An investment firm offers its customers municipal bonds that matureafter varying numbers of years. Given that the cumulative distributionfunction of T, the number of years to maturity for a randomlyselected bond, is given by F(t), find (a) P(T = 6); (b) P(T> 6); (c)P(1.2

The cumulative distribution function of T, the number of years to maturity for a randomly selected…

Answered: An investment firm offers its customers…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: x<1 0.30 1sx<3 3sx< 4 4sx< 6 65x< 12 12
An certain brand of upright freezer is available in three different rated capacities: 16 ft³, 18 ft³, and 20 ft³. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. | X p(x) E(X)= E(X²) = V(X) = 18 20 16 0.1 0.4 0.5 (a) Compute E(X), E(X²), and V(X). ft ³ (b) If the price of a freezer having capacity X is 61X- 650, what is the expected price paid by the next customer to buy a freezer? $ (c) What is the variance of the price paid by the next customer? (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X – 0.009x2. What is the expected actual capacity of the freezer purchased by the next customer? (Enter your answer to four decimal places.) ft³
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In an economic enterprise, the total amount T that is produced is a function of the amount n of a given input used in the process of production. For example, the yield of a crop depends on the amount of fertilizer used, and the number of widgets manufactured depends on the number of workers. Because of the law of diminishing returns, a graph for T commonly has an inflection point followed by a maximum, so a cubic model may be appropriate. In this exercise we use the model shown below, with n measured in thousands of units of input and T measured in thousands of units of product. T = −2n3 + 3n2 + n (a) Make a graph of T as a function of n. Include values of n up to 1.5 thousand units. (b) Express using functional notation the amount produced if the input is 1.02 thousand units. (Round your answer to two decimal places.)T( )Calculate that value. (Round your answer to two decimal places.) thousand units(c) Find the approximate location of the inflection point. (Round…
2. Find the final value of f(t), if: 5(s +2) s(s +1) F(s) =
The change from religious to lay teachers at Roman Catholic schools has been partly attributed to the decline in the number of women and men entering religious orders. The percent of teachers who are lay teachers is given by the following where t is measured in decades, with t= 0 corresponding to the beginning of 1960, and 0 ≤ t≤ 4. f (t) = 96 1+2.75e-t (a) What percentage of teachers were lay teachers at the beginning of 1970? (b) How fast was the percent of lay teachers changing at the beginning of 1970? %/decade

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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 = 6); (b) P(T>6); (c) P(1.2