Questions: Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The hair color of adults in the United States c. The time it takes for a light bulb to burn out d. The number of people in a restaurant that has a capacity of 150 e. The time it takes to drive from City A to City B f. The number of light bulbs that burn out in the next year in a room with 19 bulbs e. Is the time it takes to drive from City A to City B a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.

Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The hair color of adults in the United States c. The time it takes for a light bulb to burn out d. The number of people in a restaurant that has a capacity of 150 e. The time it takes to drive from City A to City B f. The number of light bulbs that burn out in the next year in a room with 19 bulbs e. Is the time it takes to drive from City A to City B a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Transcript text: Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The hair color of adults in the United States c. The time it takes for a light bulb to burn out d. The number of people in a restaurant that has a capacity of 150 e. The time it takes to drive from City A to City B f. The number of light bulbs that burn out in the next year in a room with 19 bulbs e. Is the time it takes to drive from City A to City B a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
failed

Solution

failed
failed

Solution Steps

To determine whether a value is a continuous random variable, discrete random variable, or not a random variable, consider the nature of the data:

  • A continuous random variable can take any value within a given range (e.g., time, weight).
  • A discrete random variable can take specific, separate values (e.g., number of people, number of items).
  • If the value is not numerical or does not vary, it is not a random variable.

For the first three parts: a. The time required to upload a file to the Internet is a continuous random variable because time can take any value within a range. b. The hair color of adults in the United States is not a random variable because it is categorical, not numerical. c. The time it takes for a light bulb to burn out is a continuous random variable because time can take any value within a range.

Step 1: Classify the First Variable

The first variable is "The time required to upload a file to the Internet." Since time can take any value within a range, it is classified as a continuous random variable. Thus, we have: \[ \text{Classification: Continuous random variable} \]

Step 2: Classify the Second Variable

The second variable is "The hair color of adults in the United States." This variable is categorical and does not represent numerical values that can vary. Therefore, it is classified as not a random variable: \[ \text{Classification: Not a random variable} \]

Step 3: Classify the Third Variable

The third variable is "The time it takes for a light bulb to burn out." Similar to the first variable, this is also a measure of time, which can take any value within a range. Hence, it is classified as a continuous random variable: \[ \text{Classification: Continuous random variable} \]

Final Answer

The classifications for the variables are as follows:

  1. The time required to upload a file to the Internet: \(\text{Continuous random variable}\)
  2. The hair color of adults in the United States: \(\text{Not a random variable}\)
  3. The time it takes for a light bulb to burn out: \(\text{Continuous random variable}\)

Thus, the final answer is: \[ \boxed{ \begin{align*}

  1. & \text{ Continuous random variable} \\
  2. & \text{ Not a random variable} \\
  3. & \text{ Continuous random variable} \end{align*} } \]
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Below is the graph of y=x. Translate it to make it the graph of y=x-4.
failedAnswered
4. Which action minimizes the risk of introducing glass particles into the syringe when drawing medication from an ampule? A. Using minimal force to snap the neck of the ampule B. Using gauze to cover the top of the ampule when snapping it C. Using a filter needle or straw to draw the medication from the ampule D. Allowing the medication to settle after the ampule has been snapped open Which action might the nurse take when drawing up medication from an ampule? A. Hold the ampule upside down while inserting the filter needle. B. Inject air into the ampule before withdrawing the medication. C. Hold the ampule horizontally while inserting the filter needle. D. Expel air bubbles from the syringe while the filter needle is still inside the ampule.
failedAnswered
What is the volume of a 2.5 g block of metal if its density is 4.75 g / cm^3 ? 0.53 cm^3 1.9 cm^3 2.5 cm^3 4.75 cm^3 11.9 cm^3
failedAnswered
Below is a graph of triangle VTQ: V(2,-3), T(5,-2), Q(-5,-1) Graph the points after the given translation. Clear All Draw: Polygon Find the location of each point after the given translation. (x, y) -> (x+1, y+6) V' = T' = Q' =
failedAnswered
A poll showed that 59.5% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life? Probability = % (Please round your answer to one decimal place.)