Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer measures the cone tip resistance (megapascals, MPa). The researchers established that tip resistance for the deep mixed soil followed a normal distribution with u = 2.2 MPa and o = 0.9 MPa. Complete parts a through c below. a. Find the probability that the tip resistance will fall between 1.5 and 3.9 MPa. The probability is .7522 . (Round to four decimal places as needed.) b. Find the probability that the tip resistance will exceed 1.1 MPa. The probability is .8892 . (Round to four decimal places as needed.) c. Find a value of tip resistance, T, such that 20% of all soil samples have tip resistance values that exceed T. T= (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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find part c

Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by
deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil.
During penetration, the cone penetrometer measures the cone tip resistance (megapascals, MPa). The researchers established that tip resistance for the deep mixed
soil followed a normal distribution with u = 2.2 MPa and o = 0.9 MPa. Complete parts a through c below.
a. Find the probability that the tip resistance will fall between 1.5 and 3.9 MPa.
The probability is .7522 . (Round to four decimal places as needed.)
b. Find the probability that the tip resistance will exceed 1.1 MPa.
The probability is .8892 . (Round to four decimal places as needed.)
c. Find a value of tip resistance, T, such that 20% of all soil samples have tip resistance values that exceed T.
T=
(Round to two decimal places as needed.)
Transcribed Image Text:Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer measures the cone tip resistance (megapascals, MPa). The researchers established that tip resistance for the deep mixed soil followed a normal distribution with u = 2.2 MPa and o = 0.9 MPa. Complete parts a through c below. a. Find the probability that the tip resistance will fall between 1.5 and 3.9 MPa. The probability is .7522 . (Round to four decimal places as needed.) b. Find the probability that the tip resistance will exceed 1.1 MPa. The probability is .8892 . (Round to four decimal places as needed.) c. Find a value of tip resistance, T, such that 20% of all soil samples have tip resistance values that exceed T. T= (Round to two decimal places as needed.)
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