Type T for true or F for false next to each statement:

There is only one normal distribution.

There is only one standard normal distribution.

Standard normal distribution has mean 0 and standard deviation 1.

Density function of every normal distribution is bell shaped.

Each normal distribution is characterized by its mean and standard deviation.

Density function of every normal distribution is symmetric about the mean

Density function of every normal distribution is symmetric about the variance

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

Here are the answers to the statements:

1. There is only one normal distribution. - **F**
2. There is only one standard normal distribution. - **T**
3. Standard normal distribution has mean 0 and standard deviation 1. - **T**
4. Density function of every normal distribution is bell shaped. - **T**
5. Each normal distribution is characterized by its mean and standard deviation. - **T**
6. Density function of every normal distribution is symmetric about the mean. - **T**
7. Density function of every normal distribution is symmetric about the variance. - **F**