Caterina scans animals brought to the shelter to check for microchips that will help locate their owners. There is
a 0.05 probability that a stray dog brought to the shelter will have a microchip. Let D be the number of stray
dogs Caterina scans until she finds one with a microchip. Assume the probability of each dog having a microchip
is independent.
Find the probability that the 4th dog Caterina scans will be the first to have a microchip.
You may round your answer to the nearest hundredth.
P(D = 4) =