Practice #9 The probability that an electrical component will last 100 hours is .7. If 15 of these components are selected at random what is the probability that at least 10 of the components will last for 100 hours? A college offers scholarships based on a special entrance exam. The scores are normally distributed with a mean of 160 and a variance of 52. The top 5% will be awarded the scholarship. What score must be obtained to win a scholarship. Use the following data and construct a relative frequency distribution (use 5 classes with equal width.) Next, construct a stem and leaf display. Finally, what is the mean, median, and standard deviation of the data? 5.8 5.4 5.6 5.4 5.2 6.1 5.3 5.5 5.6 5.8 6.0 5.3 5.5 5.9 5.7 4.9 6.2 5.1 5.0 5.4