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Given E(x + c) = 8 and E(x – c) = 12, then the value of c is ... (a) -2 (b) 4 (c) -4

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Given E(x + c) = 8 and E(x – c) = 12, then the value of c is ... 

(a) -2 

(b) 4 

(c) -4 

(d) 2

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(a) -2

E(X + c) = 8 

E(X) + E(c) = 8

E(X) + c = 8 … (1) 

E(X – c) = 12 

E(X) – E(c) = 12 ⇒ E(X) – c = 12 ... (2) 

(1) – (2) ⇒ 2c = -4 = c = -2

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