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QUESTION 4 The water content of soil from a borrow site is normally distributed with a mean of 14.4% and a standard deviation
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Solution :

=> Answer :- Option C. 0.315

Given that mean μ = 0.144 , standard deviation σ = 0.012

=> P(x > 0.15) + P(x < 0.114) = P((x - μ)/σ > (0.15 - 0.144)/0.012) + P((x - μ)/σ < (0.114 - 0.144)/0.012)

= P(Z > 0.5) + P(Z < -2.5)

= 0.3085 + 0.0062

= 0.3147

= 0.315 (rounded)

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