Question

The time required to assemble a piece of machinery is a random variable having a
normal distribution with mean μ=14.8 minutes and standard deviation σ = 1.5 minutes.
Inspectors at the plant will use the time required to assemble a piece of machinery to
detect potential problems with the machine.
a. What percent of assembly times exceed 16.25 minutes?
b. Inspectors will use the 95th percentile of the assembly time distribution as an
indicator (if it takes more than that many minutes to assemble a piece, they will
perform diagnostics on the machine). What is the value of the 95th percentile?

Answer 1