Question

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.

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

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