A problem is given to three students A, B and C, whose probabilities of solving the problem independently are $\rm \frac{1}{2}$, $\rm \frac{3}{4}$ and p respectively. If the probability that the problem can be solved is $\rm \frac{29}{32}$, then what is the value of p?

In a cricket match, a batsman hits a six 8 times out of 60 balls he plays. What is the probability that on a ball played he does not hit a six?

Direction: Consider the following for the next two (02) items that follow.

Two regression lines are given as 3x - 4y + 8 = 0 and 4x - 3y - 1 = 0.

Consider the following statements:

1. The regression line of y on x is $\rm y = \frac{3}{4}x+2$

2. The regression line of x on y is $\rm x = \frac{3}{4}y+\frac{1}{4}$

Which of the above statements is/are correct?

Direction: Consider the following for the next two (02) items that follow.

Two regression lines are given as 3x - 4y + 8 = 0 and 4x - 3y - 1 = 0.

Consider the following statements:

1. The coefficient of correlations r is $\rm \frac{3}{4}$.

2. The means of x and y are 3 and 4 respectively.

Which of the above statements is/are correct?