A bank manager sees an average of 5.2 new clients in her office every day. If the clients arrive at random throughout the day, determine the probability that she will see 4 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. O Hypergeometric O Geometric O Poissonb. Calculate the probability of the indicated event. P (ac) = NaN Round to 3 significant digits c. Determine the expected value and variance of the random variable. E(X) O Variance = 0 Round to 3 significant digits