The following data were gathered for 130 workers in two departments. Of these​ workers, 53 were in Department​ A, 5 workers in Department A earned more than ​$80,000​, and 61 workers in Department B earned ​$80,000 or less. Complete parts​ (a) through​ (d) below.   Part 1 ​(a) Find the probability that a worker is in Department A earning ​$80,000 or less. ​(Type an integer or decimal rounded to two decimal places as​ needed.) Part 2 ​(b) Find the probability that a worker is in Department B earning more than​$80,000. ​(Type an integer or decimal rounded to two decimal places as​ needed.) Part 3 ​(c) Find the probability that a worker is in Department B or is earning more than​$80,000. (Type an integer or decimal rounded to two decimal places as​ needed.) ​(d) Find the probability that a worker is in Department A or is earning ​$80,000 or less. ​(Type an integer or decimal rounded to two decimal places as​ needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The following data were gathered for 130 workers in two departments. Of these​ workers, 53 were in Department​ A, 5 workers in Department A earned more than ​$80,000​, and 61 workers in Department B earned ​$80,000 or less. Complete parts​ (a) through​ (d) below.
 
Part 1 ​(a) Find the probability that a worker is in Department A earning ​$80,000
or less. ​(Type an integer or decimal rounded to two decimal places as​ needed.)
Part 2 ​(b) Find the probability that a worker is in Department B earning more than​$80,000. ​(Type an integer or decimal rounded to two decimal places as​ needed.)
Part 3 ​(c) Find the probability that a worker is in Department B or is earning more than​$80,000. (Type an integer or decimal rounded to two decimal places as​ needed.)
​(d) Find the probability that a worker is in Department A or is earning ​$80,000
or less. ​(Type an integer or decimal rounded to two decimal places as​ needed.)
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