the length would be anywhere between 1 and 1/2 and so the expected value is 1/4
30.47
No. The mean is the expected value of the random variable but you can also have expected values of functions of the random variable. If you define X as the random variable representing the result of a single throw of a fair die, the expected value of X is 3.5, the mean of the probability distribution of X. However, you play a game where you pay someone a certain amount of money for each throw of the die and the other person pays you your "winnings" which depend on the outcome of the throw. The variable, "your winnings", will also have an expected value. As will your opponent's winnings.
A scientist sawed a stick to a random length and called it one metre.
A larger random sample will always give a better estimate of a population parameter than a smaller random sample.
It simply means that you have a sample with a smaller variation than the population itself. In the case of random sample, it is possible.
Random means not expected. Something that is unpredictable, has no pattern or objective
Expected value of a random variable requires that the random variable can be repeated in experiment indefinitely. If the random variable can only be repeated finite times, e.g. once, there is an inadequacy of the expected value principle for a decision maker.
yes?
30.47
buy smaller
used for a smaller population
No. The mean is the expected value of the random variable but you can also have expected values of functions of the random variable. If you define X as the random variable representing the result of a single throw of a fair die, the expected value of X is 3.5, the mean of the probability distribution of X. However, you play a game where you pay someone a certain amount of money for each throw of the die and the other person pays you your "winnings" which depend on the outcome of the throw. The variable, "your winnings", will also have an expected value. As will your opponent's winnings.
around 12m long
The expected value is the long-run average value of repetitions of the experiment it represents.
What role are you expected to play. If it is a positive role accept it.
A scientist sawed a stick to a random length and called it one metre.
Suppose a normal random variable has a mean of 72 inches and a standard deviation of 2 inches. Suppose the random variable X measures the height of adult males in a certain city. One may therefore conclude that approximately 84% of the men in this population are shorter than?