SOLUTION: The highway patrol estimates that 60% of drivers on I-44 are within the speed limit. If 23 cars are clocked on I-44, estimate the probability that exactly 17 are within the speed l

Algebra ->  Probability-and-statistics -> SOLUTION: The highway patrol estimates that 60% of drivers on I-44 are within the speed limit. If 23 cars are clocked on I-44, estimate the probability that exactly 17 are within the speed l      Log On


   

Question 251232: The highway patrol estimates that 60% of drivers on I-44 are within the speed limit. If 23 cars are clocked on I-44, estimate the probability that exactly 17 are within the speed limit.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let w=number within the limit and s=number of speeders.
(w+s)^2 We need the term w^17s^6
Combination: nCr = 23C17 = 100947 the coefficient of w^17s^6
w=.60 s=.40
100947*.6^17*.4^6
=.070 the probability that exactly 17 are within the speed limit.
.
Ed