Straight Line Problem
The boiling temperature of water decreases 3.4° Celsius for each 1000 meter increase in altitude. This relationship can be expressed as
B = -3.4 A + 100, where
B is the boiling temperature of water at sea level in degrees Celsius
A is altitude in 1000's of meters
100 is the boiling temperature of water at sea level in degrees Celsius
- Rewrite the equation for degrees Fahrenheit and altitude in 1000's of feet.
- Graph your result.
- What is the boiling temperature of water in degrees Fahrenheit in Denver at 5000 feet elevation?
Here are two pieces of information to help you.
- km = kf/3.281 where km = 1000s of meters and kf = 1000s of feet
- F = 9/5 C + 32
Odds Problem
- The GMU basketball team is estimated to have a 30% chance of losing to Old Dominion U (ODU). What are the odds of GMU winning?
- If the payoff for betting $1 on GMU to lose is $3, what is the expected payoff for a $10 bet on ODU to win.
- What is the expected amount of money you will lose if GMU wins?
Probability Problem
A bag contains five balls. Three of the balls are red and have the numbers 1,2,and 3 written on them. Two of the balls are yellow and have the numbers 7 and 8 written on them. You are going to draw two balls without replacement and add the numbers on the balls. Given that event A = {both balls are red} and event B = {sum of both balls is divisible by 3}, Answer the following questions:
- What is the sample space for this experiment?
- P(A)
- P(B)
- P(A union B)
- P(A intersect B)
- P(A|B)
- P(B|A)
|