Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.1 accidents per 100,000 flight operations. (a) Let r = number of accidents for a given number of operations. Explain why the Poisson distribution would be a good choice for the probability distribution of r. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent.  Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. (b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.) (c) Find the probability of at least 6 accidents in 200,000 flight operations. (Use 4 decimal places.)

Question

Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.1 accidents per 100,000 flight operations.

(a) Let r = number of accidents for a given number of operations. Explain why the Poisson distribution would be a good choice for the probability distribution of r.
Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent. 
Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent.
Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent.


(b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.)
 

(c) Find the probability of at least 6 accidents in 200,000 flight operations. (Use 4 decimal places.)

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you

Q: A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime...

A: Test statistic calculation:In this context, a police officer claimed that the proportion of accident...

Q: Could you help me with these questions in regaurds to the table provided? (2) Calculate covariance b...

A: Click to see the answer

Q: Suppose that we have the data {x1, x2, ..., xn} such that x1=x2=...=xn=3. What is the mean of the da...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Please answer the whole question  (2) Let x be the age of a licensed driver in years. Let y be the p...

A: (a) Scatter diagram of the data:The scatter diagram for the given data that is obtained using EXCEL ...

Q: Suppose that young adults own an average of three pairs of jeans. Survey eight people from your clas...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: 2. Previously, you studied linear combinations of independent random variables. What happens if the ...

A: Consider the provided information:μx ≈ 7.34,      σx ≈ 6.55,      μy ≈ 13.19,      σy ≈ 18.57,      ...

Q: Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advan...

A: The provided information are:

Q: Deborah wants to estimate the percentage of people who eat fast food at least once per week. She wan...

A: Margin of error is usually computed using the formula below.  In this question, Margin of error is k...

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...

A: In this question, there is total 32 songs collection out of which 11 songs by Frank Sinatra, 13 song...