Problem 7.7 (large population sampling). We know that 5% of the people in a certain population have a virus. Suppose that I draw a random sample of 100 individuals: the population is so large (in the order of millions) so that, even though I perform the sampling without replacement, my samples may be considered independent of one another (that is, (i) the first and second individuals having the virus are independent events, and (ii) regardless of the first individual, the probability of picking another individual with the virus is still 5%). Let N be the random variable describing the number of individuals, in my sample, with the virus. (a) What is the probability distribution of N