Suppose That the Distribution of Maximum Daily Temperatures in Hacienda $$F = \frac { 9 } { 5 } C + 32 .$$

question 48

Essay

Suppose that the distribution of maximum daily temperatures in Hacienda Heights,
CA, for the month of December has a mean of 17˚Celsius with a standard deviation of
3˚Celsius. Let the random variable F be the maximum daily temperature in degrees
Fahrenheit. The relation between Fahrenheit degrees (F) and Celsius degrees (C) is: $$F = \frac { 9 } { 5 } C + 32 .$$ a) What is the mean of F?
b) What is the standard deviation of F?

---

Definitions:

Heterotrophs

Organisms that cannot synthesize their own food and rely on other organisms — either plants or animals — for nutrition.

Nutrient

Substances obtained from food necessary for growth, metabolism, and for other body functions.

Ecosystem

Biological community together with the associated abiotic environment; characterized by a flow of energy and a cycling of inorganic nutrients.

Biologically Adapted

The process by which organisms or species change over time in response to environmental conditions, through alterations in their genetic composition or physical traits.