(Solved): An area code consists of three digits. 10. How many area codes are possible if there are no restric ...

An area code consists of three digits. 10. How many area codes are possible if there are no restrictions on the digit values? 11. How many area codes are possible if the first digit cannot be a one or a zero? 12. What is the probability of randomly selecting an area code that ends with an odd number if the first digit can't be 1 or zero? 13. Determine if the random variable $x$ is discrete or continuous. Explain your reasoning. $x$ represents the number of rainy days in the month of June in Portland, Oregon. Problems 14-18 The number of defects for various numbers of batches of DVDs at a manufacturer were recorded in Table 2 below. 14. Use the frequency distribution in Table 2 to construct a probability distribution. 15. What is the mean of the probability distribution? 16. What is the variance of the probability distribution? 17. What is the standard deviation of the probability distribution? 18. Interpret the results in the context of the real-life situation. (Note: Please review the worked examples in the text; You must say something about both the mean and the variation for this distribution.)