Example 3.1.7 Daily Number. A popul

Example 3.1.7 Daily Number. A popular state lottery game requires partcipants to select a three-digit number (leading 0s allowed). Then three balls, each with one digit, are chosen at random from well-mixed bowls. The sample space here consists of all triples (i_1,i_2,i_3 ) where i_1∈{0,…,9} for j=1,2,3. If s=(i_1,i,i_3 ), define X(s)= (〖100i〗_1,〖10i〗_2,i_3 ).. For example X(0,1,5)=15. It is easy to check that Pr(x=x)=0.001 for each integerx∈{0,1,…,999}. The distrion of X is uniform on the integers 0,1,…,999.

ผลลัพธ์ (อังกฤษ) 2:

Example 3.1.7 Daily Number. A popular state lottery game requires partcipants to select a three-digit number (leading 0s allowed). Then three balls, each with one digit, are chosen at random from well-mixed bowls. The sample space here consists of all triples (i_1, i_2, i_3) where i_1∈ {0, ..., 9} for j = 1,2,3. If s = (i_1, i, i_3), define X (s) = (〖〗 _1 100i, 10i 〖〗 _2, i_3) .. For example X (0,1,5) = 15. It is easy to check that Pr (x = x) = 0.001 for each integerx∈ {0,1, ..., 999}. The distrion of X is uniform on the integers 0,1, ..., 999.

ผลลัพธ์ (อังกฤษ) 3:

Example 3.1.7 Daily Number. A popular state lottery game requires partcipants to select a three-digit number (leading 0s. Allowed). Then three balls each with, one digit are chosen, at random from well-mixed bowls. The sample space here consists. Of all triples (,,) i_1 i_2 i_3 where i_1 ∈, 9}, {0... For J =,, 1 2 3. If s = (,, i_1 I i_3), define X (s) = (〖 100I 〗, _ 1 〖 10I 〗, _ 2 i_3). For! Example X (,, 0 1 5) = 15.It is easy to check that Pr (x = x) = 0.001 for each integerx ∈,,, {0 1... 999}. The distrion of X is uniform on the integers 0 1,,,... 999.