11. The distributional pattern of pulmonate slugs inhabiting Libya was studied in the AIUB Journal of Science and Engineering. The number of slugs of a certain species found in the survey area was modeled using the negative binomial distribution. Assume that the probability of observing a slug of a certain species (say, Milag rusticus) in the survey area is $0.2 . $ Let $y$ represent the number of slugs that must be collected in order to obtain a sample of 10 Mitax rusticus slugs. a. Give the probability distribution for $y$ as a formula. b. What is the expected value of $Y$ ? Interpret this value. C. find $Y=25$ SP.AS. 1173