Researchers at a university have developed a safe method for rapidly detecting a
ID: 3431813 • Letter: R
Question
Researchers at a university have developed a safe method for rapidly detecting anthrax spores in powders and on surfaces. The method has been found to work well even when there are very few anthrax spores in a powder specimen. Consider a specimen that has exactly 10 anthrax spores. Supose that the number of anthrax spores detected by the new method follows an approximate uniform distribution between 0 and 10.
a. Find the probability that 6 or fewer anthrax spores are detected in the powder specimen.
b. Find the probability that between 4 and 7 anthrax spores are detected in the powder specimen.
Explanation / Answer
f(x)=1/10 for 0<X<10
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(a)P(X<=6) = (6-0)/10 =0.6
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(b)P(4<X<7) = (7-4)/10 =0.3
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