Discrete normal distribution pdf

Use the following information to answer the next six exercises: A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. What is the probability the baker will sell more than one batch?

What is the probability the baker will sell exactly one batch? Use the following information to answer the next four exercises: Ellen has music practice three days a week. One week is selected at random. We know that for a probability distribution function to be discrete, it must have two characteristics.

One is that the sum of the probabilities is one. What is the other characteristic? Use the following information to answer the next five exercises: Javier volunteers in community events each month. He does not do more than five events in a month. Find the probability that Javier volunteers for less than three events each month. Find the probability that Javier volunteers for at least one event each month. Skip to content Discrete Random Variables.

The sum of the probabilities is one, that is,. Try It. X takes on what values? Chapter Review The characteristics of a probability distribution function PDF for a discrete random variable are as follows: Each probability is between zero and one, inclusive inclusive means to include zero and one. The sum of the probabilities is one. Use the following information to answer the next five exercises: A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company.

Over the years, they have established the following probability distribution. Complete Figure using the data provided. On average, how long would you expect a new hire to stay with the company? Define the random variable X.

On average, how many batches should the baker make? Instead, they are obtained by measuring. These values are obtained by measuring by a thermometer. Another example of a continuous random variable is the height of a randomly selected high school student. The value of this random variable can be 5'2", 6'1", or 5'8".

Those values are obtained by measuring by a ruler. A discrete probability distribution function has two characteristics:.

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. X takes on the values 0, 1, 2, 3, 4, 5. This is a discrete PDF because we can count the number of values of x and also because of the following two reasons:.

A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a hour shift.

For a random sample of 50 patients, the following information was obtained. Why is this a discrete probability distribution function two reasons? Suppose Nancy has classes three days a week. She attends classes three days a week 80 percent of the time, two days 15 percent of the time, one day 4 percent of the time, and no days 1 percent of the time.

Suppose one week is randomly selected. Describe the random variable in words. In this example, what are possible values of X? Suppose one week is randomly chosen. Construct a probability distribution table called a PDF table like the one in Example 4. The table should have two columns labeled x and P x.

The sum of the P x column is 0.