Answer:
8 hours worked, 64 dollars
56 dollars, 7 hours worked
themepark:
5 hours worked, 45 dollars
6 hours worked, 54 dollars
8 hours worked, 72 dollars
working at the themepark earns 5 extra dollars when they work for 5 hours.
Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.
Step-by-step explanation:
If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is

or simply

and the zero-elsewhere case is assumed.
Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.