Continuous Probability Functions

Q1. What type of data is represented by the following options?

• A) Discrete

• B) Continuous

• Discrete
• Continuous

Can the function in the given table be a probability distribution function?

• Yes, because all the probabilities are between 0 and 1

• No, because the sum of the probabilities is not 1

• Yes, because the sum of the probabilities is 1

• Yes, because it is in a table format.

• No, because some probabilities are less than zero.

Let 𝑋 be the random variable that represents the number of patients who visit a dental clinic per hour. The probability distribution of 𝑋 is shown in the table below. Find the probability that at most 13 patients visit the clinic in a given hour. (write your answers to 2 decimal places)

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. Let X = the number of years a new hire will stay with the company. Let P(x) = the probability that a new hire will stay with the company x years. Complete Table 4.19 using the data provided. P(x = 4) = _______

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. Let X = the number of years a new hire will stay with the company. Let P(x) = the probability that a new hire will stay with the company x years. Complete Table 4.19 using the data provided and calculate P(x ≥ 5) = _______

This type of random variable can take on any real number value.

• Discrete

• Value

• Real

• Continuous

What does P(Y<3) mean?

• The probability that the random variable Y is greater than 3.

• The probability that the random variable Y is less than 3.

• The probability that the random variable X is greater than 3.

• The probability that the random variable X is less than 3.

Is the graph pictured discrete or continuous?

• Discrete

• Continuous