18] A machine manufactures electrical components for the car industry at the rate of 750 per hour. The probability a component i faulty is 0.013. Use both the binomial distribution s and the corresponding Poisson approximation to find the probability that in a sample of 200 components (a) none are faulty (b) one is faulty (¢) two are faulty (d) three are faulty (e) more than three are faulty [l @ od014 b 0277 [8 @ Binomial 0.2244; Poisson 02240 (b) 0.1689,0.1680 2 @ 02107 () 03233 (© 03530353 © 08571 & @ 01435 () 0.2983

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v 18] A machine manufactures electrical components for the car industry at the rate of 750 per hour. The probability a component i faulty is 0.013. Use both the binomial distribution s and the corresponding Poisson approximation to find the probability that in a sample of 200 components (a) none are faulty (b) one is faulty (¢) two are faulty (d) three are faulty (e) more than three are faulty [l @ od014 b 0277 [8 @ Binomial 0.2244; Poisson 02240 (b) 0.1689,0.1680 2 @ 02107 () 03233 (© 03530353 © 08571 & @ 01435 () 0.2983
EXERCISES 29.11
6 A machine manufactures electrical components for
the car industry at the rate of 750 per hour. The
probability a component is faulty is 0.013. Use both
the binomial distribution and the corresponding
Poisson approximation to find the probability that in a
sample of 200 components
(a) none are faulty
(b) one is faulty
(c) two are faulty
(d) three are faulty
(e) more than three are faulty
Solutions
1 (a) 0.1014
(b) 0.1277
3 (a) Binomial 0.2244; Poisson 0.2240
(b) 0.1689, 0.1680
2 (a) 0.2707
(c) 0.8571
(b) 0.3233
(c) 0.353, 0.353
(a) 0.1435
(b) 0.2983
Transcribed Image Text:EXERCISES 29.11 6 A machine manufactures electrical components for the car industry at the rate of 750 per hour. The probability a component is faulty is 0.013. Use both the binomial distribution and the corresponding Poisson approximation to find the probability that in a sample of 200 components (a) none are faulty (b) one is faulty (c) two are faulty (d) three are faulty (e) more than three are faulty Solutions 1 (a) 0.1014 (b) 0.1277 3 (a) Binomial 0.2244; Poisson 0.2240 (b) 0.1689, 0.1680 2 (a) 0.2707 (c) 0.8571 (b) 0.3233 (c) 0.353, 0.353 (a) 0.1435 (b) 0.2983
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