A claim count random variable N has a distribution that is a member of the (a, b,c) class. The probability mass function at k is denoted as Pk, and the probability generating function (pgf) is denoted as P(2). (a) Show that the pgf for the corresponding zero-modified distribution can be expressed as: P. M(z) = pm + 1 (P(z) – Po). Start with PM (z) = E[zNM), where NM denotes the number of claims for the corresponding zero-modified distribution. (b) Suppose N has a Poisson distribution with variance 1. Using the result from (a), show that the pgf for the corresponding zero-truncated Poisson distribution can be expressed as: PT(z) = enten

How will each of the following changes in demand and/or supply affect equilibrium price and equilibrium quantity in a competitive market; that is, do price and quantity increase or decrease, or are the answers indeterminate because they depend on the magnitudes of the shifts?

An object weighs 40n in air, weighs 20n when submerged in water and 30n when submerged in a liquid of unknown density. what is the density of the liquid?

In the future, people will only enjoy one sport: electrodisc. in this sport, you gain points when you cause metallic discs hovering on a field to exchange charge. you are an electrodisc player playing the popular four disc variant. the disks have charges of qa = −8.0 µc, qb = −2.0 µc, qc = +5.0 µc, and qd = +12.0 µc. (1) you bring two disks together and then separate them. you measure the resulting charge of these two disks and find that it is +5.0 µc per disk. which two disks did you bring together? (a) a and b (b) a and c (c)a and d (d)b and c(e) b and d (f) c and d. (2) you bring three disks together and then separate them. you measure the resulting charge of these three disks and find that it is +3.0 µc per disk. which three disks did you bring together? a, b, and c (a) a, b, and d (c) a, c, and d (d) b, c, and d. (3) given the resulting charge of each disk measured in (b) is +3.0 µc, how many electrons would you need to add to a disk of this charge to electrically neutralize it? electrons