd numbered rank is drawn," and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(EF), explain (in whole sentences) whether or not it is safe to use the formula P(EF) = P(E) · P(F) before knowing the answer .

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 87E
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give exact answers using both fractions and exact decimals.
One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number
on the card chosen. The distribution function for picking the cards given as follows:
m(1) = 6/100, m(2) = 33/100,
33/100,
m(3)
m(3)
11/100,
m(4) = 37/100, m(5) = 8/100, m(6) = 5/100.
=
Let E be the event “A card with an odd numbered rank is drawn,” and
F be the event "A card whose rank is less than or equal to 3 is drawn."
(a) Compute P(E).
(b) Compute P(F).
(c) Before you compute P(EF), explain (in whole sentences) whether or not it is
safe to use the formula P(E ^ F) = P(E) · P(F) before knowing the answer
Transcribed Image Text:give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards given as follows: m(1) = 6/100, m(2) = 33/100, 33/100, m(3) m(3) 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. = Let E be the event “A card with an odd numbered rank is drawn,” and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(EF), explain (in whole sentences) whether or not it is safe to use the formula P(E ^ F) = P(E) · P(F) before knowing the answer
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