Answer to Question #173466 in Statistics and Probability for ANJU JAYACHANDRAN

Question

1. State whether the following statements are true or false. Give a short proof or a counter 

example in support of your answers: (10) 

 

 (a) Poisson distribution is a limiting case of binomial distribution for n p, 1

→ → ∞ and 

np ∞.

→

 (b) For two independent events A and B, if P(A) = 2.0 and P(B) = ,4.0 then 

(A∩ B) = .6.0

 (c) If H0

: P ≤ 6.0 and X ~ B(n, p)n -known and p unknown and 1 0 H :µ = µ where 

X ~ N

2 2

(µ,σ )σ unknown, then H0

 and H1

 are simple null hypothesis. 

 (d) Frequency density of a class for any distribution is the ration of total frequency to 

class width. 

 (e) If X and Y are independent r.v.s with M (t) X

 and M (t) Y

 as their m.gf’s 

respectively, then M (t) M (t)M t)

Answer 1

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