3- -11 points DevoreStat9 2.E.076. My Notes Ask Your Teacher Suppose that a flaw

Question

3- -11 points DevoreStat9 2.E.076. My Notes Ask Your Teacher Suppose that a flaw in a certain computer chip installed in computers was discovered that could result in a wrong answer when performing a division. The manufacturer initially claimed that the chance of any particular division being incorrect was only 1 in 15 billion, so that it would take thousands of years before a typical user encountered a mistake However, statisticians are not typical users; some modern statistical techniques are so computationally intensive that a billion divisions over a short time period is not outside the realm of possibility. Assuming that the 1 in 15 billion figure is correct and that results of different divisions are independent of one another, what is the probability that at least one error occurs in one billion divisions with this chip? (Round your answer to four decimal places.) Need Help?Read ItTalk to a Tuter Talk to a Tutor

Explanation / Answer

here expected numbe of error in 1 billion divisions =1/15

hence from poisson distribution P(at least one error) =1-P(no error) =1-e-1/15 =0.0645

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