Determine the value c so that each of the following
functions can serve as a probability distribution of
the discrete random variable
x: (a)
f(x) =c(x2+ 4), for x= 0,1,2,3;
(b)f(x) =c(choose x from2)(choose 3 from 3-x) for x= 0,1,2.

Jose is going to use a random number generator 500500 times. each time he uses it, he will get a 1, 2, 3,1,2,3, or 44.

The median am of triangle ∆abc is half the length of the side towards which it is drawn, bc . prove that triangle ∆abc is a right triangle, and find angle mac and abm

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.