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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematical Statistics (MS)
E, serect nen K, and arag to the ravorites Bar Tolder, or import from another browser, Import Tavorites Add no A Read aloud Fit to page Page view + of 38 Let th
e, serect nen K, and arag to the ravorites Bar Tolder, or import from another browser, Import Tavorites Add no A Read aloud Fit to page Page view + of 38 Let the random variable X have moment generating function 3 Mt)=e , tER Then P(X s2) is D) (C) (B) 3 (A) 3 2 4 MS-1/32
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Ayan Paul![best-answer]()
The given mgf can be written as exp(2t+2t^2) = exp(2t+(1/2*4)t^2) which is obviously the mgf of N(2,4) distribution by the uniqueness of mgf. So, X ~ N(2,4). Hence P(X<=2) = B) 1/2.