LIVE Course for free

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

Let X denote the number of colleges where you will apply after your results and P(X = x) denotes your probability of getting admission is x number of colleges. It is given that :

where k is a positive constant. Find the value of k. Also, find the probability that you will get admission in 

(i) Exactly one college 

(ii) At most 2 colleges 

(iii) At least 2 colleges.

1 Answer

+2 votes
by (11.9k points)
selected by
Best answer

We know that, sum of all the probabilities of  distribution is always 1.

(i) P(getting admission in exactly one college)

= P(X = 1) =1/8 (Using (i))

(ii) P (getting admission in at most 2 colleges)

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.