2. The figure at the bottom of the page shows the probability density of colony

Question

2. The figure at the bottom of the page shows the probability density of colony diameters (in mm) in a hypothetical population of Paenibacillus bacteria. The distribution is continuous, so the probability of sampling a colony within some range of diameter values is given by area under the curve. 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. a. Are the events “diameter is between 4 and 6” and “diameter is between 8 and 12” mutually exclusive? Explain. b. What is the probability that a randomly chosen colony diameter is between 4 and 6 or between 8 and 12?

Explanation / Answer

Are the events “diameter is between 4 and 6” and “diameter is between 8 and 12” mutually exclusive? Explain

Yes, there are mutually explcusei

because the event of diameter is between 4 and 6 not contain a number of 8,9,10,11 or 12

. What is the probability that a randomly chosen colony diameter is between 4 and 6 or between 8 and 12?

need more information because i dont have any parameter or the curve that the problem said that the values are given in that curbve

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