Q7) The length of time, in seconds, that a computer user takes to read his or her e-mail is distributed as lognormal random variable with μ = 1.8 and o² = 4.(a)(b)What is the probability that a user reads e-mail for more than 20 seconds?More than a minute?What is the probability that a user reads e-mail for a length of time thatis equal to the mean of the underlying lognormal distribution?

Answered: Q7) The length of time, in seconds,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 21 minutes, what is the probability that X is less than 28 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
The time between ambulance arrivals at the Methodist Hospital emergency room follows an exponential distribution with a mean of 10 minutes. (a) What is the likelihood the next ambulance will arrive in 15 minutes or less? (b) What is the likelihood the next ambulance will arrive in more than 25 minutes? (c) What is the likelihood the next ambulance will arrive in more than 15 minutes but less than 25? (d) Find the 80th percentile for the time between ambulance arrivals. (This means only 20% of the runs are longer than this time.)
The lifetime of a supercapacitor manufactured by ELEMENT45 is exponentially distributed with mean lifetime of 1,000 hours. (b) (ii) If it is known that the supercapacitor has been working 950 hours, what is the probability that it will be working at least 1100 hours?
None
The lifetime (in years) of a specific helicopter part follows an exponential distribution whoseexpectation is 4 years.(a) What is the probability that one of these parts will stay operational for more than 4.4 years?(b) What is the probability that one of these parts will stay operational between 2.5 and 4 years.
Help me with this please, thanks :)
A bakery is staffed by two clerks, each of them capable of handling an average of 30 customers an hour, with the actual service times exponentially distributed.Customers arrive at the bakery according to a possion process, at a mean rate of 40 per hour. Determine (a) the fraction of time a given clerk is idle , and (b) the probability that there are more than two customers awaiting service at any given time.
The lifetime of a supercapacitor manufactured by ELEMENT45 is exponentially distributed with mean lifetime of 1,000 hours. (b) (i) Find the probability that the supercapacitor component is still working at least 1,200 hours.
A toy factory produces battery operated toy robots for toddlers. Previous research shows that the lifetimes of these robots are Exponentially distributed with mean 6 months on regular use. A retailer buys 15 of these robots to sell. What is the probability that exactly 5 of these robots will last at least 8 months?
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 16 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose you have already been waiting for one hour for a taxi, what is the probability that one arrives within the next 10 minutes? Round your answers to 4 decimal places. (a) i (b) i
It is known that the average lifetime of a central processing unit (CPU) of a server is eight years and shows an exponential distribution. What is the probability that the company that leases the server for five years will encounter a central processing unit (CPU) failure within the lifetime? a)0.465 b)0.395 c)0.535 d)0.606 e)no one
3 Historical evidence indicates that times between fatal accidents on scheduled American domestic passenger flights have an approximately exponential distribution. Assume that the mean time between accidents is 44 days. (a) If one of the accidents occurred at 12:00 am on August 1 of a randomly selected year in the study period, what is the probability that another accident occurred that same month? (Round your answer to four decimal places.) (b) What is the variance of the times between accidents?

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