It makes life a lot easier for us if we standardize our normal curve, with a mean of zero and a standard deviation of 1 unit. The probability of a continuous normal variable X found in a particular interval is the area under the curve bounded by `x = a` and `x = b` and is given byĪnd the area depends upon the values of μ and σ. Area Under the Normal Curve using Integration In a normal distribution, only 2 parameters are needed, namely μ and σ 2. It is completely determined by its mean and standard deviation σ (or variance σ 2) The total area under the curve is equal to 1 The mean is at the middle and divides the area into halves The normal curve is symmetrical about the mean μ Continues below ⇩ Properties of a Normal Distribution
