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Question 17 5 pts You are awaiting your tax return and the time at which the mai

ID: 3042305 • Letter: Q

Question

Question 17 5 pts You are awaiting your tax return and the time at which the mailman delivers the mail to your home follows a normal distribution. The mean time of delivery is 2:00pm (840 minutes into the day) with a standard deviation of 15 minutes. There is a 3% chance that the mail will arrive in approximately how many minutes into the day or later? Hint: (This problem refers to the top 3% (right tail) end of the curve.) O Approximately 860 minutes into the day (Around 2:30pm) Approximately 840 minutes into the day (Around 2:00pm) Approximately 812 minutes into the day (Around 1:32pm) O Approximately 868 minutes into the day (Around 2:28pm) O Approximately 900 minutes into the day (Around 3:00pm)

Explanation / Answer

P(Z > z*) = 0.03
z* = 1.881
X = mean + z* sd
= 840 + 15 * 1.881
=868.215

option D) is correct

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