#6) The average life of an electronic component is 6 years with a standard deviation of 1 year. We may assume a normal distribution for the lifespan of such a component. a) If we take 100 random...

only handwritten solution accepted

Extracted text: #6) The average life of an electronic component is 6 years with a standard deviation of 1 year. We may assume a normal distribution for the lifespan of such a component. a) If we take 100 random components, how many of them are expected to "live" 7.5 years or more? (round up to the next integer) b) What is the probability that in a random sample of 100 components, 10 or more will live at least 7.5 years? c) Suppose you were a vendor of such components. You want to provide a guarantee to your customers than any component that breaks down within the coverage period will be replaced without charge. If you want to replace only 3% of your components, how long should the coverage period be? (use one decimal point only)