(Solution) - The probability density function of the time required to complet -(2025 Original AI-Free Solution)

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The probability density function of the time required to complete an assembly operation is for seconds.
(a) Determine the proportion of assemblies that requires more than 35 seconds to complete.
(b) What time is exceeded by 90% of the assemblies?
(c) Determine the mean and variance of time of assembly.