← An investment firm offers its customers municipal bonds that mature after varying numbers of years. Given that the cumulative distribution function of T, the number of years to maturity for a randomly selected bond, is given by F(t), find (a) P(T= 11); (b) P(T> 5); (c) P(2.4

Lindsay is 25 years old and has a new job in web development. She wants to make sure that she is financially sound in 30 vears, so she plans to invest the same amount into a retirement account at the end of every year for the next 30 years. Note that because Lindsay invests at the end of the year, there is no interest earned on the contribution for the year in which she contributes. (a) Construct a data table that will show Lindsay the balance of her retirement account for various levels of annual investment and return. If Lindsay invests $14,000 at a return of 9% how much will she have (in dollars) in her retirement account at the end of 30 years. (Round your answer to the nearest dollar.) (b) Develop the two-way table for annual investment amounts of $5,000 to $20,000 in increments of $1,000 and for returns of 0% to 12% in increments of 1%. Using the table, what are the minimum annual investments Lindsay must contribute (in dollars) for annual rates ranging from 7% to 11% to accrue a…

Suppose that a decision maker's risk atitude toward monetary gains or losses x given by the utility function(x) = (50,000+x) 34/2. Suppose that a decision maker has the choice of buying a lottery ticket for $5, or not. Suppose that the lottery winning is $1,000,000, and the chance of winning is one in a thousand. Then..... O The decision maker should not buy the ticket, as the utility from not buying is 223.6, and the expected utility from buying is 223.59. The decision maker should not buy the ticket, as the utility from not buying is 223.6067, and the expected utility from buyingis 223.6065. O The decision maker should buy the ticket, as the utility from not buying 223.60, and the utility from buying is 224.4. The decision maker should buy the ticket, as the utility from not buying 223.6065, and the utility from buying is 223.6067.

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