A large electronic office product contains 2000 electronic components. Assume th

Question

A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.995, and assume that the components fail independently. Approximate the probability that 8 or more of the original 2000 components fail during the useful life of the product. (Use Appendix A, Table I. Also apply the plusminus 1/2 correction factor and round value of standard normal random variable to 2 decimal places.) Round your answer to four decimal places (e.g. 98.7654). 0

Explanation / Answer

We first get the z score for the critical value:          
          
x = critical value =    7.5      
u = mean = np =    10      
          
s = standard deviation = sqrt(np(1-p)) =    3.154362059      
          
Thus, the corresponding z score is          
          
z = (x-u)/s =    -0.792553281 = -0.79  
          
Thus, the right tailed area is          
          
P(z >   -0.79   ) = 0.7852 [ANSWER]

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