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The four graphs represent the probability density of colony diameters (in mm) in

ID: 260270 • Letter: T

Question

The four graphs represent the probability density of colony diameters (in mm) in a hypothetical population of Paenibacillusbacteria. The distribution is continuous, so the probability of sampling a colony within some range of diameter values is given by the area under the curve. The numbers next to the curve indicate the area of the region indicated in red. Consider the case in which a single colony is randomly sampled from the population. 2 04 0.30.14 0.2 0.1 0.4 0.3 0.2 0.1 0.14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 0.4 E 0.3 0.2 0.4 0.3 0.2 0.1 0 0.48 0.02 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Colony diameter (mm) Colony diameter (mm) What is the probability that a randomly chosen colony diameter is between 8 and 12 OR greater than or equal to 10? Answer to two decimal places.

Explanation / Answer

The probability that a randomly chosen colony diameter is between 8 and 12 OR greater than or equal to 10:
0.48 (for 8 to 12) + 0.02 (for >10) = 0.50

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