12. [1/3 Points] DETAILS MY NOTES DEVORESTAT9 2.5.083. PREVIOUS ANSWERS PRACTICE ANOTHER ASK YOUR TEACHER Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 82% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 36% of all defective components. What is the probability that the following occur? (a) A defective component will be detected only by the first inspector? 0.18 A defective component will be detected by exactly one of the two inspectors? (b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)? .047 Need Help? Read It Submit Answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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12. [1/3 Points]
DETAILS
MY NOTES
DEVORESTAT9 2.5.083.
PREVIOUS ANSWERS
PRACTICE ANOTHER
ASK YOUR TEACHER
Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both
inspectors). The first inspector detects 82% of all defectives that are present, and the second inspector does likewise. At least one
inspector does not detect a defect on 36% of all defective components. What is the probability that the following occur?
(a) A defective component will be detected only by the first inspector?
0.18
A defective component will be detected by exactly one of the two inspectors?
(b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different
components are independent of one another)?
.047
Need Help?
Read It
Submit Answer
Transcribed Image Text:12. [1/3 Points] DETAILS MY NOTES DEVORESTAT9 2.5.083. PREVIOUS ANSWERS PRACTICE ANOTHER ASK YOUR TEACHER Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 82% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 36% of all defective components. What is the probability that the following occur? (a) A defective component will be detected only by the first inspector? 0.18 A defective component will be detected by exactly one of the two inspectors? (b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)? .047 Need Help? Read It Submit Answer
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