Q. 7 - Elementary Statistics

Question

 Define

a. Normally distributed variable.

b. Normally distributed population.

c. Parameters for a normal curve.

Step-by-Step Solution

Answer

a. A regularly distributed variable is a random variable with a normal distribution.

The curve is known as a normal curve, and the illustration is as follows:

b. The term "normally distributed population" refers to a population that is considered under a random variable having a normal distribution.

c. Generally the mean is symbolically represents by  $\mu$and the standard deviation is symbolically represents by $\sigma$. 

Part (a) Step 1: Given Information

Define a normally distributed variable.  For a real-valued random variable, a normal distribution is a sort of continuous probability distribution.

Part (a) Step 2: Explanation

The normally distributed variable are,

A regularly distributed variable is a random variable with a normal distribution.

A bell-shaped curve is the normal distribution curve.

The curve is known as a normal curve, and the illustration is as follows:

Part (b) Step 1: Given Information

To define the normally distributed population.

Part (b) Step 2: Explanation

The term "normally distributed population" refers to a population that is considered under a random variable having a normal distribution.

A bell-shaped curve is the normal distribution curve.

The curve is known as a normal curve, and the illustration is as follows:

Part (c) Step 1: Given Information

To define the normally distributed population.

Part (c) Step 2: Explanation

The mean and standard deviation of the distribution are the parameters for any distribution.

Curve of normal distribution.

The mean and standard deviation of the data are also parameters.

Generally the mean is symbolically represents by $\mu$ and the standard deviation is symbolically represents by $\sigma$.