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In a day care center each child takesthree classes and either passes or fails each class. The grades are shown in the table below. Prepresents

In a day care center each child takesthree classes and either passes or fails each class. The grades are shown in the table below. Prepresents a passed class, and F represents a failed class. Let X represent the number of classes failed by a child. Construct a probability distribution for X.Arrange x in increasing order and write the probabilities P(x) assimplified fractions.

Child Grades
Child 1

PFP

Child 2

PPF

Child 3

FFP

Child 4

PPP

Child 5

PFP

Child 6

PPF

Child 7

FPF

Child 8

PPP

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