Question

determine whether the following graph can represent a variable with a normal distribution. explain your reasoning. if the graph appears to represent a normal distribution, estimate the mean and standard deviation. could the graph represent a variable with a normal distribution? explain your reasoning. select the correct choice below and, if necessary, fill in the answer boxes within your choice. a. yes, the graph fulfills the properties of the normal distribution. the mean is approximately □ and the standard deviation is about □. (type whole numbers.) b. no, because the graph is skewed left. c. no, because the graph is skewed right. d. no, because the graph crosses the x - axis.

Explanation:

A normal distribution graph is symmetric about the mean and does not cross the x - axis (since the probability density function \(y = f(x)=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x - \mu)^2}{2\sigma^2}}\) is always positive for all real \(x\), where \(\mu\) is the mean and \(\sigma\) is the standard deviation). In the given graph, it crosses the x - axis.

Answer:

D. No, because the graph crosses the x - axis.