A stick of length L is broken at a random point uniformly distributed on the interval [0, L]. Two new sticks are formed. a) If X denotes the length of the longest new stick, calculate E(X) and V(X)
b) If Y denotes the length of the shortest new stick, calculate E(Y) and V(Y) Hint: X+Y = L, and L is not a random number.
c) An experiment consists on breaking sticks of length L independently as described before until the longest new stick has length of at least 0.9L. What is the expected number of sticks to be broken in this experiment.

n

step-by-step explanation:

the answer is c.

step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.

a

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