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In continuous probability distribution F(x) is called.
  • a)
    frequency distribution function
  • b)
    cumulative distribution function
  • c)
    probability density function
  • d)
    none
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In continuous probability distribution F(x) is called.a)frequency dist...
Continuous Probability Distribution:
Continuous probability distributions are used to model events that can take on any value within a given range. Unlike discrete probability distributions, which are used for events with distinct outcomes, continuous probability distributions represent events with a range of possible outcomes.

Cumulative Distribution Function (CDF):
The cumulative distribution function (CDF) is a function that provides the probability that a random variable takes on a value less than or equal to a given value. It gives the cumulative probability distribution of a random variable.

Explanation:
In the given question, the continuous probability distribution is represented by the function F(x). We need to identify the correct term for this function.

- The frequency distribution function (option A) is used for discrete probability distributions, where it represents the frequency of each outcome in a set of data.
- The probability density function (option C) is used to describe the probability distribution of a continuous random variable. It gives the probability density at each point in the range of the random variable.
- The cumulative distribution function (option B) is the correct answer. It describes the cumulative probabilities of a continuous random variable up to a given value. It gives the probability that the random variable takes on a value less than or equal to a given value.

The cumulative distribution function, F(x), is an important concept in probability theory and statistics. It allows us to calculate probabilities for a continuous random variable by integrating the probability density function over a certain range.

Therefore, the correct answer is option B, the cumulative distribution function (CDF).
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In continuous probability distribution F(x) is called.a)frequency distribution functionb)cumulative distribution functionc)probability density functiond)noneCorrect answer is option 'B'. Can you explain this answer?
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