Answer :

Mean of any probability distribution is given by Mean = ∑xipi


Standard Deviation is given by SD = √ Variance where variance is given by:


Variance = ∑ xi2pi – (∑xipi)2


first we need to find the products i.e. pixi and pixi2 and add them to get mean and apply the above formula to get the variance.


p1x1 = ap and p2x2 = bq Similarly p1x12= a2p and p2x22= b2q


Mean = ap + bq


Variance = a2p + b2q – (ap + bq)2




[ p+q = 1 ……given]


=


SD = √{pq(a-b)2 } = |a-b|√pq


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

An urn contains 3Mathematics - Board Papers

Two cards are draMathematics - Board Papers

There are three cMathematics - Board Papers

Three numbers areMathematics - Board Papers

Let <span lang="EMathematics - Board Papers

Which of the follRD Sharma - Volume 2

Which of the follRD Sharma - Volume 2

A random variableRD Sharma - Volume 2