Question

#732. Normal Approximation of Cards Batman is close to capturing the Joker, but Joker challenges him with a card game. Joker has a deck of poker cards and he randomly chooses some cards as weapons. Know that Batman carries bullets and each bullet will take out one poker card. He knows from previous experiences that the total number of poker cards Joker has approximately follows a Normal distribution with an average of 36 and an SD of about 14 Now Batman is carrying 40 bullets. What percentage of the time does Batman have more bullets than Joker's cards? If necessary, give at least 3 decimal points in your answer. If you answer in percentage, make sure to include % in your answer. number (rtol=0.01, atol=1e-08)

Answer 1

solution:- l = 36 6=14 J Zzx.ll e PIXS 40) - Plz> 40-361 - Plas 0.29) O 0.3859) lian So, Required percentage = [ 38.591% |