Six of the cobot's joint controllers (JC) were tested to failure. The ages at failure (in cycles) were:

Joint Controller Number	Number of cycles at failure
JC1	1256
JC2	4156
JC3	758
JC4	903
JC5	2487
JC6	1909

JC6 1909

a. Perform a goodness-of-fit test to determine whether it is reasonable, with 99% confidence, to assume the joint controller data fits an exponential distribution with a failure rate () of 2.865x10-4 cycles.

i. Develop a table and show

ii. Identify the K-S statistic of interest

iii. Define and determine the rejection region