Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Distribution
Suppose X ~ Poisson \(\left(\frac{3}{4}\right)\). Then which of the following statements is true?
1
\(\rm P(X>9) \geq \frac{11}{12}\)
2
\(\rm P(X<9) \geq \frac{11}{12}\)
3
\(\rm E\left(X-\frac{3}{4}\right)^2 \geq \frac{11}{12}\)
4
\(\rm\frac{11}{9} X \sim Poisson \left(\frac{11}{12}\right)\)