Spray drift is a constant concern for pesticide applicators andagricultural producers. The inverse relationship between dropletsize and drift potential is well known. A researcher is interestedin the effects of herbicide formulation on spray atomization. Theresearcher believes a normal distribution with mean 1050 µm andstandard deviation 150 µm is a reasonable model for droplet sizefor water (the "control treatment") sprayed through a 760 ml/minnozzle.
(a) What is the probability that the size of a single droplet isless than 1380 µm? Greater than 1000 µm? (Round your answers tofour decimal places.)
| less than 1380 µm | | |
| greater than 1000 µm | | |
(b) What is the probability that the size of a single droplet isbetween 1000 and 1380 µm? (Round your answer to four decimalplaces.)
(c) How would you characterize the smallest 2% of all droplets?(Round your answer to two decimal places.)
The smallest 2% of droplets are those smaller than ___ µm insize.
(d) If the sizes of five independently selected droplets aremeasured, what is the probability that at least one exceeds 1380µm? (Round your answer to four decimal places.)
