SOLUTION: 13. Who’s so vain. A survey conducted by the American Association of Motor Vehicle Administrators reveals that Massachusetts motor vehicle owners are the vainest. Approximate

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Question 933928: 13. Who’s so vain. A survey conducted by the American Association of Motor Vehicle Administrators reveals that Massachusetts motor vehicle owners are the vainest.
Approximately 20% of Massachusetts license plates are vanity plates. You don’t believe it so you randomly sample 20 cars where x represents the number of cars with vanity plates.




What is the probability of exactly 5 cars have vanity plates?

What is the probability at least 3 cars have vanity plates?

What is the probability that no more than 2 cars have vanity plates?

What is the probability that half of the cars observed have vanity plates?


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(vanity plates) = .20, n = 20
.....
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(x=5) = binompdf(20, .20, 5) = .1369 0r 13.69%
...
P(x ≥ 3) = 1 - binomcdf(20, .20, 2)= .7939
...
P(x ≤ 2) = binomcdf(20, .20, 2)= .2061
...
P(x = 10) = binompdf(20, .20, 10) = .002
........
Recommend Using stattrek.com to check Results
until You are familiar with Using Your Calculator.