Question

Empirical Probability has been used to show that the probability of a flight on any commercial plane in the U.S. ended in a fatal accident is p-0.0000004. Next year, there will be approximately n-9,000,000 commercial flights in the United States. 1.) Construct a binomial probability distribution corresponding to 9,000,000 flights where x represents the number of fatal accidents that occur out of all the flights. Only x 0 to 10. Graph the distribution as a histogram and comment on the shape.

Answer 1

Use the following code in R to get the probabilities

p=NULL
for(i in 0:10)
{d=dbinom(i,9000000,.0000004)
p=c(p,d)
}
write.csv(p,"bi.csv")

I'(rx) 0 0.0273 Probability Histogram 1 0.0984 0.2500 20.1771 0.2125 4 0.1912 5 0.1377 0.2125 0.1912 0.2000 0.1377 0.1500 0.1000 0.0500 0.0273 6 0.0826 0.0984 7 0.0425 8 0.0191 90.0076 10 0.0028 0.0826 0.0425 0.0191 0.0076 0.0028 0.0000 0 10 NO. OF FATAL ACCIDENTS

The shape looks like a bell curve but skewed to the right.