The number of claims per year from a particular auto insurance policy has a Poisson distribution with a mean of 1, and probability function pk. Based on a number of years of experience, the insurer decides to change the distribution, so that the new probability of 0 claims is p0* = .5, and the new probabilities pk* for k > = 1 are proportional to the old (Poisson) probabilities according to the relationship pk* = c . pk for k > = 1. Find the mean of the new claim number distribution.

A) .79
B) .63
C) .5
D) .37
E) .21

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

what