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  • The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is,

Q. 16  The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is, Choose the correct answer in the following:

               (A)  1

               (B)   2

               (C)  5

               (D)  \frac{8}{3}

Answers (1)

best_answer

X is number representing on die.

 Total observations = 6

P(X=1)=\frac{3}{6}=\frac{1}{2}

P(X=2)=\frac{2}{6}=\frac{1}{3}

P(X=5)=\frac{1}{6}

X 1 2 5
P(X) \frac{1}{2} \frac{1}{3} \frac{1}{6}

E(X)=1\times \frac{1}{2}+2\times \frac{1}{3}+5\times \frac{1}{6}

E(X)= \frac{1}{2}+ \frac{2}{3}+ \frac{5}{6}

E(X)=\frac{12}{6}=2

Option B is correct.

Posted by

seema garhwal

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