Once a year employees at a company are given the opportunity to join one of three pension plans, A, B, or C. Once an employee decides to join one of these plans, the employee cannot drop the plan or switch to another plan. Past records indicate that each year 9% of the employees elect to join plan A, 7% elect to join plan B, 20% elect to join plan C, and the remainder to not join any plan. (1) In the long run, what percentage of employees will elect to join plans A, B, and C? (2) On average, how many years will it take an employee to decide to join a plan? (1) % of employees will elect to join plan A. (Type an integer or decimal. Round to the nearest tenth.) % of employees will elect to join plan B. (Type an integer or decimal. Round to the nearest tenth.) % of employees will elect to join plan C. (Type an integer or decimal. Round to the nearest tenth.) (2) It will take years, on average, for an employee to decide join a plan. oreet integes

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). Auto L M H Homeowner's NLMH 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? 0.04 0.07 0.05 0.02 0.07 0.09 0.20 0.11 0.02 0.03 0.15 0.15 (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?…

RunHeavy Corporation (RHC) is a corporation that manages a local band. It had the following activities during its first month. RHC was formed with an investment of $11,900 cash, paid in by the leader of the band on January 3 in exchange for common stock. On January 4, RHC purchased music equipment by paying $2,300 cash and signing an $9,600 promissory note payable in three years. On January 5, RHC booked the band for six concert events, at a price of $2,800 each, but no cash was collected yet. Of the six events, four were completed between January 10 and 20. On January 22, cash was collected for three of the four events. The other two bookings were for February concerts, but on January 24, RHC collected half of the $2,800 fee for one of them. On January 27, RHC paid $3,440 cash for the band’s travel-related costs. On January 28, RHC paid its band members a total of $2,490 cash for salaries and wages for the first three events. As of January 31, the band members hadn’t yet been paid…

Federated South Insurance Company has developed a new screening program for selecting new sales agents. Their past experience indicates that 20% of the new agents hired fail to produce the minimum sales in their first year and are dismissed. Their ex- pectation is that this new screening program will reduce the percentage of failed new agents to 15% or less. If that occurs, they would save $1,000,000 in recruiting and training costs each year. At the end of the first year they want to develop an evaluation to determine if the new program is successful. The following questions are an important part of their re- search design.A total of 20 new agents were selected.a. If this group performs at the same level as past groups, what is the probability 17 or more success- fully meet their minimum sales goals in the first year?b. What is the probability 19 or more reach their min- imum sales goals given performance at the same level?c. If the program has actually increased the prob- ability of…