$3.$ Sweetwater & Associates write weekend trip insurance at a very nominal charge.Records show that the probability that a motorist will have an accident during theweekend and file a claim is $0\mathrm{.}0020.$ Suppose they wrote $400$ policies for the comingweekend and followed Poisson distribution, what is the probability that exactly twoclaims will be filed? $(25$ marks$)0\mathrm{.}10\mathrm{.}20\mathrm{.}30\mathrm{.}70\mathrm{.}40\mathrm{.}50\mathrm{.}60\mathrm{.}80\mathrm{.}9$x$00\mathrm{.}90480\mathrm{.}81870\mathrm{.}74080\mathrm{.}67030\mathrm{.}60650\mathrm{.}54880\mathrm{.}49660\mathrm{.}44930\mathrm{.}40660\mathrm{.}09050\mathrm{.}16370\mathrm{.}22220\mathrm{.}26810\mathrm{.}30330\mathrm{.}32930\mathrm{.}34760\mathrm{.}35950\mathrm{.}365920\mathrm{.}00450\mathrm{.}01640\mathrm{.}03330\mathrm{.}05360\mathrm{.}07580\mathrm{.}12170\mathrm{.}14380\mathrm{.}16478860030\mathrm{.}00020\mathrm{.}00110\mathrm{.}00330\mathrm{.}00720\mathrm{.}01260\mathrm{.}01980\mathrm{.}02840\mathrm{.}03830\mathrm{.}04940\mathrm{.}00000\mathrm{.}00010\mathrm{.}00030\mathrm{.}00070\mathrm{.}00160\mathrm{.}00300\mathrm{.}00500\mathrm{.}00770\mathrm{.}011150\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00010\mathrm{.}00020\mathrm{.}00040\mathrm{.}00070\mathrm{.}00120\mathrm{.}002060\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00010\mathrm{.}00020\mathrm{.}000370\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}00000\mathrm{.}000000000$