A manufacturer guarantees a product for 1 year. The time to failure of the product after it is sold is given by the probability density function below, where t is time in months. What is the probability that the product will last at least 1 year? [Hint: Recall that the total area under the probability density function curve is 1.] 0.009e - 0.0091 ift2 0 f(t ) = O otherwise The probability is (Type an integer or decimal rounded to two decimal places as needed.)