LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (6.0k points)

Three numbers are selected at random (without replacement) from first six positive integers. Let X denote the largest of the three numbers obtained. Find the probability distribution of X. Also, find the mean and variance of the distribution.

1 Answer

+1 vote
by (11.9k points)
selected by
Best answer

The variance X takes values 3, 4,5 and 6

Alternative Method :

We have first six positive integers as 1,2,3,4,5,6.

But X can take values 3,4,5,6

[:. 1 and 2 cannot be selected since among 3 numbers the greatest is required]

P(X) = P(3 and other numbers which are less than 3) i.e., (1,2,3)

= 0.7875

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.