Question

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 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle.

(a) What is the probability that the size of a single droplet is less than 1410 µm? At least 925 µm? (Round your answers to four decimal places.)

less than 1410 µm | ||

at least 925 µm |

(b) What is the probability that the size of a single droplet is
between 925 and 1410 µm? (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 µm in size.

(d) If the sizes of five independently selected droplets are
measured, what is the probability that at least one exceeds 1410
µm? (Round your answer to four decimal places.)

Answer #1

Refer Z-table to find the probability or use excel formula
"* =NORM.S.DIST(2.4, TRUE)*" to find the
probability.

Refer Z-table to find the probability or use excel formula
"* =NORM.S.DIST(-0.83, TRUE)*" to find the
probability.

-------------------------------------------------------------------------------------------------------------------

Refer Z-table to find the probability or use excel formula
"**=NORM.S.DIST(2.4, TRUE**)" &
"**=NORM.S.DIST(-0.83, TRUE)**" to find the
probability.

-------------------------------------------------------------------------------------------------------------------

Refer Z-table, Lookup for Z-value corresponding to area 0.02 to
the left of the normal curve or use excel formula
"**=NORM.S.INV(0.02)**" to find the Z-value.

-------------------------------------------------------------------------------------------------------------------

Refer Z-table to find the probability or use excel formula
"**=NORM.S.DIST(2.4, TRUE)**" to find the
probability.

With Y is a binomial random variable with the probability of success with parameters p=0.0082, n=5.

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 µm and standard deviation 150 µm was a reasonable
model for droplet size for water (the "control treatment") sprayed
through a...

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 µm and standard deviation 150 µm was a reasonable
model for droplet size for water (the "control treatment") sprayed
through a...

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 µm and standard deviation 150 µm was a reasonable
model for droplet size for water (the "control treatment") sprayed
through a...

pray drift is a constant concern for pesticide applicators and
agricultural producers. The inverse relationship between droplet
size and drift potential is well known. A researcher is interested
in the effects of herbicide formulation on spray atomization. The
researcher believes a normal distribution with mean 1050 µm and
standard deviation 150 µm is a reasonable model for droplet size
for water (the "control treatment") sprayed through a 760 ml/min
nozzle.
(a) What is the probability that the size of a...

pray drift is a constant concern for pesticide applicators and
agricultural procedures. The inverse relationship between droplet
size and drift potential is well known. The paper â€œEffects of
2,4- D Formulation and Quinclorac on Spray Droplet Size and
Depositionâ€ (Weed Technology, 2005: 1030-1036) investigated the
effects of herbicide formulation on spray atomization. A figure in
the paper suggested the normal distribution with mean 1050 Âµm and
standard deviation 150 Âµm was a reasonable model for droplet size
for water (the...

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