Concept explainers
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
Why is this a discrete probability distribution (two reasons).
Answer to Problem 4.1TI
The two reasons this is a discrete probability distribution are:
- Each probability is between zero and one.
- The sum of probabilities is one.
Explanation of Solution
Given:
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.
Concept Used:
In statistic, discrete probability distribution is the one which describes the probability of happening of each value of discrete random variable. A discrete random variable is a random variable that has countable values such as the outcomes of dice related to rolling a dice once. A discrete probability distribution has two characteristics and these are:
- Each probability is between zero and one, inclusive.
- The sum of probabilities is one.
In the given problem, we are given the probability distribution of random variable the number of times a patient rings the nurse during a 12-hour shift. Now, let’s check these two characteristics.
We clearly see all the probabilities of the given random variable is between zero and one.
The sum of probabilities is:
Therefore, the two reasons to consider the given probability distribution are:
- Each probability of the given random experiment is between zero and one.
- The sum of probabilities of the given random experiment is one.
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