SOLUTION: When placed in a maze, a mouse has a 35% chance of finding the cheese at the end of the maze. What is the probability of the mouse finding the cheese? a) in three consecutive atte

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Question 1178349: When placed in a maze, a mouse has a 35% chance of finding the cheese at the end of the maze. What is the probability of the mouse finding the cheese?
a) in three consecutive attempts?
b) in three of four attempts?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:  p(cheese) = ".35"   and q = .65
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
a) n = "3" 
P(x = 3) = binompdf(3, .35, 3) = .0429
b) n = "4"
P(x = 3) = binompdf(4,.35,3) = .1115
0r
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 
a) P+%28x=3%29=+highlight_green%283C3%29%28p%5E3%29%28q%29%5E0+ = (.35)^3 = .0429
b) P+%28x=3%29=+highlight_green%284C3%29%28p%5E3%29%28q%29%5E1+ = 4(.35)^3(.65)^1 = .1115
Wish You the Best in your Studies.