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Consider the following set of random variables: A. Total number of points scored during a football game B. Lifespan in hours of a halogen light bulb C. Height in feet of the ocean's tide at a given location D. Number of fatalities in civilian aircraft crashes in a given year E. Length in inches of an adult rattlesnake Which of these are continuous random variables?

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Answer:

B. Lifespan in hours of a halogen light bulb

C. Height in feet of the ocean's tide at a given location

E. Length in inches of an adult rattlesnake

Explanation:

Continuous random variable.

  • A variable is said to be random continuous variable if the value of variable can be expressed in an interval.
  • It may have any value in an interval.
  • The values are measured and not counted.
  • Their value ca be expressed in the form of decimals.

A. Total number of points scored during a football game

Since these cannot be explained in the form of decimals, they cannot take any variable over an interval. thus, they are not continuous random variable.

B. Lifespan in hours of a halogen light bulb

This s a continuous random variable as this value is measured and can be expressed in the form of decimals.

C. Height in feet of the ocean's tide at a given location

This s a continuous random variable as this value is measured and can be expressed in the form of decimals.

D. Number of fatalities in civilian aircraft crashes in a given year

Since these cannot be explained in the form of decimals, they cannot take any variable over an interval. thus, they are not continuous random variable

E. Length in inches of an adult rattlesnake

This s a continuous random variable as this value is measured and can be expressed in the form of decimals.

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