Search & Filtering
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?
samples of 12 foremen in one division and 10 foremen in another division of a factory were selected at random and the following data were obtained.
Sample Size Average monthly salary (Rs.) S.D. of salary (Rs.)
Division I 12 6000 150
Division II 10 5500 165
Can you conclude that the foremen in division I get more salary than foremen in division II at 5% level ?
A particular brand of coffee contains an average of 112 mg of caffeine per cup with a standard deviation of 20 mg. A barista wants to investigate the same to estimate the true population mean caffeine content correct to within 5 mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample?
A particular brand of coffee contains an average of 112 mg of caffeine per cup with a standard deviation of 20 mg. A barista wants to investigate the same to estimate the true population mean caffeine content correct to within 5 mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample?
A population consists of three numbers (3,5,9).Consider all possible samples of size n=2 which can be drawn WITHOUT REPLACEMENT from the population.
A global financial institution transfers a large data file every evening from offices around the world to its London headquarters. Once the file is recieved, it must be cleaned and partitioned before being stored in a 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 standard deviation of 15 minutes. 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?
samples of 12 foremen in one division and 10 foremen in another division of a factory were selected at random and the following data were obtained.
Sample Size Average monthly salary (Rs.) S.D. of salary (Rs.)
Division I 12 6000 150
Division II 10 5500 165
Can you conclude that the foremen in division I get more salary than foremen in division II at 5% level ?
The mean of binomial distribution is and the variance is 9/4.Evaluate PMF
Assume that when adults with smart phones are randomly selected, 43% use them on meetings or classes. If 6 adults are randomly selected, find the probability that at least 3 use their phones in class or meetings.
A university advertises that 90% of the graduates from their school of science find a job within one year. Researchers want to see if this is really the case and they survey 60 graduates from this university at the end of the first year after graduation and find out that 50 of them were employed. For α=0.10, is there enough evidence to conclude that the one-year employment proportion of this university is different from the advertised 90%?
