Please help me with this Bayes network question.

[15 pts] Consider the belief network for a "Simple diagnostic system given below. Use the network to answer the following questions. Influenza Smokes Sore Throat Fever Bronchitis Coughing Wheezing(d) (2 points) Suppose Wheezing is observed to be true. Does the observing Fever Change the probability of Smokes? That is, is P[Smokes|Wheezing) 75 P(Smokes|Wheezing, Fever)? (e) (2 points} What could he observed so that subsequently observing Wheezing does not change the probability of SoreThIoat. That is, specify a variable or variables X such that P [SoreThrooX ) : P[So'rsThroat|X, Wheezing), or state that there are none. Explain why. (f) (5 points) Suppose Allergies eould be another explanation of Sore Throat. Change the network {i.e. Draw the network] so that Allergies also affects Sore Throat but is independent of the other variables in the network . Give reasonable probabilities that shall he added