An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of

AutoWrecks, Inc. sells auto insurance. AutoWrecks keeps close tabs on its customers' driving records, updating its rates according to the trends indicated by these records. AutoWrecks' records indicate that, in a "typical" year, roughly 70% of the company's customers do not commit a moving violation, 10% commit exactly one moving violation, 15% commit exactly two moving violations, and 5% commit three or more moving violations.   This past year's driving records for a random sample of 100 AutoWrecks customers are summarized by the first row of numbers in the table below. That row gives this year's observed frequency for each moving violation category for the sample of 100 AutoWrecks customers. The second row of numbers gives the frequencies expected for a sample of 100 AutoWrecks customers if the moving violations distribution for this year is the same as the distribution for a "typical" year. The bottom row of numbers contains the following value for each of the moving…

2. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07.  The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.30.  The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.31.  What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form.  Round to two decimal places as needed.

Data from the Bureau of Labor Statistics indicates that in a certain month, 33.1% of the labor force had a high school diploma or fewer years of education, 20.2% had some college or an associate's degree, and 46.7% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 9.1% were unemployed. Of those with some college or an associate's degree, 3.3% were unemployed, and of those with a bachelor's degree or more education, 3.1% were unemployed. Find the probability that a randomly chosen labor force participant has a high school diploma or less education given that he or she is unemployed. ..... The probability is (Type an integer or decimal rounded to three decimal places as needed.)