Online Test 2 Question 4 Answer

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Online Test 2 

4.  Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.

(a) The number ofpeople in a restaurant that has a capacity of 100
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(b) Thesquare footage of a house

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​(a) Is the number of people in a restaurant that has a capacity of 100 discrete or​ continuous?

  1. The random variable is discrete. The possible values are x = ​0, ​1, ​2,…, 100
  2. The random variable is discrete. The possible values are 0 less than or equals x less than or equals 100
  3. The random variable is continuous. The possible values are x = ​0, ​1, ​2,… 100
  4. The random variable is continuous. The possible values are 0 less than or equals x less than or equals 100

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​(b) Is the square footage of a house discrete or​ continuous?

  1. The random variable is continuous. The possible values are a greater than 0
  2. The random variable is discrete. The possible values are a equals 1, 2 , 3 , …
  3. The random variable is discrete. The possible values are a greater than 0
  4. The random variable is continuous. The possible values are a equals 1 ,  2 , 3 , …

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This question is taken from Math 227 – Statistics » Summer 2021 » Online Test 2