Sunday, January 24, 2010

Car Accident Calculator Statistics Help, Please?

Statistics help, please? - car accident calculator

I am a student test statistics and had problems to find out how to solve these problems. There will be no similar problems in the exam, I need to know how to solve them. (I have a TI-83 Plus, if you) have to solve the problem is I am not looking for answers, how to pray. Thank you very much.

1) According to the U.S. Department of Justice, 5% of households have at least one robbery last year. In 15 families at random, what is the probability that less than 3 of them had at least one robbery in the past year?

2) The insurance Skyler is working for a company car. His records showed that 8% of all drivers were involved in a car accident last year. If 12 drivers are selected at random, calculating the standard deviation for this situation.

1 comments:

Blah said...

These are the problems of the binomial distribution.

1) Use the binomial theorem (n = 15, p = 0.05, q = 1, p = 0.95), to steal the probability of 0 robbery, burglary, 1 p.m. to 2 a.m., calculate and add together all the probabilities. Or use a table of cumulative binomial distribution. I do not know what the capacity of the computer.

2) The standard deviation (not the percentage of events is the number of occurrences):
s = sqrt (pq / n), if:
p is the probability of success (0.08)
Q is the probability of failure = 1-p (0.92)
n is the sample size
So:
s = sqrt (0.08 * 0.92/12) = sqrt (0.0061333 ...) = 0.0783

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