Researchers at a university have developed a safe method for

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.

Solution

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