A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight.

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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 its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.

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

Could you also explan how the probability 2/50 and how this is determined? Or how the expected outcome of p(x) is determined?

A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during
a 12-hour shift. For a random sample of 50 patients, the following information was obtained. Let X = the number of
times a patient rings the nurse during a 12-hour shift. For this exercise, x = 0, 1, 2, 3, 4, 5. P(x) = the probability that X
takes on value x. Why is this a discrete probability distribution function (two reasons)?

Please explain in-depth of the complete problems.