Question:

The shape of the cumulative distribution function of Gaussian distribution is

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The CDF of a normal distribution has an S-shape, starting from 0 and approaching 1 as the value moves from negative to positive infinity.
Updated On: Jan 2, 2026
  • Horizontal line
  • Straight line at 45-degree angle
  • Bell-shaped
  • S-shaped
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The Correct Option is D

Solution and Explanation

The cumulative distribution function (CDF) of a Gaussian (normal) distribution is an S-shaped curve. This is because the CDF starts at 0, increases slowly at first, then steeply in the middle, and asymptotically approaches 1 as the value of the variable goes from negative to positive infinity. The characteristic "S" shape of the CDF represents the accumulation of probability. Therefore, the correct answer is option (D).
Final Answer: (D) S-shaped
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