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Continuous Probability Functions Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study

  1. For continuous probability distributions, probability is equal to:

    • Width
    • Slope
    • Height
    • Area
    Reveal answer

    Answer: Area

    Source evidence

    PDF page 315: We begin by defining a continuous probability density function. We use the function notation f(x). Intermediate algebra may have been your first formal introduction to functions. In the study of probability, the functions we study are special. We define the function f(x) so that the area between it and the x-axis is equal to a probability. Since the maximum probability is one, the maximum area is also one. For continuous probability distributions, PROBABILITY = AREA.

  2. What function notation is used to define a continuous probability density function?

    • f(x)
    • P(n)
    • h(t)
    • g(A)
    Reveal answer

    Answer: f(x)

    Source evidence

    PDF page 315: We begin by defining a continuous probability density function. We use the function notation f(x). Intermediate algebra may have been your first formal introduction to functions. In the study of probability, the functions we study are special. We define the function f(x) so that the area between it and the x-axis is equal to a probability. Since the maximum probability is one, the maximum area is also one. For continuous probability distributions, PROBABILITY = AREA.

  3. Since the maximum probability is one, the maximum area is also:

    • Twenty
    • One
    • Zero
    • Ten
    Reveal answer

    Answer: One

    Source evidence

    PDF page 315: We begin by defining a continuous probability density function. We use the function notation f(x). Intermediate algebra may have been your first formal introduction to functions. In the study of probability, the functions we study are special. We define the function f(x) so that the area between it and the x-axis is equal to a probability. Since the maximum probability is one, the maximum area is also one. For continuous probability distributions, PROBABILITY = AREA.

  4. The function f(x) is defined so that the area between it and the x-axis equals a:

    • Slope
    • Distance
    • Volume
    • Probability
    Reveal answer

    Answer: Probability

    Source evidence

    PDF page 315: We begin by defining a continuous probability density function. We use the function notation f(x). Intermediate algebra may have been your first formal introduction to functions. In the study of probability, the functions we study are special. We define the function f(x) so that the area between it and the x-axis is equal to a probability. Since the maximum probability is one, the maximum area is also one. For continuous probability distributions, PROBABILITY = AREA.

  5. For the function f(x) with 0 ≤ x ≤ 20, the graph of f(x) is a:

    • Parabola
    • Curve
    • Vertical line
    • Horizontal line
    Reveal answer

    Answer: Horizontal line

    Source evidence

    PDF page 315: for 0 ≤ x ≤ 20. x = a real number. The graph of f(x) =

    PDF page 315: is a horizontal line. However, since

  6. For f(x) restricted to 0 ≤ x ≤ 20, the graph is a horizontal line:

    • Curve
    • Ray
    • Circle
    • Segment
    Reveal answer

    Answer: Segment

    Source evidence

    PDF page 315: is a horizontal line segment when 0 ≤ x ≤ 20.

  7. The area between f(x) where 0 ≤ x ≤ 20 and the x-axis is the area of a:

    • Trapezoid
    • Triangle
    • Circle
    • Rectangle
    Reveal answer

    Answer: Rectangle

    Source evidence

    PDF page 315: where 0 ≤ x ≤ 20 and the x-axis is the area of a rectangle with base = 20 and height = .

  8. For the area between f(x) and the x-axis with 0 ≤ x ≤ 20, the base equals:

    • 10
    • 20
    • 15
    • 5
    Reveal answer

    Answer: 20

    Source evidence

    PDF page 315: where 0 ≤ x ≤ 20 and the x-axis is the area of a rectangle with base = 20 and height = .

  9. The area of a rectangle is calculated as:

    • (base)(height)
    • (base)/(height)
    • 2(base)(height)
    • (base)+(height)
    Reveal answer

    Answer: (base)(height)

    Source evidence

    PDF page 316: area of a rectangle = (base)(height)

  10. The probability that x is between zero and two, P(0 < x < 2), equals:

    • 0.1
    • 0.55
    • 0.5
    • 1.0
    Reveal answer

    Answer: 0.1

    Source evidence

    PDF page 316: The area corresponds to a probability. The probability that x is between zero and two is 0.1, which can be written

    PDF page 316: mathematically as P(0 < x < 2) = P(x < 2) = 0.1.

  11. For the function, P(4 < x < 15) equals:

    • 0.1
    • 0.55
    • 1.0
    • 0.45
    Reveal answer

    Answer: 0.55

    Source evidence

    PDF page 316: The area corresponds to the probability P(4 < x < 15) = 0.55. Suppose we want to find P(x = 15). On an x-y graph, x = 15 is a vertical line. A vertical line has no width (or zero width).

  12. On an x-y graph, x = 15 represents a:

    • Rectangle
    • Vertical line
    • Horizontal line
    • Point above axis
    Reveal answer

    Answer: Vertical line

    Source evidence

    PDF page 316: The area corresponds to the probability P(4 < x < 15) = 0.55. Suppose we want to find P(x = 15). On an x-y graph, x = 15 is a vertical line. A vertical line has no width (or zero width).

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Source

Statistics

Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.

Original textbook · CC BY 4.0

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