14 ounces. 34. If you are really bad at darts, then the PDF for the distance x (in inches) that your dart is from the center of a 12- inch dartboard may be given by if 0 < x < 12 f(x) = 72 %3D atini elsewhere a. Verify that f(x) is a PDF. b. Compute the probability that your dart is more than 9 inches from the center. c. Compute the probability that you dart is less than 3 inches from the center. Note: This PDF assumes that you are equally likely

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#34
Let f(x) represent the PDF for the weight of a
pigeon in New York City where x is measured
in ounces. Express the following probabilities as
integrals: do
a. A randomly chosen pigeon does not weigh
between 13 and 14 ounces.
b. A
randomly chosen pigeon is in the weight class
12–15 ounces, but does not weigh between 13 and
14 ounces.
34. If you are really bad at darts, then the PDF for the
distance x (in inches) that your dart is from the
center of a 12- inch dartboard may be given by
if 0 < x < 12
of(x) =
elsewhere
a. Verify that f(x) is a PDF.
b. Compute the probability that your dart is more
than 9 inches from the center.
c. Compute the probability that you dart is less than
3 inches from the center.
Note: This PDF assumes that you are equally likely
to hit any point on the dartboard (a fact that you are
asked to verify in Problem 25 of Problem Set 7.3).
35. Suppose you are a champion dart player with a PDF
the distancer (in inches) that your dart is from
Transcribed Image Text:Let f(x) represent the PDF for the weight of a pigeon in New York City where x is measured in ounces. Express the following probabilities as integrals: do a. A randomly chosen pigeon does not weigh between 13 and 14 ounces. b. A randomly chosen pigeon is in the weight class 12–15 ounces, but does not weigh between 13 and 14 ounces. 34. If you are really bad at darts, then the PDF for the distance x (in inches) that your dart is from the center of a 12- inch dartboard may be given by if 0 < x < 12 of(x) = elsewhere a. Verify that f(x) is a PDF. b. Compute the probability that your dart is more than 9 inches from the center. c. Compute the probability that you dart is less than 3 inches from the center. Note: This PDF assumes that you are equally likely to hit any point on the dartboard (a fact that you are asked to verify in Problem 25 of Problem Set 7.3). 35. Suppose you are a champion dart player with a PDF the distancer (in inches) that your dart is from
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