The sample space of a random experiment is {a, b,c, d,e} with probabilities 0.1,0.1,0.2,0.4, and 0.2, respectively. let a denote the event {a, b,c}, and let b denote the even t {c, d,e}. determine the following:

a. p(a)
b. p(b)
c. p(a’)
d. p(aub)
e. p(anb)

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.