Assume that three business owners each own an identical storage building valued at 120,000$. Assume that there is a 1% chance in any year each building will be destroyed by a peril (fire), and that a loss to any of the buildings is an independent event. Assuming that: • Fire events are independent of each other • Each building faces same types of risks and environmental conditions. Given that, solve the following questions: 1. Use the compound probability of independent events law to find the sample space of the probability of each possible event 2. Find the annual expected loss for each of the insureds. 3. Find the risk of incurrence of losses (Std dev).

The revenues of a company increased by 39% in year one and decreased 22% in year two. what is the overall change over the two-year period?

Q3. loral corporation manufactures parts for an aircraft company. it uses a computerized numerical controlled (cnc) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ± 0.020 inch. the cnc process that manufactures these parts has a mean of 1.285 inches and a standard deviation of 0.005 inch. compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?