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alexmoramedina
13.06.2020 •
Mathematics
Classify the random variables below according to whether they are discrete or continuous.a. The number of people in a restaurant that has a capacity of 100.b. The height of a randomly selected giraffe.c. The square footage of a house.d. The number of light bulbs that burn out in the next week in a room with 10 bulbs.e. The number of points scored during a basketball game.
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Ответ:
a) Discrete
b) Continuous
c) Continuous
d) Discrete
e)Discrete
Step-by-step explanation:
Continuous:
Real numbers, can be integer, decimal, etc.
Discrete:
Only integer(countable values). So can be 0,1,2...
a. The number of people in a restaurant that has a capacity of 100.
You cannot have half a person, for example.
The possible number of people in the restaurant are 0, 1, 2,..., 100. So this variable is discrete.
b. The height of a randomly selected giraffe.
The giraffe can have half a meter, for example. That is, the height can be a decimal number. So this variable is continuous
c. The square footage of a house.
You can have half a square, for example. So this variable is continuous.
d. The number of light bulbs that burn out in the next week in a room with 10 bulbs.
Possible values: 0 bulbs, 1 bulb, ..., 10 bulbs
Only countable values.
So discrete
e. The number of points scored during a basketball game.
0 points, 1 point, 2 points, 10 points, ...
There are no half points in basketball.
So discrete
Ответ:
b^2 = 9^2 - 5^2
b^2 = 56
b = 7.5