DISCRETE MATHEMATICS LOOSELEAF W/CONNECT
DISCRETE MATHEMATICS LOOSELEAF W/CONNECT
8th Edition
ISBN: 9781264309405
Author: ROSEN
Publisher: MCG
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Chapter A, Problem 6E
To determine

To prove:

For every real number x, y and z, if x + z = y + z, then x = y.

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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).
Assignment Brief: 1. Use the trapezium rule with five ordinates (four strips) to find an approximation to giving your answer to 2 decimal places. 1 dx x³ +3
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
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