The probability distribution of random variable X with two missing probabilities p_1 and p_2 is given below: \X {\P}( {\X}) 1 k 2 p_1 3 4 k 4 p_2 5 2 k It is further given that {\P}( {\X} \leq 2)=0.25 and {\P}( {\X} \geq 4)=0.35. Consider the following statements: \text{ I. } p_1=p_2 \text{ II. } p_1+p_2= {\P}( {\X}=3) Which of the statements given above is/are correct?

Correct Answer is : Neither I nor II

UPSC NDA I 2010 Mathematics Paper

Question : 92 of 120

Marks: +1, -0

The probability distribution of random variable X with two missing probabilities p1 and p2 is given below:

X	P(X)
1	k
2	p1
3	4k
4	p2
5	2k

It is further given that P(X≤2)=0.25 and P(X≥4)=0.35.
Consider the following statements:
‌ I. ‌p1=p2‌‌ II. ‌p1+p2=P(X=3)
Which of the statements given above is/are correct?

I only
II only
Both I and II
Neither I nor II

Validate

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