Question Help v Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns. 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=2.6 MPa and a = 0.9 MPa. Complete parts a through c. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. P(1.3sxs4.0) = 0.8658 (Round to four decimal places as needed.) b. Find the probability that the tip resistance will exceed 1.0 MPa. P(x>1) = 0.9623 (Round to four decimal places as needed.) c. Find a value of tip resistance, T, such that 32% of all soil samples have tip resistance values that exceed T. T= (Round to two decimal places as needed.)

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Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns. 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 =2.6 MPa and o = 0.9 MPa. Complete parts a through c.
a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.
P(1.3sxs4.0) = 0.8658 (Round to four decimal places as needed.)
b. Find the probability that the tip resistance will exceed 1.0 MPa.
P(x> 1) = 0.9623 (Round to four decimal places as needed.)
c. Find a value of tip resistance, T, such that 32% of all soil samples have tip resistance values that exceed T.
T=
(Round to two decimal places as needed.)
Transcribed Image Text:Question Help ▼ Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns. 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 =2.6 MPa and o = 0.9 MPa. Complete parts a through c. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. P(1.3sxs4.0) = 0.8658 (Round to four decimal places as needed.) b. Find the probability that the tip resistance will exceed 1.0 MPa. P(x> 1) = 0.9623 (Round to four decimal places as needed.) c. Find a value of tip resistance, T, such that 32% of all soil samples have tip resistance values that exceed T. T= (Round to two decimal places as needed.)
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