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Which of the following is false? The normal distribution is defined by two parameters, the mean...

  1. Which of the following is false?

The normal distribution is defined by two parameters, the mean and the standard deviation.

In a normal distribution, the probability that the random variable X takes a particular value is zero.

For a continuous random variable the probability associated with any values of the random variable is found by calculating the area under the relevant normal curve.

For a normal distribution, approximately two thirds of the observations will fall within two standard deviations either side of the mean.
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Answer #1

Answer - for normal distribution, approximately two third of the observation will fall within two standard deviation on either side of mean ,

However from the empricial evidence it is clear that 99.7% of the data observing normal distribution lies within three standard deviations from the mean

95% within two standard deviation from mean and 68% within one standard deviation from mean

Kindly please rate the answer and do feel free to ask in case of doubt

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