Question
An unbiased coin is tossed until a head appears. The
expected number of tosses required isSolution
Let X denote the number of tails tossed before the head appears. Then X is a geometric random variable. P(head) = 1 / 2 and the expectation is E(X)=1 / (1/2) = 2.
A rectangular piece of copper foil of length 56 cm and area 616 cm2 is folded along its width to form a cylinder such that there is only one ...
The volume of a cube is 512 cm³. If the cost of painting the cube is Rs. 6 per cm², then find the cost of painting five faces of the cube.
The volume and height of a cylinder are 7986 cm3 and 21 cm. Find the radius of the cylinder.
A square whose diagonal is 12√ 2cm is made base of the pyramid. if height of the pyramid is 15cm, then what is the total surface area of the pyramid.(...
The length of a rectangle, area of which is 315 cm2, is equal to the radius of a circle of area 3850 cm2. Find the perimeter of th...
In a triangle, the lengths of the sides are proportional to 4, 3, and 5. If the area of this triangle is 216 square centimeters, determine the triangle'...
Perimeter of a square is equal to the perimeter of a circle that is 704 cm. Find the ratio of the side of the square to the radius of the circle.
- A hollow cylindrical drum has an internal radius of 4.8 cm. If its length is 18 cm and the thickness is 2.5 cm, calculate the volume of the drum. (Use π =...
The area of four walls of a room is 192 cm2. If the length and breadth of the room were equal and the height of the room is 6 cm, then what i...
A circular wire of diameter 56 cm is folded in the shape of a rectangle whose sides are in the ratio 6:5. Find the area enclosed by the rectangle.