STA301 Current FinalTerm Paper 21 August 2016

Q1) Poportion of smokers in the cityof lahore p^=X/n =300/500

Q2) first moment ratio when mew2 =0.2 mew3=0 solution:mew3square/mew2cube=0/(0.2)cube=0

Q3)What type of distribution will be used to determine proportion of smokers and non smokers I think binomial distribution as it will result in two mutually exclusive events success and failure and all trials are independent

Q4) P(A union B) for not mutually exclusive events when P(A)=0.30 and P(B)=0.55 P(A intersection B)0.25
=0.30+0.55-0.25=0.6

Q5) determine n if zalpha by 2 is 1.96 andq^= 1-p^=0.84 and e=0.05 solution: p^=0.16 and n=z alpha by 2 square/e square *p^q^=207(may be wrong).

Q6) Values of X and corresponding P (X) were given and required was to determine P(X is less than 4) and P(X is greater than 4 and less than and equal to 8)

Q7) calculate cumulative probability distribution when X and corresponding probabilities were given

Q8) write moment ratios formula and values for normal distribution

Q9) N=5n=3 0,2,3,3,5 construct samples without replacement

Q10) difference between chebychev in equality and empirical formula

Q11)find E(X) and Var(X) when x is between -1 and 2. And g(x) is 1/3x^2. Solution: E(X)= 0.25 and E(X)^2=2.25 var(X)= 2.13

Q12) Define inferential statistics.

Q13) A process is in control average packing is 6oz s.d is 0.2 when a sample of 100 is selected average of sample is 6.1oz. Now determine whether the process is controlled or not? Z=1.645 given
Time management is very important as the paper is quite lengthy.