**[OBJECTIVE]**

**Subject:** Probability and Statistics

**Time Allowed: **10 Minutes

**Maximum Marks**: 10

**NOTE:** Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

__Part-I Encircle the correct option, cutting and overwriting is not allowed. (10)__

1. Statistics at large, deals with

a) sampling b) uncertainty.

c) model building d) correlations.

2. _________ cannot be computed in case of open-end classes

a) median b) mean

c) mode d) central tendencies

3. Dispersion measures _________ of any data.

a) variability b) scatterness

c) efficiency d) a & b

4. Centeral tendencies of any data are _______.

c) single figure presentation of data d) all of the above

5. Stem & leaf diagram and Histogram can lead to judge _______.

a) scatterness b) Normality

c) a & b d) none of the above.

6. Poisson probability deats with

a) Discrete events b) rare events

c) limited number of observations d) a & b both

7. The two events A and B are mutually exclusive which of the following statements must be true?

a) P(A⋃B)=0 b) P(A)+P(B)=1

c) P(A⋂B)=1 d) Not any of a, b & c

8. If P(A)=1-P(B), then A and B are _______ events.

a) Mutually exclusive events b) complimentary events

c) exhaustive events d) both b & c

9. The strength of a linear relationship between two variables Y and X is measured by

a) r2 b) R2

c) r d) None of above

10. In the regression equation Y = α + βx + ε, both X and Y variables are

a) Random b) Fixed

c) X is fixed and Y is random d) Y is fixed and X is random

**[SUBJECTIVE]**

**Subject:** Probability and Statistics

**Time Allowed: **2 Hours 45 Minutes

**Maximum Marks**: 50

**NOTE:** ATTEMPT THIS (SUBJECTIVA) ON THE SEPARATE ANSWER SHEET PROVIDED.

__Part-II Give short details of each of them, each answer carries equal marks. (20)__

**Q#**1: How descriptive Statistics is helpful in decision making?

**Q#**2: What is the use of Box-Cox plots?

**Q#**3: Write any four tools of exploratory data analysis.

**Q#**4: What is the role of Moments in measuring scatterness.

**Q#**5: List the parameters of Normal distribution.

**Q#**6: What is the main difference between the Binomial and Poisson experiments?

**Q#**7: Differentiate between trial, event and sample space.

**Q#**8: What purpose does the Baye’s theorem serve?

**Q#**9: Write any two properties of least Square regression line.

**Q#**10: Write the properties of correlation coefficient.

__Part-III Give brief answers, each answer carries equal marks. (30)__

**Q#**1: Given the following frequency distribution of weights, calculate the Mean and geometric mean.

By calculating the co-efficient of variation in each case, find which team may be considered more consistent.

**Q#**3: Two coins are tossed. What is the conditional probability that two heads result, given that there is at least one head?

**Q#**4: Two hundred passengers have made reservations for an airplane flight. If the probability that a passenger who has a reservation will not show up is 0.04, what is the probability that exactly three will not show up?

**Q#**5: Let X be N(100, 225). Find the following probabilities:

**a)**P(X≤92.5)**b)**P(Xs 107.5)**c)**P(X2z 124)**d)**P(112≤X≤128.5)**e)**P(91≤X≤127),