Engineers studied the life cycle cost of a coal-fired power plant in the Journal of Quality in Maintenance Engineering (Vol. 19, 2013). The analysis used the Weibull distribution to model the probability distribution of time to failure, Y, measured in thousands of hours. The engineers used β = 65 as the value of α = 2 the scale parameter in the Weibull distribution. Assume is the value of the shape parameter. Use this information to find a time to failure value, Y = t, such that the probability of failure before time t is only .2.