The finishing process for automotive body panels has two main steps: painting and clear coat. The...
The finishing process for automotive body panels has two main steps: painting and clear coat. The times to complete each step are Normally distributed random variables. The painting step takes an average of 25 minutes, with a standard deviation of 3 minutes. The clear coat step takes an average of 17 minutes, with a standard deviation of 2 minutes.
(a) What is the probability that a body panel with be finished within 35 minutes?
(b) What is the probability that it will take longer than 40 minutes?
Homework Answers
expected amount for total panel =25+17=42
and std deviation =sqrt(32+22)= 3.6056
a)
probability that a body panel with be finished within 35 minutes =P(X<35)=P(Z<(35-42)/3.6056)=P(Z< -1.94) =0.0262
b)
probability that it will take longer than 40 minutes =P(X>40)=P(Z>(40-42)/3.6056)=P(Z> -0.55)=0.7088
( please try 0.7106 if this comes wrong due to rounding error)
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