Let the random variable yn have a distribution that is b(n, p).
(a) prove that yn/n converges in probability to p. this result is one form of the weak law of large numbers.
(b) prove that 1 − yn/n converges in probability to 1 − p.
(c) prove that (yn/n)(1 − yn/n) converges in probability to p(1 − p).

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2

Three friends went on a road trip from phoenix, az, to san diego, ca. mark drove 50 percent of the distance. jason drove 1/8 of the distance. andy drove the remainder of the distance. 1. andy thinks he drove 1/4 of the distance from phoenix, az, to san diego, ca. is andy correct? 2. the distance from phoenix, az, to san diego, ca, is 360 miles. how many miles did each person drive? 3. solve the problem. what is the answer in total?