In one model of the changing population P(t) of a community, it is assumed that dP dt = dB dt − dD dt , where dB/dt and dD/dt are the birth and death rates, respectively. (a) Solve for P(t) if dB/dt = k1P and dD/dt = k2P. (Assume P(0) = P0.)

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played she found that the restaurant was playing country 11 times rock & roll 17 times and blues 8 times use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time mahnoor walks in.