One quality characteristic for cabinet manufacturers is easy sliding drawers. A drawer is considered easy sliding if it does not get stuck when opened. His- torically, only 2% of the drawers get stuck. Ten drawers are randomly selected from a new lot. Each drawer is tested and all 10 must be easy sliding before the new lot is shipped. a. Find the probability that the lot will be shipped. b. Find the probability that at least one drawer will get stuck. c. Find the expected number of stuck drawers, the variance, and the standard deviation.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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One quality characteristic for cabinet manufacturers is easy sliding drawers.
A drawer is considered easy sliding if it does not get stuck when opened. His-
torically, only 2% of the drawers get stuck. Ten drawers are randomly selected
from a new lot. Each drawer is tested and all 10 must be easy sliding before the
new lot is shipped.
a. Find the probability that the lot will be shipped.
b. Find the probability that at least one drawer will get
stuck.
c. Find the expected number of stuck drawers, the variance, and the standard
deviation.
Transcribed Image Text:One quality characteristic for cabinet manufacturers is easy sliding drawers. A drawer is considered easy sliding if it does not get stuck when opened. His- torically, only 2% of the drawers get stuck. Ten drawers are randomly selected from a new lot. Each drawer is tested and all 10 must be easy sliding before the new lot is shipped. a. Find the probability that the lot will be shipped. b. Find the probability that at least one drawer will get stuck. c. Find the expected number of stuck drawers, the variance, and the standard deviation.
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