Probability and Statistics Mid - I, September - 2011

1.If B⊂ A then P(A ∩B) =
  • P(A)+ P(B)
  • P(A)-P(B)
  • P(B)-P(A)
  • P(A).P(B)
Answer: B
2.variance of binomial distribution is
  • p+q+n
  • np
  • npq
  • p+q
Answer: C
3.The distribution in which mean, median , mode are equal
  • binomial distribution
  • poisson distribution
  • beta distribution normal
  • normal distribution
Answer: D
4.The finite population correction factor is
  • (n - N)/(N - 1)
  • (N - n)/(N - 1)
  • (N - 1)/(N - n)
  • none
Answer: B
5.Standard error for single proportion
  • sqrt(nPQ)
  • sqrt(σ/n)
  • σ/sqrt(n)
  • sqrt(PQ/n)
Answer: D
6.If P(B)=1/3 P(A n B)=1/5 then P(Ao n B)=
  • 4/15
  • 2/15
  • 1/15
  • 3/15
Answer: B
7.Find the probability og getting a sum 10 if we throw two dice .
  • 1/12
  • 2/9
  • 3/4
  • 1/6
Answer: A
8.If the distribution is given by

X           2        3     11
P(X)      1/3     �     1/6

Then E(X)=
  • 0
  • 1
  • 2
  • 4
Answer: D
9.P1 = 2/5 P2 = 1/4 and P = 0.3 then Z=
  • 1
  • 0
  • 0.49
  • 0.5
Answer: C
10.The value of the test statistic which separates the critical region and acceptance
region is
  • critical value
  • rejection value
  • acceptance value
  • None
Answer: A
11.If P(A).P(B).P(C)=P(A��B��C) then the events A,B,C are ____________
Answer: Independent
12.X1, X2 are random variables then E(X1 X2)= _____________________
Answer: E(x1)+E(x2)
13.Standard error of the statistic sample mean X is __________
Answer: n/sqrt(σ)
14.The statistical constants of the population are called _________
Answer: Parameter
15.The probability of type I error is also called ___________
Answer: probability of rejecting H0 when H0 is true
16.In a sample of 1000 people in Maharashtra , 540 are rice eaters and rest are wheat
eaters . Then sample proportion of rice eaters _________
Answer: 0.54
17.The probability that a leap year will have 53 Tuesdays is __________________
Answer: 2/7
18.The mean end variance of a poisson distribution are _____________
Answer: Equal
19.Statistical measurement about sample are called ______________________
Answer: Statistic
20.In Type -1 error reject H0when it is ____________
Answer: True