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

i think it would be 5

the design of a ski jumping suit involves a trade-off between giving the skiers lift to get higher jumps and ensuring the skier does not face a lot of drag before the jump itself. an expansive suit may to lift the skier higher, but at the same time, it will also increase the air resistance. higher air resistance as the skier goes down the slope limits the speed of the jump. a big suit also increases the risk of losing balance or control, especially if there's a strong gust of wind. while technologically enhanced suits a lot, clothing is not the only factor in a ski jumper’s success. gathering speed while skiing down the slope, ensuring good speed on the ramp, and maintaining good body posture and form in the air all contribute to a ski jumper's success.

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation