-25 points DevoreStat9 4.E.036 My Notes Ask Your Teacher Spray drift is a consta

Question

-25 points DevoreStat9 4.E.036 My Notes Ask Your Teacher Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet size and Deposition investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 m and standard deviation 150 m was a reasonable model for droplet size for water (the "control treatmen sprayed through a 760 ml/min nozzle. (a) what is the probability that the size of a single droplet is less than 1440 m? At least 1000 pm? (Round your answers to four decimal places.) less than 1440 m at least 1000 m (b) what is the probability that the size of a single droplet is between 1000 and 1440 m? Round your answer to four decimal places. (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 um in size (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1440 m? (Round your answer to four decimal places.) You may need to use the appropriate table in the Apperndix of Tables to answer this question. Need Help?

Explanation / Answer

a)

P(less than 1440):

P(at least 1000):

( note pleae try 0.6293 if above des not work)

b)

( please try 0.6259 if above comes wrong due to rounding)

c)

fr 2 percentile z =-2.05

therefore corresponding size =mean +z*std deviation =742.5

(please try 741.94 if above cmes wrong due to rounding)

d) probability at least one exceed 1440 =1-P(none exceed 1440) =1-(0.9953)5 =0.0233

for normal distribution z score =(X-)/ here mean=       = 1050 std deviation   == 150.000

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