Connect CSecure httpnewconnectmheducstion.com/fow/connect.htm Assignment 4 Help

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Connect CSecure httpnewconnectmheducstion.com/fow/connect.htm Assignment 4 Help Save&Exit; Submit Check my work 8 Crabgrass is a pesky weed that pervades the laws of may homeowners. The best way to control it is to apply a crabgrass pre cmergent chemical before the crabgrass begins to germinate In early spring. In a particular area, supposc the dlate whan crabgrass begins te germinale s unfarmly distributed betw1 April 3 (rndright: are April 15 [midnight). a. Ifh pre-amergent is applied at noonon April 8, wha is the prnhability that thecrahgrass wil be sucully oroed Hinr coce the days as numbers (e.g. 3-start of Apri 3 midniight, -startof pril (midriight, 125- en April 12, 13.75-600 p.m. on Aprll 13 pont Round your answer to three decimal places. ner-ences Pebebiliy b. On whicn oay shoud the pre-emergent be app led to nave a /5% probablity t at the crabgrass will be successtuly controller Round your answer to one decimal place. Apply un Dey April c. on which day snould the preemergent be applied to have a 90% probabiity that the crabgrass will be successfully controlled? Round your answer to one decimal place Apply an Day of April lype here to search

Explanation / Answer

The date of crabgrass infection is between April 3 (midnight) to april 15 (midnight)

So, the given distribution is uniform here and number of days, midnight to midnight are 12.

Here,

f(x) = 1/12

F(x) = ( x - 3)/12 ; 3 < x < 15

Now at April 8, noon can be coded as 8.5

NOw,

Pr(x > 8.5) = 1 - Pr(x < 8.5) = 1 - (8.5 - 3)/12 = 13/24 = 0.5417

(b) The probability that crabgrass will be successfully ocntrolled 75%, it should be that

F(x) = 1 - 0.75 = 0.25

0.25 = (x - 3)/12

x = 6 so if applied on 6 (midnight), 75% probablity to control crabgrass.

(c)

The probability that crabgrass will be successfully ocntrolled 90%, it should be that

F(x) = 1 - 0.90 = 0.10

0.10 = (x - 3)/12

x = 4.2

so that means if we apply the pre- crabgrass solution at 04 : 48 A.m. on april 4 , then 90% chance that we will save oursleves from crabgrass attack.

The exact time is calculated as there are 24 hours multiplied by 0.2 gives 4.8 hours , 0.8 hours means 48 minutes.

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