4-145. + The time between arrivals of customers at an auto-matic teller machine is an exponential random variable with amean of five minutes.(a) What is the probability that more than three customersarrive in 10 minutes?(b) What is the probability that the time until the fifth customerarrives is less than 15 minutes?

A.) expected number of customer in 10 minutes =10/5 =2 therefore from Poisson distribution:…

Answered: 4-145. + The time between arrivals of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? What is the probability that the flight will be more than 10 minutes late (to 2 decimals)? What is the expected flight time, in minutes?
(Q5)/(A) If you know that 75% of the students in a college are males, and a random sample of 30 people is taken from among the students in this College, what is the probability that there are 8 females in this sample.
newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least sbx, and (c) less 44% of U.S. adults have very little confidence than four. (a) P(5) = (Round to three decimal places as needed.) (b) P(x26) = (Round to three decimal places as needed.) (c) P(x<4) = (Round to three decimal places as needed.)
Roll two fair dice. Use the Poisson approximation to find the probability that you will rollat least one double (meaning both dice land on the same value) in 24 trials. How does this compare tothe exact value? Answer as if explaining to someone.
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
29% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight. (a) P(3)= (Round to three decimal places as needed.) (b) P(x24)= (Round to three decimal places as needed.) (c) P(x < 8) = (Round to three decimal places as needed.) C
Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?
Answer last two bullet points please
how do i solve parts A and B?
Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5) =] (Round to three decimal places as needed.)

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