Your math professor receives several student emails each day. The probability mo
ID: 3262700 • Letter: Y
Question
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 0.15 0.20 0.10 0.15 0.20 0.20 How many emails should your professor expect to receive daily? Round your result to the nearest hundredth. Blank 1 What is the standard deviation of the number of emails your professor should expect to receive? Round to the nearest hundredth. Blank 2 If it takes your professor an average of 5 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? It takes your English professor the same mean and standard deviation time to reply to his/her emails. What is the mean and standard deviation of the difference in the number of minutes the professors will spend responding to emails.
Mean:
Standard Deviation:
student emails 0 1 2 3 4 5 Probability 0.15 0.20 0.10 0.15 0.20 0.20Explanation / Answer
let x represent number of emails received. therefore
1)from above expected number of emails received daily =mean =2.65
2) standard deviation of the number of emails your professor should expect to receive =(10.15-2.652)1/2 =1.77
3)expected amount spending to respond =5*expected email received =5*2.65=13.25
4)mean of the difference in the number of minutes the professors will spend responding to emails. =13.25-13.25=0
5)standard deviation of the difference in the number of minutes the professors will spend responding to emails.
=((5*1.77)2+(5*1.77)2)1/2 =9.40
please revert for any clarifciation required
x P(X) xP(X) x^2P(x) 0 0.15 0 0 1 0.2 0.2 0.2 2 0.1 0.2 0.4 3 0.15 0.45 1.35 4 0.2 0.8 3.2 5 0.2 1 5 total 2.65 10.15Related Questions
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