SOLUTION: Q.1 Global financial institution transfers a large data file every evening form offices around the world to its London headquarters. Once the file is received, it must be cleaned a
Algebra.Com
Question 1182236: Q.1 Global financial institution transfers a large data file every evening form offices around the world to its London headquarters. Once the file is received, it must be cleaned and partitioned before being stored in the company’s data warehouse. Each file is the same size and the time required to transfer, clean, and partition a file is normally distributed, with a mean of 1.5 hours and a standard deviation of 15 minutes.
a. if one file is selected at random, what is the probability that it will take longer than 1 hour and 55 minutes to transfer, clean, and partition the file?
b. If a manager must be present until 85% of the files are transferred, cleaned, and partitioned, how long will the manager need to be there?
c. What percentage of the data files will take between 63 minutes and 110 minutes to be transferred, cleaned, and partitioned?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
1.5 hr is 90 minutes mean
sd is 15 minutes
z=(x-mean)/sd
=(115-90)/15 since 1hr55min is 115 min.
25/15=1.67
prob z>1.67is 0.0478
-
z(0.85)=1.036. Use 2ndVARS3invnorm(0.85,0,1) ENTER
1.036=(x-90)/15
15.54=x-90
x=105.54 min
or about 1h45 min
-
z=(63-90)/5=-1.8
z=(110-90)/15=1.33
probability z is between those two is 0.8729
-
also 2ndVARS2normalcdf(63,110,90,15)ENTER =0.8729 or 87.29%
RELATED QUESTIONS
Q.1 Global financial institution transfers a large data file every evening form offices... (answered by CPhill)
A global financial institution transfers a large data file every evening from offices... (answered by Theo)
A financial institution would like to determine the proportion of home owners who quality (answered by CPhill)
In one instance, a financial institution loaned you $70,000 for two years at an APR of... (answered by Theo)
in a large survey, it was discovered that 1 out of every 5 adults visits disney world... (answered by jim_thompson5910)
A financial institution wishes to estimate the mean balances owed by its credit card... (answered by stanbon)
Telecall uses 4 centers around the globe to process customer order forms. They audit a... (answered by ikleyn)
the distance between London and New York is 320 Km. A train takes x hours to travel... (answered by josgarithmetic,mananth)
In one instance a financial institution loaned you $70,000 for two years at an APR of... (answered by stanbon)