Elementary Technical Mathematics
Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter B, Problem 1E

Draw a graph for each inequality on the number line:

x 4

Expert Solution & Answer
Check Mark
To determine

To graph: The inequality x4 on the number line.

Explanation of Solution

Given Information:

The provided inequality is x4.

Graph:

Consider the inequality, x4

To draw the inequality x<4 on the number line, shade all the points less than 4 and use a closed circle at 4 to show x=4 is a solution as,

Elementary Technical Mathematics, Chapter B, Problem 1E

Interpretation:

The graph represents that the solution of the inequality x4 includes all the real number less than or equal to 4

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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.
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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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