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emelylugo33
emelylugo33
17.04.2020 • 
Mathematics

1. A hobbyist family is making PPE (personal protective equipment) to donate to local health care workers. Let • T1 ∼ U(1, 4) be the amount of time (in hours) to 3D print a face mask and • T2 be an exponentially distributed random variable with an average of 3 hours to represent the time (in hours) to cut out and sew a suit. Describe the distribution of time to complete construction of one suit-and-mask outfit by computing the mean, median, and standard deviation of the sum T1 + T2 assuming independence between T1 and T2. (Hint: there is only one input variable—time—so there is no need for double integrals.)

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