Answer :
A symmetrical probability distribution with only one peak is the normal distribution. The curve's points intersect the x-axis at z=0, and the mean, median, and mode are all equal. The normal distribution does not, however, always have a bell-shaped curve. It can assume many different forms.
The normal distribution is a symmetrical probability distribution that is typically represented by a bell-shaped curve. It is defined by its mean (μ), standard deviation (σ), and total area under the curve (1). The mean is the average value, the standard deviation is a measure of the spread of the data, and the area under the curve is equal to 1.To calculate the normal distribution, we first need to find the Z-score, which is the number of standard deviation units a given value is from the mean. We then plug the Z-score into the normal distribution formula: f(x) = (1/√2πσ) e^-((x-μ)^2/2σ^2). This formula gives the probability of any given value in the normal distribution. We can then calculate the probability of a given range of values by subtracting the area under the curve for that range from the area under the curve for the whole distribution.
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