Asked by Zaylah Harris on Jul 11, 2024

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For a continuous random variable x, P(6 < x < 8) is represented by the area under the probability function over the interval from 6 to 8.

Continuous Random Variable

A variable that can take on an infinite number of values within a given range, representing quantities that can be subdivided indefinitely.

Probability Function

A mathematical function that determines the likelihood of various potential outcomes for an experiment.

Interval

A range of numbers between two specified limits, often used in the context of confidence intervals in statistics.

  • Identify the dynamics of continuous random variables and the principle of an interval of values.
  • Comprehend the role of the normal distribution in statistical analysis and its properties.
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Verified Answer

JJ
Jacole JonesJul 12, 2024
Final Answer :
True
Explanation :
This statement is true. The probability of a continuous random variable taking on a specific value is zero, so we represent probabilities as areas under the probability function over intervals. Therefore, P(6 < x < 8) is indeed represented by the area under the probability function over the interval from 6 to 8.