In its standardized form, what properties does the normal distribution have?

A. The normal distribution has a mean of 1 and a variance of 0.

B. The normal distribution has a mean of 0 and a standard deviation of 1.

C. The normal distribution cannot be used to approximate discrete probability distributions.

D. The normal distribution has an area equal to 0.5.

Question

Mathematics

Colby Irwin

21 June, 13:25

In its standardized form, what properties does the normal distribution have?

A. The normal distribution has a mean of 1 and a variance of 0.

B. The normal distribution has a mean of 0 and a standard deviation of 1.

C. The normal distribution cannot be used to approximate discrete probability distributions.

D. The normal distribution has an area equal to 0.5.

+4

Answers (1)

Know the Answer?

Brice Estrada · Answer 1

B. The normal distribution has a mean of 0 and a standard deviation of 1.

C. The normal distribution cannot be used to approximate discrete probability distributions.

Step-by-step explanation:

We have to find the properties of normal distribution:

A) The given statement is false.

B) The given statement is true.

The normal distribution has a mean of 0 and a standard deviation of 1.

C) The given statement is true.

The normal distribution cannot be used to approximate discrete probability distributions because it is a continuous distribution and probability at any discrete value is zero.

D) The given statement is false.

The normal distribution has an area equal to 1.