The lifetime of lightbulbs that are advertised tolast for 3500 hours are normally distributed witha mean of 3700 hours and a standard deviationof 150 hours. What is the probability that a bulblasts longer than the advertised figure?Probability =

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Answered: The lifetime of lightbulbs that are…

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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Concentrations of pollutants produced by chemical plants historically are known to exhibit behavior that resembles a lognormal distribution. This is important when one considers issues regarding compliance with government regulations. Suppose it is assumed that the concentration of a certain pollutant, in parts per million, has a lognormal distribution with parameters mean = 3.2 and std. dev. = 1. What is the probability that the concentration exceeds 7.5 parts per million?
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 275 minutes and a standard deviation of 50 minutes. What is the probability that a battery lasts more than four hours? (Round the answer to 3 decimal places.)
A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts between 60,500 to 69,500 miles.
annual precipitation amounts in a certain mountain range are normally distributed with a mean of 82 inches, and a standard deviation of 9 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 85.2 inches?
The average age of AMA employees is 34 years old. Assume the data is normally distributed. If the standard deviation is 3 years, find the probability that the age of a randomly selected AMA employees will be in the range between 25 and 40 years old.
The lengths of pregnancies of humans are normally distributed with a mean of 265 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 240 days.
If a golfer hit drives a golf ball with a mean of 180 yards and a standard deviation of 20 yards, what is the probability he reaches 300 yards on an attempt? Assume an approximately normal curve.
Resting body temperatures are normally distributed with an average of 98.25 degrees Fahrenheit and a standard deviation of 0.73 degrees Fahrenheit. What is the probability a random patient examined by a nurse will have a body temperature greater than 99 degrees Fahrenheit? (Round to the hundredths)
The lifespan of lizards in a particular zoo are normally distributed. The average lizardlives 3.1 years; the standard deviation is 0.6 years. Estimate the probability of a lizardliving less than 2.5 years.
Body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard deviation of 0.70 Fahrenheit. What is the probability of a healthy adult having a body temperature that differs from the population mean by more than 1 Fahrenheit?
The number of customers at a coffee shop per day follows a normal distribution with a mean of 3,500 customers per day and a standard deviation of 250. What is the probability that the coffee shop will serve more than 4,000 customers on any given day?
The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.45 micrometer and a standard deviation of 0.05 micrometer. What is the probability that a line width is between 0.47 and 0.63 micrometer?

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The lifetime of lightbulbs that are advertised to last for 3500 hours are normally distributed with a mean of 3700 hours and a standard deviation of 150 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =