Problem 2: A chip fabrication facility produces microprocessors. Each microproce

Question

Problem 2: A chip fabrication facility produces microprocessors. Each microprocessor is tested to determine whether it runs reliably at an acceptable clock speed. A subexperiment to test a microprocessor has sample space Soub 0, 1) to indicate whether the test was a failure (0) or a success (1). For test i, we record 0 or 1 to indicate the result. Suppose that the probability of a failure when testing a circuit is In testing 5 microprocessors independently determine the probability of having 2 or more successes

Explanation / Answer

here above is a binomial distribution with probability of success p=1-probability of failure =1-1/8 =7/8

and sample size n=5

hence probability of having 2 or more success =P(X>=2) =1-P(X<=1) =1-(P(X=0)+P(X=1))

=1-(5C0(7/8)0(1/8)5+5C1(7/8)1(1/8)4) =1-(0.00003+0.00107) =0.9989

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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