A company insures homes in three cities, X, Y, and Z. Since sufficient distance separates the cities, it is reasonable to assume that the losses X, Y, and Z occurring in these cities are mutually independent The moment generating functions for the loss distributions of the cities are: Mx(t) (1-2t)-25, My(t) (1 2t)-3, Mz(t)( 2t)-3.5 Let U represent the combined losses from the three cities: U X + Y + Z. a. Calculate E[U] b. Find the joint moment generating function of X, Y and Z: Mxyz(s, t, w).

Analyze the data sets below. data set a 25,25,25,26,26,26,27,28,28,29,30,31 ,31,32,33,33,34,35,35,35 data set b 25,25,25,26,26,26,26,27,27,27,27,28 ,28,29,29,30,31,31,32,34 which of the following statement are true? select all that apply. a. data set a is relatively symmetric and data set b is skewed left. b. the means of the data sets are within 3 units from eachother. c. the data sets have the same standard deviation. d. the mean of data set a is 27.95 and the mean of data set b is 30. e. the data set b has a higher standard deviation than data set a. f. the mean and median of data set a are close in value.

Graph g(x)=2cosx . use 3.14 for π . use the sine tool to graph the function. graph the function by plotting two points. the first point must be on the midline and closest to the origin. the second point must be a maximum or minimum value on the graph closest to the first point.

Qrst is a parallelogram. determine the measure of ∠q pls