Solve all.

Assume we add a shift-premium design to the $600 million standard worth pass-through protections depicted to some extent (e) above, and this construction decided at issuance is as per the following: In months 1-12, level of prepayments coordinated to senior class is 92%; in months 13-36, 88%; and in months 37-72, 76%. Expect the $600 million standard worth is the sum exceptional toward the finish of two years and the complete head installment got during year 3 is $32 million ($25 million customary head installment and $7 million prepayment). Kindly show how subjection level changes from the finish of year 2 to the furthest limit of year 3. Subjection level = standard worth of subordinate class/standard worth of complete issue. Expect no default misfortunes.

Accept the all out head installment got during year 4 is $24 million ($18 million customary head and $6 million prepayment). Figure the subjection level toward the finish of year 4. Expect no default misfortunes.

(2) A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m of surface. The number of flaws on an area of surface follows a Poisson distribution. a. What is the probability that a surface with area 3 m x 5 m will contain more than 5 flaws? b. What is the probability that a surface with area 2 m x 3 m will contain no flaws? c. What is the probability that 50 surfaces, each with dimensions 3 m x 6 m, will contain more than 350 flaws in total?20. The average price for a gallon of gasoline is $3.73 in the United States and $3.40 in Russia (Bloomberg Businessweek, March 5-March 11, 2012). Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon? b. What percentage of the gas stations in Russia charge less than $3.50 per gallon? c. What is the probability that a randomly selected gas station in Russia charges more than the mean price in the United States?MA 111 Probability and Statistics Time Moyer Assignment 4.3 - 6.1 2. Fill in the blanks AND shade the corresponding area/ probability on the standard normal distribution curve. a. Find the area under the normal distribution curve... b. Find the area under the normal distribution curve... ...to the left of z = 1.3 ...between z = -.58 and z . 1.3 Calculator notation: Calculator notation: Answer: Answer: c. P(z