preview

Datastor Case Study - Stats Probabilitiy and Binomials Essay

Decent Essays

DataStor Case Study | | Team 1 | Case Study for DataStor Background DataStor, a data storage device and media manufacturer, produces a compact hard drive called DS1000, which stores 1GB of data. Their primary customer is Four-D, a national reseller of the drives. Four-D has rejected four shipments of drives from DataStor in the past 20 days. DataStor wants to understand why their shipments are being rejected. DataStor operates three 8-hour shifts, five days a week. Each shift produces approximately 120 drives for a daily average total of 360 drives per day. The company runs quality checks called PDQ tests on one of their drives every hour of production. The test takes up to 20 minutes. Their historical “in control” …show more content…

This feature was selected because we’re looking for the probability of two conditions: acceptance or rejection of a shipment. The sample size is based on the 20 day sample. The probability of the event (.03765) was determined in Question #2, the cumulative probability of Four-D rejecting a shipment (based on a sample of 10). The cumulative probability of outcomes from 4 to 20 is .6%. The outcome parameters were 4 to 20 because, we were specifically asked to look at the probability of Four-D rejecting >=4 or more shipments in 20 days. Binomial Probabilities | | | | Data | | | Sample size | 20 | | | Probability of an event of interest | 0.03765 | | | | | | | Statistics | | | Mean | 0.753 | | | Variance | 0.72465 | | | Standard deviation | 0.851264 | | | | | | | Binomial Probabilities Table | | | | | X | P(X) | | | 4 | 0.005268 | | | 5 | 0.00066 | | | 6 | 6.45E-05 | | | 7 | 5.05E-06 | | | 8 | 3.21E-07 | | | 9 | 1.67E-08 | | | 10 | 7.2E-10 | | | 11 | 2.56E-11 | | | 12 | 7.52E-13 | | | 13 | 1.81E-14 | | | 14 | 3.54E-16 | | | 15 | 5.54E-18 | | | 16 | 6.77E-20 | | | 17 | 6.24E-22 | | | 18 | 4.07E-24 | | | 19 | 1.67E-26 | | | 20 | 3.28E-29 | | | | 0.005998 | | 4. Based on your analysis in (1) – (3) above, what is your overall conclusion regarding the

Get Access