The bulk density of soil is defined as the mass of dry solidsper unit bulk volume. A high bulk density implies a compact soilwith few pores. Bulk dens
Sinead Mcgee
Answered question
2021-05-05
The bulk density of soil is defined as the mass of dry solidsper unit bulk volume. A high bulk density implies a compact soilwith few pores. Bulk density is an important factor in influencing root development, seedling emergence, and aeration. Let X denotethe bulk density of Pima clay loam. Studies show that X is normally distributed with
(a) What is thedensity for X? Sketch a graph of the density function. Indicate onthis graph the probability that X lies between 1.1 and 1.9. Findthis probability.
(b) Find the probability that arandomly selected sample of Pima clay loam will have bulk densityless than
(c) Would you be surprised if a randomly selected sample of this type of soil has a bulkdensity in excess of
(d) What point has the property that only 10% of the soil samples have bulk density this high orhigher?
(e) What is the moment generating function for X?
Answer & Explanation
Dora
Skilled2021-05-07Added 98 answers
THE BULK DENSITY OF PIMA CLAY LOAM IS X HERE.
FOLLOW N.D MEAN 1.5 AND S.D
(X-MEAN)/S.D IS STANDARD NORMAL VARIATE WITH A MEAN '0' AND A VARIANCE '1' PROBABILITY OF N.D
PROB.OF X LIES BETWEEN 1.1 AND 1.9 IS
b) PROBABILITY LESS THAN 0.9 IS
(BY APPLYING COMMON NORMAL TABLES)
b) A BULK DENSITY ABOVE
HERE
Yes, it is surprising that the sample contains more than "2" because the probability of clay density being greater than 2 is 0.0062 (VERY LOW).
d) 
(FROM STANDARDNORMAL TABLES)
e)
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