http://www.ck12.org Chapter 5. Applications of Definite Integrals
- Supposef(x)is the probability density function for the lifetime of a manufacturer’s light bulb, wherexis
measured in hours. Explain the meaning of each integral.
a.∫ 10005000 f(x)dx
b.∫ 3000 ∞ f(x)dx - The length of time a customer spends waiting until his/her entree is served at a certain restaurant is modeled
by an exponential density function with an average time of 8 minutes.
a. What is the probability that a customer is served in the first 3 minutes?
b. What is the probability that a customer has to wait more than 10 minutes? - The average height of an adult female in Los Angeles is 63.4 inches (5 feet3.4 inches) with a standard deviation
of 3.2 inches.
a. What is the probability that a female’s height is less than 63.4 inches?
b. What is the probability that a female’s height is between 63 and 65 inches?
c. What is the probability that a female’s height is more than 6 feet?
d. What is the probability that a female’s height is exactly 5 feet?
Texas Instruments Resources
In the CK-12 Texas Instruments Calculus FlexBook, there are graphing calculator activities designed to supple-
ment the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9730.