Deep mixing is a ground impr method developed for soft soils lke clay, silt, and

Question

Deep mixing is a ground impr method developed for soft soils lke clay, silt, and peat Civil engineers investigated the properties of soil improved by deep moong with columns. The mioxed soll 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 (megapasca MPa). The established that tip for tre deep mxed sol followed a normal distribution with ?-2. 1 MPa anda-08MPa Complete parts a through c P(1.3sxs4,0)-?°Round to four docnnal places as needed ) b. Find the probability that the tip resistance will exceed 1.0 MPa (Round to tour decimal places as nooded ) e.Frd a value of tip res stance, T, sich that 35% of all sol samples have tp resistance values that exceed T T>? (Round to two decinal places as needed )

Explanation / Answer

Solution:- Given that ? = 2.1, ? = 0.8

a) P(1.3 <= x <= 4.0) = P((1.25-2.1)/0.8 < (x-?)/? < (4.05-2.1)/0.8)
= P(-1.0625 < Z < 2.4375)
= 0.8481

b) P(X > 1) = P(Z > (1-2.1)/0.8)
= P(Z > -1.375)
= 0.9162

c) T = 2.1 + 0.3853*0.8 = 2.4082 = 2.41

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