Question

Suppose 33 airliners arrive in Denver Airport every half an hour, a random variable having a...

Suppose 33 airliners arrive in Denver Airport every half an hour, a random variable having a Poisson distribution with λ = 3. What is the probability of the waiting time of less than 5 minutes between two 33 airliners arriving at the airport?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given that a random variable denote by x

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour,...
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour, and international flights arrive according to a Poisson distribution with rate 1 per hour. What is the probability that the time between third and fourth flight arrivals is more than 15 minutes?
Every day, patients arrive at the dentist’s office. If the Poisson distribution were applied to this...
Every day, patients arrive at the dentist’s office. If the Poisson distribution were applied to this process: a.) What would be an appropriate random variable? What would be the exponential-distribution counterpart to the random variable? b.)If the random discrete variable is Poisson distributed with λ = 10 patients per hour, and the corresponding exponential distribution has x = minutes until the next arrival, identify the mean of x and determine the following: 1. P(x less than or equal to 6)...
Suppose small aircraft arrive at a certain airport according to a Poisson process with a mean...
Suppose small aircraft arrive at a certain airport according to a Poisson process with a mean rate of 8 per hour. a. Let be the waiting time until the 4th aircraft arrives. Identify the distribution of T, including any parameters, and find P(T ≤ 1) b. Let Y be the number of aircraft that arrive during a one-half hour period. Identify the distribution of Y, including any parameters, and find P(Y ≥ 3)
Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that...
Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that the number of customer arrivals X follows a Poisson distribution. Find the probability of more than 25 people arriving within the next two hours using the Poisson mass function. Find the probability of more than 25 people arriving within the next two hours using the normal approximation to the Poisson. Compute the percent relative difference between the exact probability computed in part 1 and...
Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that...
Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that the number of customer arrivals X follows a Poisson distribution. 1. Find the probability of more than 25 people arriving within the next two hours using the Poisson mass function. 2. Find the probability of more than 25 people arriving within the next two hours using the normal approximation to the Poisson. 3. Compute the percent relative difference between the exact probability computed in...
The time between successive arrivals of calls to emergency service is random variable which follows exponential...
The time between successive arrivals of calls to emergency service is random variable which follows exponential distribution. It was observed that on average calls arrive to emergency service every four minutes (1 / λ = 4min) and average number of calls in one minute is λ = 0.25 calls/ 1 min The probability that the time between successive calls is less than 2 minutes is ______ A call just arrived to emergency service. The probability that next call will arrive...
The amount of time that a customer spends waiting at an airport check-in counter is a...
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.1 minutes and standard deviation 1.6 minutes. Suppose that a random sample of n=50 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g. 0.9876).
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α...
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t. (Round your answers to three decimal places.) (a) What is the probability that exactly 5 small aircraft arrive during a 1-hour period? What is the probability that at least 5 small aircraft arrive during a 1-hour period? What...
At an urgent care facility, patients arrive at an average rate of one patient every five...
At an urgent care facility, patients arrive at an average rate of one patient every five minutes. Assume that the duration between arrivals is exponentially distributed. (Round your answers to four decimal places.) a. Find the probability that the time between two successive visits to the urgent care facility is less than four minutes. b. Find the probability that the time between two successive visits to the urgent care facility is more than 16 minutes. c. If 10 minutes have...
The exponential distribution is frequently applied to the waiting times between successes in a Poisson process....
The exponential distribution is frequently applied to the waiting times between successes in a Poisson process. If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter λ = 6, we know that the time, in hours, between successive calls has an exponential distribution with parameter β =1/6. What is the probability of waiting more than 15 minutes between any two successive calls?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT