3. A box contains ten Php10 bills, five Php20 bills, three Php50 bills and one Php100 bill, and one Php500 bill. A person is charged Php75 to select one bill. Find the expectation. Is the game fair? 4. Ifa person rolls doubles when he tossed two dice, he wins Php5. For the game to be fair, how much should the person pay to play for the game? 5. If a 60-year-old buys a Php1000 life insurance policy at a cost of Php60 and has a probability of 0.972 of living to age 61, find the expectation of the policy.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3. A box contains ten Php10 bills, five Php20 bills, three Php50 bills and one Php100 bilI, and one
Php500 bill. A person is charged Php75 to select one bilI. Find the expectation. Is the game fair?
4. If a person rolls doubles when he tossed two dice, he wins Php5. For the game to be fair, how
much should the person pay to play for the game?
5. If a 60-year-old buys a Php1000 life insurance policy ata cost of Php60 and has a probability of
0.972 of living to age 61, find the expectation of the policy.
Transcribed Image Text:3. A box contains ten Php10 bills, five Php20 bills, three Php50 bills and one Php100 bilI, and one Php500 bill. A person is charged Php75 to select one bilI. Find the expectation. Is the game fair? 4. If a person rolls doubles when he tossed two dice, he wins Php5. For the game to be fair, how much should the person pay to play for the game? 5. If a 60-year-old buys a Php1000 life insurance policy ata cost of Php60 and has a probability of 0.972 of living to age 61, find the expectation of the policy.
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