Consider the experiment below using population S. We define two discrete random variables, X the numeric value of a randomly drawn circle and the indicator variable Y that equals 1 if the selected circle is shaded, and 0 if it is not shaded. Consider X, the numerical value on the circle. If the circles are equally likely to be chosen (say after shuffling), then in a large number of experiments (i. e., shuffling and drawing one of the ten slips), summarize the probabilities of possible outcomes using a probability density function.
Given a joint probability density function, find the marginal distributions for X and Y
What is the expected value of X?
What is the expected value of 3X+2
What is E[X|Y=1]?
What is Cov(X, Y)?

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is:

vertical=18cm horizontal=18cm hypotenuse=25.5

step-by-step explanation:

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

step-by-step explanation:

this is my explanation

step-by-step explanation:

20-2= what