RAWALPINDI BOARD 2014
PAPER STATISTICS PART-I
(Objective Part)
Time: 20 Minutes       Marks: 17

Note: You have four choice for each objective type question as A, B, C and D. The choice which you think is correct; fill that circle in front of that question number. Use marker or pen to fill the circles. Cutting or filling two or more circles will result in zero mark in that question.

• A fair coin is tossed four times, the probability of getting four heads is.

A) 1|16
B)
C)
D)

• In a hypergeomatric distribution N=6,n=2, K=3, , the mean is

A) 1
B)
C)
D)

• If K is a constant, then  K is

A) 5K
B)
C)
D)

•  Data classified by attributes are

A) Qualitative data
B)
C)
D)

• Total angle of the Pie-chart is

A) 360°
B)
C)
D)

• The mean of the first n natural numbers is

A) n(n+1)/2
B)
C)
D)

• The sum of deviations from arithmetic mean is

A) 0
B)
C)
D)

•  If X and Y are independent, then is equal to

A) Var(x) + Var(y)
B)
C)
D)

• For a symmetrical distribution:

A) β₁=0
B)
C)
D)

•  Mean deviation of the values 4, 4, 4 and 4 is

A) 0
B)
C)
D)

• In chain base method, the base period is

A) Changed
B)
C)
D)

• If Laspeyer’s index is 200 and Paasche's index is also 200, then fisher's index is

A) 200
B)
C)
D)

• For two independent events A and B, = 0.6 and  = 0.3, then P(A ∩ 8) is.

A) 0.18
B)
C)
D)

•  The probability of red card out of 52 cards is

A) 1/2
B)
C)
D)

•  If y=5x+10, then S.D(y) is

A) 5 S.D(X)
B)
C)
D)

• The distribution function F(x)  is equal to

A) P(X≤x)
B)
C)
D) 

• The parameters of the binomial distribution are

A) n and p
B)
C)
D)

Inter (Part-I) Rawalpindi Board 2014
Statistics
Part I s(Subjective)
Time Allowed: 3.10 Hours 
Max. Marks: 83

SECTION-I

2. Attempt any EIGHT short questions.

• If ∑P₀q₁ and ∑P₁q₁ then find Index number and name it.
• Define the term basket in consumer price Index number.
• Define variable and constant.
• Name the source of primary data,
• Define geometric mean.
•  Find Harmonic Mean of 2, 4 and 8.
•  What are percentiles?
•  If A=130, h=5 , n=100 and ∑ƒu=-24 find A.M.
•  Define arithmetic mean and write any two merits.
•  Define an Index Number.
• What is consumer price Index Number
•  Differentiate between simple and composite Index Number

3. Attempt any EIGHT short questions.

•  The sum of squares of deviations from mean of 10 values is 50. Find the value of the standard deviation.
•  Given X = 30, S.D = 15 and Coefficient skewness = 0.30, find the value of mode
•  Find the probability that an even number appears when a perfect cubical die is rolled
•  Define frequency curve.
• Explain frequency of a class.
•  Define moment ratios.
• Distinguish between absolute and relative dispersion.
• Given n=20 , X 5. and SD = 5, calculate CV
• Write down any two properties of standard deviation
• If P(A)=0.6 and P(B/A) find 
•  Define Combination.
• Define mutually exclusive events.

4. Attempt any SIX short questions.

• Write down two applications of random number.
• State-properties of  p.d.f.
•  Given E (X²)= 400, S-D = 12, then find E(X).
•  Enlist the properties of hypergeomatric experiment
• Given E(X) = 0.63 and var(X) = 0.223, find E(X²)
•  Differentiate between discrete and continuous random variables,
•  Define Bernoulli’s trial.
• If n=6 and q=4, then find mean and variance of binomial distribution.
• If N=14, n = 5, K= 4, then find values of mean and variance lance of Hypergeomatric distribution (H.G.D)

SECTION-II

Attempt any THREE questions.. (8 X 3 = 24)

Question #5 
a) The frequency distribution given below has been derived from the use of working origin. If - 18, compute G.M, of X.

b) Find quartiles from the following un-grouped data: 95.05, 94.90, 94.50, 84.60, 88.03

Question #6 
a) Find the co-efficient of quartile deviation from the following data:

b) Given results, find combined mean and S.D.
00, X,=12.5, S= 2.4; n₁=120 X₁=15.8,
S₂=4.2 ; n₃=150 ; X₃=10.5 ; S₃=3.7

Question #7 
a) Find index Number using 1977 as base year

b) A bag contains 5 white, 4 black and 3 red balls. If 3 balls are draw from bag by W.O.R method what is black? probability that

1.  All   are white
2.  Two are white and one is black?

Question #8
a) Given  the following probability distribution

Find: (i)E(x)  (ii)E(x)²

Question #9
a) The probability that a patient recover from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming  independence, find the probability that:

1.   Exactly 4 recover
2.  At least one recover

b) A box contains 10 items, 7 of which are good and 3 are defective. A sample of four items is to be selected. Compute the probability distribution for the number of defective.

SECTION –III:

Attempt any THREE Parts.

a) Calculate Geometric Mean for the following frequency distribution.

b) Find co-efficient of skewness by
i) Pearson's method by using sk = 3(mean - median)/S
ii) Bowley’s method from the following data.

c)Computer index number of the prices from the following data taking 1981 as base year and using median as an average.

d) The incidence of an occupational disease in an industry is such that the workers have the 20% chance of suffering from it. What is the probability that out of 6 workmen:
i) Not more than 2 will catch the disease
ii) 4 or more will catch the disease.
e) A bag contains 9 red and 7 green balls. 6 balls are selected at random without replacement. Find probability distribution of red ball. Also find expected number of red balls draw.