Normal distributions-probabilities and percentiles

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Reference no: EM13102122

A financial institution transfers a large data faile every evening from offices around the world to its San Antonio 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 sames size and the time required to transfer is normally distributed with a mean of 1.5 hours and a standard deviation of 15 minutes.

1: If one file is selected at random what is the probability that it will take longer than 1 hour and 55 mintutes to transfer the file?

2: If a manager must be present until 85% of the files are transfered, how long will the manager need to be there?

3: What percentage of the data files will take between 63 minutes and 110 minutes to be transferred?

Reference no: EM13102122

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