Q.#1(a) A bolt is manufactured by 3 machines A, B and C. A turns twice as many items as b and machine B and C produce equal number of items. Two percent of bolts produced by A and B are defective and 4% of bolts produced by C are defective. All bolts are put into one stock pile and one is chosen from this pole. What is the probability that it is defective?

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Chapter1: Combinatorial Analysis
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Q.#1(a) A bolt is manufactured by 3 machines A, B and C. A turns twice as many items as b and machine
B and C produce equal number of items. Two percent of bolts produced by A and B are defective and 4%
of bolts produced by C are defective. All bolts are put into one stock pile and one is chosen from this pole.
What is the probability that it is defective?
(b)A manufacturer of a flu vaccine is concerned about the quality of its flu serum. Batches of serum are
processed by three different departments having rejection rates of 0.10, 0.08, and 0.12 respectively. The
inspection by the departments are sequential and independent.
(i) What is the probability that a batch of serum survives the second department inspection but is rejected
by the third department?
(ii)What is the probability that a batch of serum is rejected by all the department?
Transcribed Image Text:Q.#1(a) A bolt is manufactured by 3 machines A, B and C. A turns twice as many items as b and machine B and C produce equal number of items. Two percent of bolts produced by A and B are defective and 4% of bolts produced by C are defective. All bolts are put into one stock pile and one is chosen from this pole. What is the probability that it is defective? (b)A manufacturer of a flu vaccine is concerned about the quality of its flu serum. Batches of serum are processed by three different departments having rejection rates of 0.10, 0.08, and 0.12 respectively. The inspection by the departments are sequential and independent. (i) What is the probability that a batch of serum survives the second department inspection but is rejected by the third department? (ii)What is the probability that a batch of serum is rejected by all the department?
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