5. A part-time employee works for 1, 2 or 3 hours per day, each with a probability of 1/3. The number of hours worked on each day is also independent of the hours on any other day. Suppose the hourly rate is $10. Let his/her total salary for a two-day period be Y. Find the expected value and variance of Y.

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5. A part-time employee works for 1, 2 or 3 hours per day, each with a probability of 1/3. The number of
hours worked on each day is also independent of the hours on any other day. Suppose the hourly rate
is $10. Let his/her total salary for a two-day period be Y. Find the expected value and variance of Y.
6. Suppose items passed through an assembly line has a 2% defect rate.
Transcribed Image Text:5. A part-time employee works for 1, 2 or 3 hours per day, each with a probability of 1/3. The number of hours worked on each day is also independent of the hours on any other day. Suppose the hourly rate is $10. Let his/her total salary for a two-day period be Y. Find the expected value and variance of Y. 6. Suppose items passed through an assembly line has a 2% defect rate.
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