In a water treatment plant, 24 raw water tanks are used to hold untreated water pumped from a nearby source. Four tanks are selected at random and without replacement for general water characterization tests in the laboratory. Suppose that six tanks contain water with elevated levels of carbonates. Answer the following questions 1. What is the probability that exactly one tank in the sample contains water with high carbonate level? 2. What is the probability that at least one tank in the sample contains water with high carbonate level? 3. It was later found out that aside from the six tanks with high carbonate levels, four other tanks (different from the 6, but part of the 24 tanks) contain water with high concentration of dissolved solids. What is the probability that there is exactly one tank that contains high carbonate level and exactly one tank that contains high concentration of dissolved solids among the samples chosen?

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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In a water treatment plant, 24 raw water tanks are used to hold untreated water pumped
from a nearby source. Four tanks are selected at random and without replacement for
general water characterization tests in the laboratory. Suppose that six tanks contain
water with elevated levels of carbonates.
Answer the following questions
1. What is the probability that exactly one tank in the sample contains water with
high carbonate level?
2. What is the probability that at least one tank in the sample contains water with
high carbonate level?
3. It was later found out that aside from the six tanks with high carbonate levels, four
other tanks (different from the 6, but part of the 24 tanks) contain water with high
concentration of dissolved solids. What is the probability that there is exactly one
tank that contains high carbonate level and exactly one tank that contains high
concentration of dissolved solids among the samples chosen?
Transcribed Image Text:In a water treatment plant, 24 raw water tanks are used to hold untreated water pumped from a nearby source. Four tanks are selected at random and without replacement for general water characterization tests in the laboratory. Suppose that six tanks contain water with elevated levels of carbonates. Answer the following questions 1. What is the probability that exactly one tank in the sample contains water with high carbonate level? 2. What is the probability that at least one tank in the sample contains water with high carbonate level? 3. It was later found out that aside from the six tanks with high carbonate levels, four other tanks (different from the 6, but part of the 24 tanks) contain water with high concentration of dissolved solids. What is the probability that there is exactly one tank that contains high carbonate level and exactly one tank that contains high concentration of dissolved solids among the samples chosen?
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