A bank manager sees an average of 5.? new clients in her office every day. If the clients arrive at random throughout the day. determine the probability that she will see 5 clients in her office in the first half of the day today. Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. 0 Hypergeometric C} Geometric C) Poisson b. Calculate the probability of the indicated event. P (a) = Round to 3 signicant digits c. Determine the expected value and variance of the random variable. E(X) = Variance Round to 3 significant digits