Question 1. A construction company needs steel rods with diameters 6 mm and 8 mm for...

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Question 1. A construction company needs steel rods with diameters 6 mm and 8 mm for a new building. They found out that 40% of the rods in their inventory have a diameter of 6 mm, 30% have 8 mm and the rest have 10 mm. They also observed that 20% of the rods with diameter 6 mm and 10% of the rods with diameter 8 mm are defective and cannot be used. a) What is the probability that a rod cannot be used for the construction of that building? (12 pts) b) What is the probability for a useless rod to have a diameter of 6 mm? Question 1. A construction company needs steel rods with diameters 6 mm and 8 mm for a new building. They found out that 40% of the rods in their inventory have a diameter of 6 mm, 30% have 8 mm and the rest have 10 mm. They also observed that 20% of the rods with diameter 6 mm and 10% of the rods with diameter 8 mm are defective and cannot be used. a) What is the probability that a rod cannot be used for the construction of that building? (12 pts) b) What is the probability for a useless rod to have a diameter of 6 mm?