Discuss the following:
Q1. Infectious disease question:
Evaluate the probabilities of obtaining k neutrophils out of 5 cells for k=0,1,2,3,4,5 where the probability that any one cell is a neutrophil is 0.6. Find the expected number and standard deviation of neutrophils of the 5 cells.
Q2. Pulmonary disease question:
Compute the probability of obtaining exactly 7 cases of chronic bronchitis and the probability of obtaining at least 7 cases of chronic bronchitis in the first year among 10 families, where both parents have chronic bronchitis, if the underlying incidence rate of chronic bronchitis in the first year of life is 0.05.
Q3. Use normal approximation to Binomial distribution, to compute the probability of at least 75 cases of chronic bronchitis in the first year among 1500 families for the pulmonary disease.