Find the values of the three designated probabilities, and enter them in the following table (round probabilities to two decimal places). Probability Value Probability #1 Probability #2 Probability #3 What is the probability that the randomly selected student picks the attractive job candidate? 0.5 0.375 0.75 0.625 What is the prior probability that the randomly selected student viewed nature pictures? O 0.5 0.6 O 0.3 0.8 Now use the information that the student picked the attractive job candidate to compute the posterior probability that the student viewed na pictures. The posterior probability is▼ . Given the information that the student picked the attractive job candidate, what's the posterior probability that the student viewed dessert p 1.50 0.13

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A total of 50% of the students who viewed dessert photographs picked the attractive job candidate, while 25% of the students who viewed nature
photographs chose this option.
Consider this experiment: The study is rerun on a randomly selected college student.
Let D
the event the student views dessert pictures;
N
the event the student views nature pictures;
=
A
the event the student picks the attractive job candidate; and
C
the event the student picks the competent job candidate.
The following tree diagram depicts the process of the student being randomly assigned to view either dessert or nature pictures (Step 1) and his or
her subsequent choice between the attractive job candidate and the competent job candidate (Step 2).
Step 1
Step 2
(D, A)
D
Probability #1
Probability #2
(D C)
(N, A)
N
(N, C) Probability #3
Transcribed Image Text:A total of 50% of the students who viewed dessert photographs picked the attractive job candidate, while 25% of the students who viewed nature photographs chose this option. Consider this experiment: The study is rerun on a randomly selected college student. Let D the event the student views dessert pictures; N the event the student views nature pictures; = A the event the student picks the attractive job candidate; and C the event the student picks the competent job candidate. The following tree diagram depicts the process of the student being randomly assigned to view either dessert or nature pictures (Step 1) and his or her subsequent choice between the attractive job candidate and the competent job candidate (Step 2). Step 1 Step 2 (D, A) D Probability #1 Probability #2 (D C) (N, A) N (N, C) Probability #3
Find the values of the three designated probabilities, and enter them in the following table (round probabilities to two decimal places).
Probability
Value
Probability #1
Probability #2
Probability #3
What is the probability that the randomly selected student picks the attractive job candidate?
O 0.5
O 0.375
0.75
O 0.625
What is the prior probability that the randomly selected student viewed nature pictures?
O 0.5
O 0.6
O 0.3
O 0.8
Now use the information that the student picked the attractive job candidate to compute the posterior probability that the student viewed nature
pictures. The posterior probability is v
Given the information that the student picked the attractive job candidate, what's the posterior probability that the student viewed dessert pictures?
O 1.50
O 0.13
O 0.67
Transcribed Image Text:Find the values of the three designated probabilities, and enter them in the following table (round probabilities to two decimal places). Probability Value Probability #1 Probability #2 Probability #3 What is the probability that the randomly selected student picks the attractive job candidate? O 0.5 O 0.375 0.75 O 0.625 What is the prior probability that the randomly selected student viewed nature pictures? O 0.5 O 0.6 O 0.3 O 0.8 Now use the information that the student picked the attractive job candidate to compute the posterior probability that the student viewed nature pictures. The posterior probability is v Given the information that the student picked the attractive job candidate, what's the posterior probability that the student viewed dessert pictures? O 1.50 O 0.13 O 0.67
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