4.14 Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with a density of four per square meter. What is the probability of there being exactly five flaws on a sheet of glass of area 2 square meters?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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13-SECond period?
d. What is the probability of at least one arrival in a 15-second period?
4.14 Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with a density of four per
square meter. What is the probability of there being exactly five flaws on a sheet of glass of area
2 square meters?
4.15 On an average day in 2010, there were 21 traffic crashes that occurred on Minnesota roadways. What
is the probability that there were exactly 20 traffic crashes on Minnesota roadways in any given day
of 2010?
4.16 A shipment of 10 items has two defective and eight non-defective units. In the inspection of the
shipment, a sample of units will be selected and tested. If a defective unit is found, the shipment of
10 units will be rejected.
a. If a sample of three items is selected, what is the probability that the shipment will be rejected?
b. If a sample of four items is selected, what is the probability that the shipment will be rejected?
c. If a sample of five items is selected, what is the probability that the shipment will be rejected?
d. If management would like a 0.90 probability of rejecting a shipment with two defective and eight
non-defective units, how large a sample would you recommend?
Transcribed Image Text:13-SECond period? d. What is the probability of at least one arrival in a 15-second period? 4.14 Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with a density of four per square meter. What is the probability of there being exactly five flaws on a sheet of glass of area 2 square meters? 4.15 On an average day in 2010, there were 21 traffic crashes that occurred on Minnesota roadways. What is the probability that there were exactly 20 traffic crashes on Minnesota roadways in any given day of 2010? 4.16 A shipment of 10 items has two defective and eight non-defective units. In the inspection of the shipment, a sample of units will be selected and tested. If a defective unit is found, the shipment of 10 units will be rejected. a. If a sample of three items is selected, what is the probability that the shipment will be rejected? b. If a sample of four items is selected, what is the probability that the shipment will be rejected? c. If a sample of five items is selected, what is the probability that the shipment will be rejected? d. If management would like a 0.90 probability of rejecting a shipment with two defective and eight non-defective units, how large a sample would you recommend?
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