IEE 3210

STATISTIC AND PROBABILITY

Solve the following problems. Tables and graphs should be presented if needed.

1. The volume of water in commercially supplied fresh drinking water containers is approximately Normally distributed with mean 70 liters and standard deviation 0.75 liters. Estimate the proportion of containers likely to contain at most 68.2 Liters? 2. The volume of water in commercially supplied fresh drinking water containers is approximately Normally distributed with mean 70 liters and standard deviation 0.75 liters. Estimate the proportion of containers likely to contain less than 70.5 Liters? 3. There is an 85% chance that a student will pass Engineering Data analysis subject. A random sample of 120 students taking the course is selected. Find the probability that at least 110 students will pass. 4. There is an 85% chance that a student will pass Engineering Data analysis subject. A random sample of 120 students taking the course is selected. Find the probability that at most 105 students will pass. 5. Laptops produced under company ABC lasts 5 years in average. Note that the lifespan of each laptop is distributed exponentially. What is the probability that laptops will last between 4 and 7 years