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Mathematics, 02.03.2021 02:30 jachecj3269

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? (Enter your answer rounded to four decimal places.)

(b) What percent of ant speeds in light traffic are slower than 6 bl/s? (Enter your answer rounded to two decimal places.)

(c) What are the 10th and 90th percentiles of ant speeds in light traffic? (Enter your answers rounded to four decimal places.)

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