Inter (Part-I) Sahiwal Board 2016
Statistics
Part I (Objective Type)
Time Allowed: 20 Minutes 
Max. Marks: 17

Note: You have four choices 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.

Question #1
Circle the correct option i.e. A/B/C/D. Each part carries one mark.

• A measurable quantity is:

(a) Discrete
(b) Continuous
(c) Qualitative
(d) None

• Simple bar chart consists of:

(a) Circular region                                                                              
(b) Bars of equal width
(c) Adjacent rectangles                                                                              
(d) All of these

• If Y1=y2 = 3'y3 = 5 then EY/ is equal to:

(a) Zero
(b) 30
(c) -10
(d) 10

• Mean of first n-natural numbers is:

(a)
(b)
(c)
(d) 

• The best average in percentages, rates and ratios is:

(a) Mean                                                                                               
(b) Median
(c) Mode                                                                                              
(d) Geometric mean

• Mean deviation is least from:

(a) Mean
(b) Median
(c) Mode                                                                                        
(d) Harmonic mean

• For a normal distribution (x ± 3S) contains the observations:

(a) 68.27 %
(b) 88.27 %
(c) 95.45%
(d) 99.73 %

• First moment about mean is always:

(a) Positive
(b) Negative
(c) Zero                                                                                                                           
(d) 3

• An index computed for a group of commodities is:

(a) Simple index                                                                                        
(b) Composite index
(c) Both A and B                                                                                        
(d) None

• IF Ʃ poqo = 425, Ʃ pnqo = 505, then Laspeyre's price index Number is equal to:

(a) 84.1                                            
(b) 118.8                                          
(c) 128.3                                           
(d) 100

• Probability of an event "A" lies between:

(a) -1 and 1
(b) -1 and 0
(c) 0 and 1
(d) 0 and 2

• For two coins the probability of no head is:

(a) Zero                                            
(b) 1                                              
(c)                                             
(d)

• In case of continuous variable, probability at a specific value is:

(a) Zero                                            
(b) Negative
(c) 1                                                                                       
(d) Greater than 1

• If X and Y are two random variable then E(x - y) is:

(a) E(x) + E(y)                                                                                        
(b) E(x) - E(y)
(c) E (x-y)2                                                                                           
(d) E(x). E(y)

• If p=0.6, n=20 then variance of binomial distribution is:

(a) Zero                                           
(b) 1                                              
(c) 12                                              
(d) 4.8

• In hyper geometric distribution N = 6, n = 2, K = 3 then mean is:

(a) 1                                               
(b) 2                                               
(c) 3                                               
(d) 4

• Drawing of two cards without replacement follows:

(a) Binomial experiment                                                                                 
(b) Hyper geometric experiment
(c) Both A & B                                                                                         
(d) None of these

Inter (Part-I) Multan Board 2016
Physics
Part I (Subjective)
Time Allowed: 2.10 Hours 
Max. Marks: 83 

Note: Section I is compulsory. Attempt any three (3) questions from Section II and any three (3) parts from Section-III

SECTION - I

2. Write short answers of any Eight Parts.

• Define parameter and statistic.       
• Define inferential statistic.
• Write down the formulas for different averages.
• Define the median.
• Write down the empirical relationship between mean, median and mode.                                                                                                    
• Define the term mode.
• Given 1=200, fm = 25, f 1= 20, f2 = 20 and h = 10 . Find Mode.
• Define composite index number.
• Define link relative.
• Write the formula for Fisher's index no.
• Define quantity index number.
• Given Ʃ poqo=1500, Ʃ pnqo = 2040. Find base year weighted index number.

3. Write short answers of any. Eight Parts.

• What is simple bar chart?
• What are the main parts of a table? (any two only).
• Write down the types of dispersion.
• Define range with formula.
• What do you mean by coefficient of variation, write the formula also.
• Write the formula of Karl Pearson's Coefficient of skewness.
• Define the term "Moments".
• If Q1 = 88.03 and Q3 = 94.50. Compute coefficient of Q.D.
• Define permutations.                                                                                                
• Define exhaustive events.
• State the additions law of probability for two mutually exclusive events.
• If events A and B are mutually exclusive and P(A)=0.40, P(B)=0.60. Find P (A U B),

4. Write short answers of any Six Parts.                                                                                                                                                         

• What is meant by Random variable?
• If x = 1, 2, 3 and P(x)  , ,=   Find E(x).                                                   
• Can a random variable assume negative values?
• If E(x) = 3 and E(y) = 2.5. Find E (x + y).
• What is distribution function?
• If N = 10, n = 4, k = 6. Find variance of the hyper geometric distribution.
• If. n = 5, p = 0.25. Find P(x1),
• Define Bernouli trials.
• Write down the two properties of the hyper geometric distribution which are different from the binomial distribution.

SECTION - II

Attempt any TIIREE questions. Each questions carries 8 marks.

Question #5
(a) Find Geometric Mean from the following frequency distribution;

(b) The average marks obtained by three sections of a statistics
class are given below:

Find combined mean of the whole class.

Question #6
(a) The data of differences between the ages of husbands and wives is given below, calculate mean deviation from mean

(b) Given Ʃ f =120, Ʃ fx = 296 Mode = 2.944 and the second moment about mean is 1.4884. Calculate coefficient of skewness.                                                                                                                                        

Question #7
(a) Given the following information.

Calculate (i)  Laspeyre's price index (ii) Paasche's price index taking 2002 as base.

(b) A card is selected from a deck of playing cards. What is the
probability that the card is red or black.

Question #8
(a) A continuous random variable has a density function.
f (x)=  (x+ I) for 2 < x < 6. Find (i) P(x < 4) (ii) P(x > 3.5)
(b) Find mean and variance of the following probability distribution.

Question #9
(a) In a binomial distribution Mean = 2.4 and S.D = 1.2. Find (i) n and P (ii) P(X = 2).
(b) Four balls are drawn from the bag contains 4 white and 6
black balls. Find the probability distribution of white balls.