111.

Which one of the following functions is neither even nor odd ?

• x² - 1

• x + 

• x²(x - 3)

A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace ?

• $\frac{1}{13}$

• $\frac{2}{13}$

• $\frac{3}{13}$

• $\frac{1}{52}$

Consider the following statements :

Statement 1 : Range is not a good measure of dispersion.

Statement 2 : Range is highly affected by the existence of extreme values.Which one of the following is correct in respect of the above statements ?

• Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1

• Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation of Statement 1

• Statement 1 is correct but Statement 2 is not correct

• Statement 2 is correct but Statement 1 is, not correct

If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct ?

• 2 x Standard deviation = 5 x Mean deviation

• 5 x Standard deviation = 2 x Mean deviation

• 4 x Standard deviation = 5 x Mean deviation

• 5 x Standard deviation = 4 x Mean deviation

Data can be represented in which of the following forms ?

1. Textual form
2. Tabular form
3. Graphical form

Select the correct answer using the codes given below.

• 1 and 2 only

• 2 and 3 only

• 1 and 3 only

• 1, 2 and 3

Consider the following statements:

1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other.
2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct ?

• 1 only

• 2 only

• both 1 and 2

• neither 1 nor 2

If two fair dice are thrown, then what is the probability that the sum is neither 8 nor 9 ?

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{3}{4}$

• $\frac{5}{6}$

Let A and B be two mutually exclusive events with

$\mathrm{P}\left(\mathrm{A}\right) = \frac{1}{3} \mathrm{and} \mathrm{P}\left(\mathrm{B}\right) = \frac{1}{4}$. What is the value of $\mathrm{P}\left(\overline{\mathrm{A}} \cap \overline{\mathrm{B}}\right) ?$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{1}{3}$

• $\frac{5}{12}$

The mean and the standard deviation of a binomial distributions are. 12 and 2 respectively. What is the number of trials ?

• 2

• 12

• 18

• 24

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrecly as 40 instead of 35. If we correct the data, then which one of the following is correct ?

• The mean and the median remain the same

• The median remains the same but the mean will decrease 

• Both the mean and the median will decrease

• The mean remains the same but the median willdecreas