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c) If 𝑌𝑌1, 𝑌𝑌2, ... , 𝑌𝑌𝑛𝑛 is a random sample from a distribution with mean 𝜇𝜇 and variance 𝜎𝜎2, state whether the following expressions are statistics or not. Please explain your decision for each expression.

(2)

(2)

(2) (2) ( 2 )

∑𝑛𝑛𝑛𝑛 𝑌𝑌 (i) 𝑖𝑖=1 𝑖𝑖

(ii) 3

∑ 𝑛𝑛𝑖𝑖 = 1 ( 𝑌𝑌 𝑖𝑖 − 𝑌𝑌 ) 2

𝜎𝜎2

(iii) 𝑌𝑌 + 𝑘𝑘 where 𝑘𝑘 is a constant. (iv) Max(𝑌𝑌1, 𝑌𝑌2, 𝑌𝑌3)

( v ) ∑ 𝑛𝑛𝑖𝑖 = 1 ( 𝑌𝑌 𝑖𝑖 − 𝜇𝜇 ) 2