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Mathematics C2 13
(i) The number of products weighing more than 5 10/0g is 3,

According to the frequency histogram, the frequency of products weighing more than 5 10g is 0.0 1× 5 = 0.05.

∴ from N×0.0 1×5=3, n = 60.

(ii) All possible values of ξ are 0. 1.2,

The quantity of products with weight greater than 505g is 60× (0.05× 5+0.01× 5) =18 pieces.

p(ξ= 0)= c 2 13c 2 18 = 355 1,

p(ξ= 1)= c 1 13c 15c 2 18 = 5 17,

p(ξ= 2)= c25c 2 18 = 15 1,

The list of ∴ξdistribution is:

? ξ? 0? 1? 2? p? 355 1? 5 17? 15 1∴eξ=0×355 1+ 1× 155 1+2× 15 1= 13.