Q4. Let X1 and X2 be two independent random variables representing lifetime (in hours) of two...
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Q4. Let X1 and X2 be two independent random variables representing lifetime (in hours) of two key components of a device. Assume that X1 and X2 are independent and follow the same. exponential distribution with mean 10. (a) If the device fails when and only when both components fail, then determine the probability density function of its lifetime. (b) If the device fails as long as one component fails, then determine its expected lifetimes. Q4. Let X1 and X2 be two independent random variables representing lifetime (in hours) of two key components of a device. Assume that X1 and X2 are independent and follow the same. exponential distribution with mean 10. (a) If the device fails when and only when both components fail, then determine the probability density function of its lifetime. (b) If the device fails as long as one component fails, then determine its expected lifetimes.
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