Answer to Question #60647 in Statistics and Probability for esita

Question

Which of the following statements are true or false? Justify your answer.
i) For normal distribution, mean deviation about mean is greater than quartile
deviation.
ii) In uniform distribution, the percentile points are equi-spaced.
iii) A high positive value of coefficient of correlation between the increase in cigarette
smoking and increase in lung cancer establishes that cigarette smoking is responsible
for lung cancer.
iv) In the case of Poisson distribution with parameter λ, x is sufficient for λ .
v) The sum of two independent Poisson variates is also a Poisson variate.
vi) If Var(X ) = Var ) (Y and 2X + Y and X − Y are independent, then X and Y are
independent.
vii) Mutually exclusive events are not independent.
viii) For any two events A and ) B, P(A∩ B cannot be less than either ) P(A or ) P(B .
ix) If 0 P(A) = , then A = φ.
x) If P(A∩ B) = ,2/1 P(A ∩ B) = 2/1 and 2 , then the value of P(A) = P(B) = p p is
4/1 .