Q. It was thought that at a particular point in time 15% of therabbit population in a region was infected by RHDV1-K5 virus. Atthe time a researcher trapped 25 rabbits from this region and hadeach tested to see if it carries virus. The number of rabbits inthis sample with the virus is denoted byV.
a) Write down the possible values ofV.
b) State a suitable distribution for Vand provide the parameter(s) for the distribution.
c) Determine the Expected value of V and interpret this value incontext to the research.
d) USe and show manual calculation to determine the probabilitythat at least 2 rabbits have the virus.
e) It transpired that 20 of the rabbit did in fact carry thevirus. Use R commander to determine the probability that 20 or morerabbit will have the virus.
f) Considering your answer to part e), say if this casts doubton the original understanding of the prevalence of the virus inthis region at that point in time. Give briefexplanation.
