The owner of an eating establishment is interested in studying ordering patterns of patrons for the weekend customers.  The owner wanted to know if pie was ordered and the gender of the individual.  The following data were collected.  Use the table to answer the questions below. Pie ordered Gender   Female Male Total Yes 96 40 136 No 224 240 464 Total 320 280 600 Given that the customer is a female, what is the probability that she will order a pie? Given that the customer does not order a pie, what is the probability that the customer is a male? What is the probability that the customer is either a male OR does not order pie?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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  1. The owner of an eating establishment is interested in studying ordering patterns of patrons for the weekend customers.  The owner wanted to know if pie was ordered and the gender of the individual.  The following data were collected.  Use the table to answer the questions below.

Pie ordered

Gender

 

Female

Male

Total

Yes

96

40

136

No

224

240

464

Total

320

280

600

  1. Given that the customer is a female, what is the probability that she will order a pie?
  2. Given that the customer does not order a pie, what is the probability that the customer is a male?
  3. What is the probability that the customer is either a male OR does not order pie?
  4. Is gender statistically independent of whether the person orders a pie? Prove it with math. 
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