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A hobbyist family is making PPE (personal protective equipment) to donate to local health care workers....

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Statistics

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 aface mask and
• T2 be an exponentially distributed random variable with anaverage of 3 hours to represent the

time (in hours) to cut out and sew a suit.

Describe the distribution of time to complete construction ofone suit-and-mask outfit by computing the mean, median, andstandard deviation of the sum T1 + T2 assuming independence betweenT1 and T2. (Hint: there is only one input variable—time—so there isno need for double integrals.)

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