Let X and Y represent prices (in Rs.) of a commodity in Kolkata and Mumbai respectively. It is given that $\overline{\mathrm{X}} = 65, \overline{\mathrm{Y}} = 67$

σ_X = 2.5, σ_Y = 3.5 and r(X, Y) = 0.8. What is the equation of regression of Y on X ?

• Y = 0.175X – 5

• Y = 1.12X – 5.8

• Y = 1.12 X – 5

• Y = 0.17X + 5.8

In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers ?

• $\frac{1}{15}$

• $\frac{1}{2}$

• $\frac{2}{15}$

• $\frac{1}{5}$

A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2 boys and 1 girl ?

• $\frac{2}{3}$

• $\frac{1}{4}$

• $\frac{3}{4}$

• $\frac{1}{2}$

A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is the probability that all the coins picked will be counterfeits ?

• $\frac{1}{91}$

• $\frac{4}{91}$

• $\frac{6}{91}$

• $\frac{15}{91}$

105.

A husband and wife appear in an interview for two vacancies for the same post. The Probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. If the events are independent, then the probability of which one of the following is 11/35 ?

• At least one of them will be selected

• Only one of them will be selected

• None of them will be selected

• Both of them will be selected

What is the probability that February of a leap year selected at random, will have five Sundays ?

• $\frac{1}{5}$

• $\frac{1}{7}$

• $\frac{2}{7}$

• 1