The Mathematics Department for UTEP models the lifetime of pencil sharpeners from purchase using a model with S0​(t)=(1−ωt​)α,α>0,0≤t≤ω A senior actuary examining mortality tables for pencil sharpeners has determined that the original value of α must change. You are given: (i) The new complete expectation of life at purchase is half what it was previously. (ii) The new force of mortality for pencil sharpeners is 2.25 times the previous force of mortality for all durations. (iii) ω remains the same. Calculate the value of o (alpha)