Suppose the force acting on a column that to support a building is a normally distributed random variable x with mean value 15.0 (kips) and standard deviation 1.25 (kips). calculate the following probabilities: (1) (2 points) p(x ≥ 17.5). (2) (2 points) p(14 ≤ x ≤ 18).

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

Standard deviation,

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

  ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

= 0.9918 - 0.2119

= 0.7799

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98