Measure of the typical distance of values from mean

Reference no: EM131816976

The random variable X for number of heads in a single coin toss has possible values 0 and 1, each with probability 0.5.

a. Explain why 0.5 is the mean of X.

b. Each of the two values of X has a distance of 0.5 away from the mean. Find the weighted average of the two squared distances from the mean, weighting each with probability 0.5, and take the square root to find the standard deviation of X.

c. Explain why your answer to part (b) makes sense as a measure of the typical distance of values from their mean.

Reference no: EM131816976

Questions Cloud

Number of mcdonald restaurants in various countries : Tell whether each of the following involves a categorical variable, a discrete quantitative variable, or a continuous quantitative variable.

Probability that the mean number of evenings : For each of the following situations, tell whether the two probabilities should be equal:

How does one yield contribute to marriotts objectives : What are the advantages of having one revenue management system instead of two? Consider both users and the IS department in your answer.

Survey of households in a farming village in nepal : A survey of households in a farming village in Nepal asked, "Do women from your household collect firewood?" and "How many women from your household collect.

Measure of the typical distance of values from mean : Explain why your answer to part (b) makes sense as a measure of the typical distance of values from their mean.

Mean and standard deviation of the busboy daily earnings : What are the mean and standard deviation of the busboy's daily earnings?

Average number of hours worked per week : The average number of hours worked per week for married men in the early 1990s had a mean of 42.6 and a standard deviation of 12.9.

Constant probability p of being in the category of interest : Tell whether each of these random variables is binomial; if not, tell which condition is not met (fixed sample size n, independence of selections

Create a process diagram : Create a process diagram, similar to that in Figure 10-9, that documents a business process and need for a facilities tracking system.

User Account

All Pages