CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A discrete random variable X has the following probability distribution:
X: 1 2 3 4 5 6 7
P(X): c 2c 2c 3c c2 2c2 7c2+c
Then, P(X ≤ 2) = ____________.

Open in App
Solution

For a discrete random variable X
X P(X)
1 c
2 2c
3 2c
4 3c
5 c2
6 2c2
7 7c2 + c
Since i=17 pxi=1i.e. c+2c+2c+3c+c2+2c2+7c2+c=1i.e. 8c+c+10c2=1i.e. 10 c2+9c-1=0i.e. 10c2+10c-c-1=0i.e. 10cc+1-1c+1=0i.e. c=110
PX2=c+2c=2c+c=3c=3×110i.e PX2=310


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon