Suppose you have a bag with 50 letter tiles in it and 21 of the tiles are the letter J. If you pick a letter tile at random from the bag, the probability that it is the letter J is 21/50. Suppose another bag has 500 letter tiles in it and 410 of the tiles are the letter J. Write the probability of picking a tile that is the letter J as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter J?

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?