A college foundation raises funds by selling raffle tickets for a new car worth $45,0 tickets are sold for $100 each, determine: a. The expected net winnings of a person buying one of the tickets.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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series, and 16 times where all Se
number of games played in the World Series.
gan
5.825games 3
3. Betty is playing a game with a fair die. If she rolls a prime number, she scores 10 times the
number rolls. If she rolls a compošite number, she scores 5 times the number rolls. If she roils
anything else, she scores the number rolled. What score should Betty expect on average?
58.5 points
4. The spinner below is being used in a casino game. The spinner has eight equal sectors. Each
sector is a certain color (P = purple, R = red, Y = vellow, and B = blue). You must pay $5 to play
the game. If the arrow lands on purple, the pavoff is zero. If the arrow lands on red, the payoff is
$3. If the arrow lands on yellow, the payoff is $6. If the arrow lands on blue, the payoff is STo.
If you play this game, what is your expected net winning?=-$0 15
O -5 3-5
6-5 |lb-5
P
R
winning-$5/-28 $1
EG) = -53) -2G) +1
R
Y
2
Y
B
= -$0.15
5. An insurance company will insure a $130,000 home for its total value for an annual premium of
$950. If the company spends $30 per year to service such a policy, the probability of total loss
for such a home in a given year is 0.002 and a partial loss of $5000 is 0.005. If you assume that
either total loss, $5000 partial loss or no loss will occur, what is the company’s expected annual
gain (or profit) on such a policy?
4 635
6. A college foundation raises funds by selling raffle tickets for a new car worth $45,000. If 800
tickets are sold for $100 each, determine:
The expected net winnings of a person buying one of the tickets.
a.
b. The total profit for the foundation, assuming that the car was donated.80,00 O
800(100) = 80600
c. The total profit for the foundation, assuming that it had to purchase the car.
80000 -45000 Es 35000
2/2
Transcribed Image Text:series, and 16 times where all Se number of games played in the World Series. gan 5.825games 3 3. Betty is playing a game with a fair die. If she rolls a prime number, she scores 10 times the number rolls. If she rolls a compošite number, she scores 5 times the number rolls. If she roils anything else, she scores the number rolled. What score should Betty expect on average? 58.5 points 4. The spinner below is being used in a casino game. The spinner has eight equal sectors. Each sector is a certain color (P = purple, R = red, Y = vellow, and B = blue). You must pay $5 to play the game. If the arrow lands on purple, the pavoff is zero. If the arrow lands on red, the payoff is $3. If the arrow lands on yellow, the payoff is $6. If the arrow lands on blue, the payoff is STo. If you play this game, what is your expected net winning?=-$0 15 O -5 3-5 6-5 |lb-5 P R winning-$5/-28 $1 EG) = -53) -2G) +1 R Y 2 Y B = -$0.15 5. An insurance company will insure a $130,000 home for its total value for an annual premium of $950. If the company spends $30 per year to service such a policy, the probability of total loss for such a home in a given year is 0.002 and a partial loss of $5000 is 0.005. If you assume that either total loss, $5000 partial loss or no loss will occur, what is the company’s expected annual gain (or profit) on such a policy? 4 635 6. A college foundation raises funds by selling raffle tickets for a new car worth $45,000. If 800 tickets are sold for $100 each, determine: The expected net winnings of a person buying one of the tickets. a. b. The total profit for the foundation, assuming that the car was donated.80,00 O 800(100) = 80600 c. The total profit for the foundation, assuming that it had to purchase the car. 80000 -45000 Es 35000 2/2
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