The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 7.5 minutes. What is the probability that a car can complete the transaction in less than 5 minutes?

The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 7.5 minutes. What is the probability that a car can complete the transaction in less than 5 minutes?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: What is the probability that the monthly demand is within one standard deviation of its expected…

A: According to the question: A company analyzed demand data for the past two years and found that…

Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: The probability that a patient with hypertension may have negative side effects from a particular…

Q: If there is a chance of rain of 10% on any day, how do I find the chance that it rains on Saturday…

A: P(A or B) means P(A∩B)P(A & B) means P(A∪B)P(A∩B)=P(A)+P(B)-P(A∪B)

Q: An electronic component is known to have a useful life which follows a probability distribution with…

A: A Poisson distribution is a counting distribution; it counts the random number of failures occurring…

Q: 5. what is an A probability function using two coefficients, a and b, whose sum equals 1 and whose…

A: The probability function is defined as the function of the observed values of a random variable…

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

Q: Suppose that the return for a particular investment is normally distributed with a population mean…

A: Solution-: Given: μ=100,σ=15 We want to find what score must a person have to qualify for this…

Q: Find the probability that the average weekly unemployment benefit of a random sample of 15 benefits…

Q: Flaws in a sheet of paper tend to occur randomly and independently at a rate of one every 160 square…

Q: When a defective coin is tossed, there is a 55% chance that tails will show up. Find: (a) the…

Q: Suppose a county's recent health report gives a pet allergy prevalence of 0.16 for kids. There is a…

A: Form the tree diagram, P(pet allergy status)=0.16Ppet allergy but test Negative=0.15P(No pet allergy…

Q: An insurer writes a large book of home warranty policies. You are given the following information…

Q: The time between calls to a plumbing supply business is exponentially distributed with a mean time…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: The lifetime, in years, of a certain type of electrical switch has an exponential distribution with…

Question

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

6. A vaccine takes on average 4 years to develop, the time to development is distributed exponentially. What is the probability that no vaccine will be developed against a certain disease in half a year if currently 10 vaccines against it are in development?
help me with solutions
suppose that on-the-job injuries in a textile mill occur at the rate of 0.1 per day. A, what is the probability that two accidents will occur during the next (five-day) work week? B, in the probability that four accidents will occur over the next two work weeks, the square of your answer to part (a) explain?
It has rained for 18 days out of the last 30. Using this information, what is the likelihood that it will rain tomorrow?
The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
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?
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last between three (3) and five (5) years.