A total of 30% of the students who viewed dessert photographs picked going campi

Question

A total of 30% of the students who viewed dessert photographs picked going camping, while 10% of the students who viewed nature photographs chose this option Consider this experiment: The study is rerun on a randomly selected college student. Let Dthe event the student views dessert pictures; Nthe event the student views nature pictures; Cthe event the student picks going camping; and S the event the student picks studying. 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 going camping and studying (Step 2) Step 1 Step 2 (D, C) Probabity #1 Probablity #2 (DS) . (N, C) (N. S) Probabity #3 Find the values of the three designated probabilities, and enter them in the following table (round probabilities to two decimal places).

Explanation / Answer

here Probabilty #1 =P(strudent views Dessert picture)=0.5

probability #2 =P(S|D) =1-P(C|D) =1-0.30 =0.7

probability #3 =P(N)*P(S|N )=0.5*(1-0.1)=0.45

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