Calculate approximately how many years it will take per capita GDP in the United States, Mexico, China, Rwanda, and Haiti to double, assuming that each country continues to grow at the same average rate as between 1960 and 2010.

Country GDP per capita in 2010 Average Annual Growth

U. S. 41,365 2.00
Mexico 11,939 1.79
China 1,410 -0.14
Rwanda 7,746 4.72
Haiti 1,025 0.60

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.