g Over the long term, a continuous-time Markov chain on t1, 2, 3, 4u spends 10% of the time in state 1, and 30% of the time each in state 2, 3, and 4, respectively. Moreover, from any state i P t1, 2, 3, 4u, it stays on average i minutes before moving to a new state. (a) Find the stationary distribution of the continuous-time chain. (b) Find the stationary distribution of the embedded discrete-time chain.

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.

Acafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or french fries. he used a computer program to randomly select three dishes for monday's lunch. what is the theoretical probability the applesauce and broccoli will both be offered monday?

Ireally don't understand this, i'm really an idiot but i want to know how to figure this out. !