Question
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
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
Answers
GPT-4o mini
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**
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**