A Biology Professor Responds to Some Student Questions by E-Mail

question 75

Essay

A biology professor responds to some student questions by e-mail. The probability model
below describes the number of e-mails that the professor may receive from students
during a day. $$\begin{array} { l | c | c | c | c | c | c } \text { e-mails received } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Probability } & 0.05 & 0.10 & 0.20 & 0.25 & 0.30 & 0.10\end{array}$$
a. How many e-mails should the professor expect to receive each day?
b. What is the standard deviation?
c. If it takes the professor an average of ten minutes to respond to each e-mail, how much
time should the professor expect to spend responding to student e-mails each day?

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Definitions:

Supporting a Child

Involves providing emotional, social, and financial assistance to help a young person grow and develop in a healthy manner.

Reciprocity

A social principle involving mutual exchange where actions or exchanges are met with reciprocation.

Organization Skills

The ability to plan, manage time, keep order, and prioritize tasks effectively to increase efficiency and productivity.

Leadership Qualities

Characteristics attributed to individuals who can inspire, influence, and guide others towards achievement of common goals.