Math

StatisticsQ&A LibraryFlying 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*.

(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.)

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.)

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: On a test, 95% of the questions are answered correctly. If 57 questions are correct, how many quest...

A: The aim is to find the number of questions on the test.Here, the number of question answered correct...

Q: 2.) Two distinct fair dice are rolled at the same time and the number of dots appearing on both are ...

A: Probability that the sum is 3It is possible only in following combinations:Dice one has 1 dice and d...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: It is provided that and the moment generating function (MGF) is,

Q: It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a ...

A: Confidence interval:The (1-α) % confidence interval for proportion p is given by,

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

Q: The standard treatment for a disease works in 0.65 of all patients. A new treatment is patients (of ...

A: (a)The provided details are:

Q: Need (b) and (c) Let X denote the data transfer time (ms) in a grid computing system (the time requi...

A: (a)Finding the values of α and β :The random variable X represents the data transfer time in a grid ...

Q: the NHANES-Ill survey, the inçidence of urinary tract infections in adult women is 13,320 n per year...

A: Given incidence of urinary tract infections = 13.32%Nitride test for urinary tract infections sensit...

Q: What percentage of hospitals provide at least some charity care? Based on a random sample of hospita...

A: Finding the mean and standard deviation of the variable X.Mean:The general formula to obtain the mea...