GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
136 views

asked in Probability by Boss (6.5k points)  
retagged by | 136 views

1 Answer

+4 votes
Best answer

Mean is dependent on both scale and shift factor hence scale and change of origin as :

Mean(ax + b)   =  a . Mean(x)  + b

where a is the scale factor and b is the shift factor

Whereas standard deviation and variance depends on scale factor only.

S.D.(ax + b)  =  |a| . S.D(x)   where S.D is the standard deviation

Var(ax + b)    =  a2 Var(x)  where Var(x) is the variance

Hence the answer to the above question should be A) option as standard deviation depends on scale only.

answered by Veteran (65.9k points)  
selected by


Top Users Apr 2017
  1. akash.dinkar12

    3508 Points

  2. Divya Bharti

    2542 Points

  3. Deepthi_ts

    2040 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Shubham Sharma 2

    1610 Points

  7. Debashish Deka

    1588 Points

  8. Arunav Khare

    1454 Points

  9. Kapil

    1424 Points

  10. Arjun

    1420 Points

Monthly Topper: Rs. 500 gift card

22,076 questions
28,040 answers
63,230 comments
24,135 users