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What is the range, mean, and variance of normal probability curve?
Question

What is the range, mean, and variance of normal probability curve?

A.

−∞ to +∞; μ; σ²

B.

−3 to +3; μ; σ²

C.

−∞ to +∞; 0; σ²

D.

−3 to +3; 0; 1

Correct option is A

The normal probability distribution has a theoretical range from negative infinity to positive infinity, with mean μ (mu) and variance σ² (sigma squared).

Information Booster:
• The normal distribution is a continuous probability distribution that is symmetric and bell-shaped
• While the curve theoretically extends infinitely in both directions, approximately 99.7% of values fall within 3 standard deviations of the mean (68-95-99.7 rule)
• The mean (μ) represents the center of the distribution and can be any real number
• Variance (σ²) measures the spread of the distribution; standard deviation (σ) is the square root of variance
• The area under the entire curve equals 1, representing 100% probability
• Normal distribution is defined by two parameters: mean (location) and variance (spread), denoted as N(μ, σ²)

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