In: Statistics and Probability
Suppose it is known that the probability of being susceptible to contract a seasonal flu disease in a town is 0.20. A bio-statistician randomly selected 12 unrelated people from the town and examined if they are susceptible to the disease. Considering upto 4 decimal places, find the following: (a) expected number of susceptible individuals; (b) probability that 2 or fewer susceptible individuals; (c) probability that exactly 3 susceptible individuals; (d) probability that at least 4 susceptible individuals.