Home
Class 11
MATHS
A consulting firm rents car from three a...

A consulting firm rents car from three agencies such that 50% from agency L, 30% from agency M and 20% from agency N. If 90% of the cars from L, 70% of cars from M and 60% of cars from N are in good conditions (i) what is the probability that the firm will get a car in good condition? (ii) if a car is in good condition, what is probability that it has come from agency N?

Text Solution

Verified by Experts

The correct Answer is:
(a) 0
(b) (i) 0.78, (ii) `2/13`
Promotional Banner

Topper's Solved these Questions

  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -III|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise MATHEMATICS|49 Videos

Similar Questions

Explore conceptually related problems

Goods are sold is 3 retail outlets,X Y,Z in the ratio 2:3:5. If 90% of the item from X 80% of item from Y and 95% of item from Z are in good condition (i)what is the probability that an item chosen at random is in good condition.(ii)If a selected item is not in good condition what is the probability that it is from outlet Y?

A firm manufactures PVC pipes in three plants viz, X, Y and Z. The daily production volumes from the three firm X, Y and Z are respectively 2000 units, 3000 units and 5000 units. It is known from the past experience that 3% of the output from plant X, 4% from plant Y and 2% from plant Z are defective. A pipe is selected at random from a day's total production (i) find the probability that the selected pipe is defective one. (ii) If the selected pipe is a defective, then what is the probability that it was produced by plant Y ?

A firm manufactures PVC pipes in three plants viz, X, Y and Z . The daily production volumes from the three firms X , Y and Z are respectively 2000 units, 3000 units 5000 units. It is known from the past experience that 3% of the output from plant X , 4% from plant Y and 2% from plant Z are defective. A pipe is selected at random from a day's total production, (i) find the probability that the selected pipe is a defective one. (ii) if the selected pipe is a défective, then what is the probability that it was plant Y ?

A firm manufactures PVC pipes in three plants viz, X,Y and Z. The daily production volumes from the three firms X,Y and Z are respectively 2000 units, 3000 units and 5000 units. It is known from the past experience that 3% of the output from plant X,4% form plant Y and 2% from plant Z are defective. A pipe is selected at random from a days total production, (i)find the probability that the selected pipe is a defective one (ii)if the selected pipe is a defective ,then what is the probability that it was produced by plant Y?