b. The mean, median, and mode are equal in a normal diser Is this statement true or false? Explain your answer. c. A normal distribution is bimodal. Is this statement true or false? Explain your answer. d. In a normal distribution, exactly 50% of the population is within one standard deviation of the mean. Is this statement true or false? Explain your answer.

## Step 1: Mean, Median, and Mode in a Normal Distribution<br />### A normal distribution is a symmetrical, bell-shaped distribution where the mean, median, and mode are all equal and located at the center of the distribution. This is a fundamental property of normal distributions.<br />## Step 2: Modality of a Normal Distribution<br />### A normal distribution has only one peak, located at the mean. This means it is unimodal, not bimodal. A bimodal distribution has two distinct peaks.<br />## Step 3: Percentage within One Standard Deviation<br />### In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. This is a key characteristic often referred to as the 68-95-99.7 rule (or the empirical rule).