Let Y have density function f (y) = $ cye−2y , 0 ≤ y ≤ [infinity], 0, elsewhere. a Find the value of c that makes f (y) a density function. b Give the mean and variance for Y . c Give the moment-generating function for Y .

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4