Problem 1 (15 Pts) A production process produces electronic component parts. It

Question

Problem 1 (15 Pts) A production process produces electronic component parts. It is presumed that the probability of a defective part is 0.01. During a test of this presumption, 500 parts are sampled randomly and 15 defectives are observed. (a) What is your response to the presumption that the process is 1% defective? Be sure that a computed probability accompanies your comment. Hint: Is 1% an understatement or overstatement? (b) Under the presumption of a 1% defective process, what is the probability that only 3 parts will be found defective? (c) Do parts (a) and (b) again using the Poisson approximation.

Explanation / Answer

p^ = 15/500 = 0.03

1 % is understatement

b)

P(X = 3) = 0.14022

poisson

number of expected defective parts

0.01 *500 = 5

since 15 > 5 , 1 % is understatement

b) P(X = 3)

= e^(-5) 5^3 / 3!

= 0.1403738

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.