2. A mechanical fatigue test is conducted on 100 specimens of a new polymer. The applied stress is identical for all specimens. The number of cycles observed and the corresponding numbers of failed specimens are given in Table 1 Table 1 Fatigue Test Results Number of Cycles x10' Cumulative Number of Failed Specimens 10 35 20 59 30 72 40 84 50 93 60 100 a. Plot graphs for f.(t), R.(t), h (t), and F.(t). b. Comment on the above results. c. Derive an analytical expression for h, () and estimate the MTTF of a bar made of the same material and is subjected to the same loading conditions