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The probability of the average wait time (in hours) of a person seeking treatment during any given hour at an emergency room is shown in

The probability of the average wait time (in hours) of a person seeking treatment during any given hour at an emergency room is shown in the distribution.

X 1 2 3 4 5
P(x) 0.13 0.24 0.32 0.25 0.06

Mrs. Price brings her 3 children (Lucy, Andy, and Maura) to the emergency room for treatment for the flu. Let Y = the sum of the wait times for the treatment. (Only one pediatrician is in the emergency room.)

Find the mean waiting time for the 3 children (Y) and the standard deviation(Y) given that the wait times of each are independent.

Mean = 9 and SD = 2.74

Mean = 8.61 and SD = 2.136

Mean = 9 and SD = 4.74

Mean = 8.61 and SD = 1.923

Mean = 8.61 and SD = 3.33

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