An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N LM H L 0.04 0.07 0.05 0.01 M 0.07 0.11 0.20 0.10 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?

Biodiversity is the study of variety in life. This may include the study of different species or specific species that are unique to certain geographic areas. Those interested in biodiversity often study endangered species. According to a book on the subject and how it relates to human values, the percentage of money allocated by the International Union for Conservation of Nature to aid in conserving lesser-known species of mammals was 10.67%. n USE SALT (a) If the amount of money allocated for endangered species was normally distributed with a mean of 12% and a standard deviation of 0.82%, the amount allocated for lesser-known species of mammals fall at what percentile? (Use a table or SALT. Round your answer to two decimal places.) The amount allocated for lesser-known species of mammals fell at the th percentile. (b) Determine whether the following statement is true or false. The probability statement that corresponds to this percentile is P(x s 12). O True O False

7. An art appraiser compared two paintings and believes the value of Painting A has a value of 6,000 dirhams and will increase in value by 7% each year. The art appraiser believes the value of Painting B has a value of 12,000 dirhams and the value of the painting will increase by 3% each year. In 10 years, what will be the values of Painting A Painting B

"Heinz Plays Catch-up After Under-Filling Ketchup Containers" is the headline of an article that appeared on CNN.com.† The article stated that Heinz had agreed to put an extra 1% of ketchup into each ketchup container sold in California for a 1-year period. Suppose that you want to make sure that Heinz is in fact fulfilling its end of the agreement. You plan to take a sample of 20 oz bottles shipped to California, measure the amount of ketchup in each bottle, and then use the resulting data to estimate the mean amount of ketchup in each bottle. A small pilot study showed that the amount of ketchup in 20 oz bottles varied from 19.8 to 20.6 oz. How many bottles should be included in the sample if you want to estimate the true mean amount of ketchup to within 0.1 oz with 95% confidence? (Round your answer up to the nearest whole number.)