Compute the cumulative distribution function for the life time of the sensor. What is the probability that the lifetime of the sensor exceeds 2 years?

Q: The manager of a gas station has observed that the times required by drivers to fill their car's…

A: Let X be the times required by drivers to fill their car's tank and pay, which follows the…

Q: The time between arrivals of buses at a bus stand is exponentially distributed with a mean of 20…

A: Problem can be solved using exponential distribution formula.

Q: ou are waiting in line at Dunkin. There are three people in front of you. The time it takes a person…

A:

Q: The return period of very severe sea storms resulting in structural failures in a ship is assumed to…

A: Obtain the probability that a ship will not be damaged in 20,000 hours.   The probability that a…

Q: The lifetimes of hydrants on the streets of New York described by using an exponential distribution…

A: Let X be the lifetimes of hydrants on the streets of New York.Given that  want to find the…

Q: The waiting time at a grocery checkout has an exponential distribution with mean of 9 minutes. What…

A:

Q: Microorganisms appear in the tap water of a certain region at the average rate of 1.6 microorganisms…

A: Number of microorganisms that appear on an average in 1 gallon (4 quarts)  = 1.6 Number of…

Q: The time between aircraft landing at a local airport has an exponential distribution with a mean of…

A: Let X=The time between aircraft landing at a local airport Given that X follows an exponential…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: The waiting time for a customer in line at the county recorder's office is exponentially distributed…

A: The question is about exponential distribution Introduction : If X is a continuous r.v which follows…

Q: The number of days ahead travelers purchase their airline tickets can be modeled by an exponential…

A: The question is about exponential distribution.Given :No. of days travelers wait to purchase a…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: The interval between consecutive hits at a website is assumed to follow an exponential distribution…

A: We have given thatXExp()

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

A:

Q: Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially…

A:

Q: The magnitudes of earthquakes recorded in a region of North America can be modeled by an exponential…

A:

Q: The waiting time at a railroad crossing follows an exponential distribution, with an average time of…

A:

Q: The manager of a supermarket tracked the amount of time needed for customers to be served by the…

A: From the provided information, The checkout times are exponentially distributed with a mean of 5…

Q: manager of a gas station has observed that the times required by drivers to fill their cars tank and…

A: Given  Mean=7 min  X~exp(1/7)