Often a shorthand notation is used, where the limits of summation (or integration) are omitted, and sometimes the subscripts;
For a discrete Random Variable X, where:
then the Expectation is defined by:
We get similar results for a continuous Random Variable X, where:
and the Expectation, is defined by (and shorthand):
and the variance is defined by:
We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a
Express your answer in the form of three inequalities. Give your answers in decimal fractions up to three places
A population of values has a normal distribution with
Find the probability that a single randomly selected value is between 133.6 and 134.1.
Write your answers as numbers accurate to 4 decimal places.
Random variable X and Y have the joint PDF
Find the marginal PDF
Given an sample of data set X which is normal-distributed to , I want to find the confidence interval of . As the cut the normal-distribution curve at the point of 200, the sample of is not more normal distributed. Therefore what is a reasonable confidence interval?