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avatar+1195 

Ellie is investigating potential relationships between one having a canine pet preference and a female gender. Assume a survey of 101 randomly selected persons revealed the following data:

 

The probability of selecting a person with a feline pet preference is 0.251.

If a person with a feline pet preference is chosen, the probability they have a male gender is 0.538 and if a person with a canine pet preference is chosen, the probability they have a female gender is 0.427

 

If you were to choose a person at random from the sample, determine the probability they have a canine pet preference or a female gender.

 Dec 22, 2020
 #1
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+1

Again with the Venn diagram:

 

canine OR female =    (320 +116   + 135 )/1000 = .571

 

 

 Dec 22, 2020
 #2
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*** edit ***

 

canine OR female =    (320 +116   + 429 )/1000 = .865

Guest Dec 22, 2020
 #3
avatar+117724 
+2

Here's my best attempt

 

Easiest way to do this is  with a  table....we will have to round a little  so that we get whole numbers....

 

                Canine  Preference          Feline Preference

Male                 ???                              .538 *.251 * 101

 

Female       .427 * ( 1-.251) * 101             ???

                _______________________________________   

                  (1-.251) * 101                       .251 * 101

 

Filling in what we  know and  solving  for  what we don't.... we have

 

 

                  Canine Preference             Feline Preference             Total

Male                ≈  44                                      ≈  14                          ≈ 58                                             

 

Female            ≈  32                                       ≈ 11                          ≈ 43                          

                 _________________________________________________                                

                       ≈  76                                        ≈ 25                           101

 

 

 

P ( canine preference  or female gender )  =

 

P ( canine)  + P (female)  - P ( canine and female)  =

 

 76/101  + 43/101  - 32/101  = 

 

≈ 87 / 101

 

 

cool cool cool

 Dec 22, 2020

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