random experiment and sample space

Random Experiment and Sample Space - An experiment repeated under essentially homogeneous and similar conditions results in an outcome, which is unique or not unique but may be one of the several possible outcomes. When the result is unique then the..

An experiment repeated under essentially homogeneous and similar conditions results in an outcome, which is unique or not unique but may be one of the several possible outcomes. When the result is unique then the experiment is called a 'deterministic' experiment..

A bag has red, blue, and green balls. A coin is tossed and a ball is picked at random simultaneously. Find the sample space from the tree diagram. => (RH, RT, BG, BT, GH, GT) or (RH, RB, BH, BT, GH, GT) or (RH, RT, BH, BT, GH, GT) or (RH, HT, BH, BT, GH, GT)..

Take a beaker of water. Add a pinch of salt (sodium chloride) and stir. The water dissolves the salt and the salt spreads out throughout the water. Two samples of this solution taken from two different parts of the beaker will have the same composition. So, the solution is said to be homo..

From a fruit bowl containing a banana (B) and an apple (A), a fruit is picked at random, replaced in the bowl and another fruit is picked. Find the sample space. => BB or BB, BA, AA or AA, AB or AA, AB, BA, BB..

A bag has red, blue and green balls. A coin is tossed and a ball is picked at random simultaneously. Find the sample space from the tree diagram. => (RH, HT, BH, BT, GH, GT) or (RH, RT, BH, BT, GH, GT) or (RH, RT, BG, BT, GH, GT) or (RH, RB, BH, BT, GH, GT)..

A coin is tossed. Write the sample space. => {T} or {H, T} or { } or {H}..

Random Variable and Probability Distribution - If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT..

If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 1 1 0 x is called a rand..

Let S be a sample space associated with a given random experiment. A real valued function X which assigns to each w i S, a unique real number, X( w i ) = x i is called a random variable . Two types of random variables..