The life span X of a certain electrical appliance is exponentially distributed with density function

where x measures time (in months). The appliance carries a 1-year warranty from the manufacturer. Neva purchases one of the these appliances, selected at random from the manufacturer’s stock. Find the probability that the warranty will expire before Neva’s appliance becomes unusable.

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f(x): = [0.08e lo -0.08x if x ≥ 0 if x < 0