EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 8, Problem 27P

The standard air density. D (average of measurements made), at different heights, h, from sea level up to a height of 33 km is given below.

 

    h(km) 0 3 6 9 12 15
    D(kg/m3) 1.2 0.91 0.66 0.47 0.31 0.19
    h(km) 18 21 24 27 30 33
    D(kg/m3) 0.12 0.075 0.046 0.029 0.018 0.011

(a) Make the following four plots of the data points (density as a function of height): (1) both axes with linear scale; (2) h with log axis, D with linear axis; (3) h, with linear axis, D with log axis; (4) both log axes. According to the plots, choose a function (linear, power, exponential, or

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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).

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EBK MATLAB: AN INTRODUCTION WITH APPLIC

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