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and a paper \"Effects a paper suggested the normal distribution with mean 1050 i

ID: 3327554 • Letter: A

Question

and a paper "Effects a paper suggested the normal distribution with mean 1050 im and standard deviation 150 m was a reasonable model for sprayed through a 760 ml/min nozzle of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide on spray atomization. A figure in droplet size for water(the-control (a) What is the probability that the size of a single less than 1500 um at least 925 um droplet is less than 1500 im? At least 925 m? (Round your answers to four decimal places.) (b) what is te probability that the size of a single droplet is between 925 and 1500 ,m? (Round your answer to four decimal places.) (c) How would you characerize 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 1500 m? Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? with mean 3 cm and There are two for cutting corks

Explanation / Answer

a) P( X<1500)

= P( Z<(1500-1050)/150)

= 0.9987

P ( X>925)

= P( Z>(925-1050)/150)

= 0.7977

b) P ( 925<X<1500)

= P( (925-1050)/150<Z<(1500-1050)/150)

= 0.7963

c) Smallest 2%^ smallter than = -2.05375*150+1050 = 741.94

d) P ( X>1500)

= 1-0.9987

= 0.0013