In a factory which manufactures calculators, machines A, B and C manufacture respectively 25%, 35% and 40% of the calculators. Of their outputs, 5, 4 and 2 percent are respectively defective calculators. A calculator is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?
Let events C1, C2, C3 be the following : C1 : the calculator is manufactured by machine A C2 : the calculator is manufactured by machine B C3 : the calculator is manufactured by machine C Clearly, C1, C2, C3 are mutually exclusive and exhaustive events and hence, they represent a partition of the sample space. Let the event E be ‘the calculator is defective’. The event E occurs with C1 or with C2 or with C3. Given that, P(C1) = 25% = 0.25, P (C2) = 0.35 and P(C3) = 0.40 Again P(E|C1) = Probability that the calculator is defective given that it is manufactured by machine A = 5% = 0.05 Similarly, P(E|C2) = 0.04, P(E|C3) = 0.02. Hence, by Bayes' Theorem, we have P(C2|E) = [P(C2)P(E|C2)]/[P(C1)P(E|C1)+P(C2)P(E|C2)+P(C3)P(E|C3)] => [0.35 × 0.04]/[0.25 × 0.05 + 0.35 × 0.04 + 0.40 × 0.02] => 0.0140/0.0345 = 28/69
What is the code for “ is ” in the given code language?
Which of the following is the code of ‘great deal success’?
What will be the code for ‘Awaited’?
If 'PERFECTION' is coded as 9 and ' PERFECT ' as 6, then what is the code number for the word 'GRAIN'?
If ‘SOLVED’ is coded as ‘XVQCJK’, ‘RACING’ is coded as ‘WHHPSN’, then, ‘WATCH’ is coded as ____ in the same code language.
...KLNJOU
In a certain code language ‘SHOWERS’ is written as ‘PITWTSF’ and ‘KEYWORD’ is written as ‘ZFLWESP’. How ...
OXTJIL
If ‘DOG’ = 78, then ‘BARK’ = (?)
In a certain code language, 'ike wsd qax' means 'pledge amount special', 'wsd nhd xcv' means 'pledge greet have' and 'bhg ike kgf, means 'prayer amount ...