Question

QUESTION 1

1. Your math professor receives several student emails each day. The probability model shows the number of emails your professor receives from students in a given day. Feel free to use StatCrunch or other technology to find your solutions. Enter only the solutions into the spaces provided.

   # student emails	0	1	2	3	4	5
   Probability	0.10	0.10	0.20	0.20	0.30	0.10

   1. How many emails should your professor expect to receive daily? Round your result to the nearest hundredth.
   2. What is the standard deviation of the number of emails your professor should expect to receive? Round to the nearest hundredth.
   3. If it takes your professor an average of 7 minutes to reply to each email s/he receives, how many should your professor expect to spend responding to student emails in a given day?
   4. Your English professor expects the same mean number of emails with the same standard deviation. What is the mean and standard deviation of the difference in the number of emails the professors will receive.

   Mean:

   Standard Deviation:

Answer 1

on 4 P(x) Elx)ニ 、xo-lo t Ix。-1。+ 2xo. 20 3x。.eo十 12-8 - I0 2 (x) = 10-2-8 E (u) 2.11 t 0-11 2 4.32