SOLUTION: 4 Data was collected and formed the table to the right in reference to swim lessons during July at an Aquatic Center for 199 distinct participants. Answer the following questions:

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Question 1020047: 4 Data was collected and formed the table to the right in reference to swim lessons during July at an Aquatic Center for 199 distinct participants. Answer the following questions: (HINT--it is useful to find the sums of rows and columns in the given table in order to answer many of the questions below.)

Aquatic Center Swim Lessons Given in July

Swim Categories Daytime Evenings
Preschool 12 31
Levels 91 28
Adult/Diving 8 29



a. Are the events "daytime" and "evening" for one randomly selected swimmer mutually exclusive? Explain.



b. Are the events "daytime" and "preschool" for one randomly selected swimmer mutually exclusive? Explain.


c. Find P(levels)--the probability that ONE randomly selected swimmer from the data set is in the levels group.



d. Find P(not levels)



e. Find P(preschool and daytime)


f. Find P(levels or evenings)


g. Find P(preschool | daytime)---probability of preschool given daytime category is preselected.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi  

Mutually Exclusive: can't happen at the same time

a. YES

b. NO

MUST finish Your Table to answer the rest:

    C   D  E   Tot

    PS  12  31   43

    Lv  91  28  119

    A/D  8  29   37  

TOT     111 88  199



c. P(levels) = 119/199

d. P(not levels) = 80/199

e. P(preschool and daytime)  = 12/199

f. P(levels or evenings)  = (91+88-28)/199

g. Find P(preschool | daytime)

P(A|B) = P(A and B)/P(B) Bayes Theorem

 P = (12/199)/(111/199) = 12/111 

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