A Statistic Professor Finds She Averages Five E-Mail Messages Per

question 65

Multiple Choice

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have no messages?

• A) 0.0067
• B) zero
• C) 0.0335
• D) Impossible to have no messages
• E) None of the choices are correct

---

Definitions:

Normal Populations

Refers to populations that follow a bell-shaped distribution curve, indicating a normal distribution of data.

Variance

A measure of variability that indicates the average squared deviation of each number from the mean of a data set, showing how spread out the data points are.

Significance Level

The threshold below which the p-value of test results must fall for the results to be considered statistically significant, typically denoted by alpha (α).

Normal Populations

Populations that follow a normal distribution, characterized by symmetrical bell-shaped curves where mean, median, and mode are equal.