A hardware company is manufacturing small monitors for industrial devices. A 50×50 display has 2500 pixels. Pixels are independent of each other, and each pixel has a 2% chance of being defective. Use a normal approximation to estimate the probability that if I buy one of their monitors, less than 1.5% of the pixels will be defective. Don't forget to include the verification that this is a suitable scenario to use a normal approximation. Answer: 6. The length of articles submitted to an academic journal can be regarded as a random number with mean 22 pages and standard deviation 3 pages but an otherwise unknown distribution. The editor received 49 submissions this month. When he calculated the sample mean number of pages for the 49 submissions, he realized there was a 20% probability of having a higher average submission length. What was the average number of pages submitted this month? Answer