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A random variable X has the following pr...

A random variable X has the following probability distribution
The mean and standard deviation if X are rspectively

A

2 and 3

B

3 and 1

C

`3 and sqrt2`

D

2 and 1

Text Solution

Verified by Experts

The correct Answer is:
B

The computation of mean and standard deviation is as follows
Clearly mean `=Sigmap_ix_i=3`
Now, variance (X) `=Sigmap_iX_i^2-(Sigmap_ix_i)^2=10-9=1`
`rArr` standard deviation `=sqrt(Var(x))=sqrt1=1`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PROBABILITY-Exercise 2 (MISCELLANEOUS PROBLEMS)
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