A sanitarian tests samples of water from ponds in an area, where septic tanks are installed, for E. Coli. Historically, 1 in 10 tests will indicate that the water is contaminated. Due to driving distances, the sanitarian can only test 4 samples per day. Each sample is statistically independent of the other samples. 1. On any day, what

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A sanitarian tests samples of water from ponds in an area, where septic tanks are installed, for E. Coli. Historically, 1 in 10 tests will indicate that the water is contaminated. Due to driving distances, the sanitarian can only test 4 samples per day. Each sample is statistically independent of the other samples.

1. On any day, what is the probability that none of the samples are contaminated?

2. What is the likelihood that all of the samples are contaminated?

3. What is the probability that exactly two samples are contaminated?

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