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12 October, 20:20

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable.

(a) The number of hits to a website in a day

(b) The amount of rain in City Upper B during April

(c) The response to the survey question "Did you smoke in the last week question mark "

(d) The number of statistics students now reading a book

(e) The number of light bulbs that burn out in the next week in a room with 16 bulbs

(f) The height of a randomly selected giraffe

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  1. 12 October, 21:48
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    a) discrete random variable

    b) continuous random variable

    c) Not a random variable

    d) discrete random variable

    e) discrete random variable

    f) continuous random variable

    Step-by-step explanation:

    First, let's remember the following definitions:

    A discrete random variable is a variable that takes a countable number of values and the sum of all of them equals one; it depends on a random phenomenon. A continuous random variable is a variable that can take an infinite uncountable values (for example in the real numbers) and it depends on a random phenomenon

    With these definitions in mind we have:

    a) The number of hits to a website in a day: Discrete random variable (it takes a countable number of values (1,2,3,4 ...)

    b) The amount of rain in City Upper B during April: Continuous random variable (the amount of rain falls in the real numbers)

    c) The response to the survey question "Did you smoke in the last week?": not a random variable. There are only two answers: yes or no.

    d) The number of statistics students now reading a book: Discrete variable (it can be 1, 2, 3,4, ... students)

    e) The number of light bulbs that burn out in the next week in a room with 16 bulbs: Discrete random variable (the possible outcomes are 0,1,2 ... 15,16)

    f) The height of a randomly selected giraffe: Continuous random variable. (the height values are real numbers)
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