A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby's crying wakes it mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5

P(x) = probability that X takes on a value x

Is this an example of a discrete PDF? Why or why not?

X P(x)

0 P(x 0) = 2/50

1 P(x - 1) - 11/50

2 P(x = 2) = 23/50

3 P(x = 3) = 9/50

4 P(x - 4) - 4/50

5 P(x - 5) - 1/50