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?
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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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