Spray dri? atnstant concern or pestic cle applicators and agricultural producers

Question

Spray dri? atnstant concern or pestic cle applicators and agricultural producers. The in erse relationship bet ?? dropiet size ard dft potential well known. Thé aaper reetsof 2 4 D Formuatian and inc rac cn Sora Draplet S 2?and De e siten t for nus on on spray ator zaton. A figure n ? paper sug normal dstr but on wth mean 1050 ?? end sar dard deviation 150 ?m 35 ? easonable mode for droplet size f water the "control tres ment" sprayed through & 760 ml/min nozzle. esti ated the effects of herbicide gested the (a) what is the probablity that the 5ize of a single droplet is less than 1500 ?m? At least 975 um? | Round your answers to four decimal paces.) less than 1500 um least 975 um (b) what is the probaoiity that the sizeof a single droplet is between 975 and 1500 ??? (Round your answer to four decimal places.) (c) How wculd you characterize the smalles± 2%, cf all drcpl-tx? {Reund Your answer to two cecimal places.) Thù sirallest 2% of droplats are thasa maller than Hm in siz dtha s of fiva incepandantly salectad droplets are maasured, whas is the probabity that least one axcceds 1500 um7 (Raund your answer to four decimal places)

Explanation / Answer

a)P(less than 1500)=P(Z<(1500-1050)/150)=P(Z<3)=0.9987

P(at least 975) =P(Z>(975-1050)/150)=P(Z>-0.5)=0.6915

b)

P(975<X<1050)=P(-0.5<Z<3)=0.9987-0.6915=0.6901 ( please try 0.6902 if this comes wrong)

c)

fpr smallest 2% ; crtiical z =-2.05

hence value =1050-2.05*150=742.5 ( please try 741.94 or 741.95 if this comes wrong and revert)

d)

P(at least one exceed 1500)=1-P(none exceeds)=1-(0.9987)5 =0.0065

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.