A batch of bulbs have a mean life of 1000 hours. Only one bulb is used at a time, and after each bulb burns, it is replaced by another. What is the probability that two consecutive bulbs will last more than 3000 hours?

A batch of bulbs have a mean life of 1000 hours. Only one bulb is used at a time, and after each bulb burns, it is replaced by another. What is the probability that two consecutive bulbs will last more than 3000 hours?

Name: A batch of bulbs have a mean life of 1000 hours. Only one bulb is use
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A batch of bulbs have a mean life of 1000 hours. Only one bulb is used at a time,and after each bulb burns, it is replaced by another. What is the probability thattwo consecutive bulbs will last more than 3000 hours?

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

Similar questions

A certain disease has an incidence rate of 0.8%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
At a certain bank the amount of time that a customer spends being served by a teller is exponential with mean of 3 minutes. Find the probability that a cusotmer needs at least 5 minutes of service from a teller.
Flaws in a carpet tend to occur randomly and independently at a rate of one every 300 square feet. What is the probability that a carpet that is 9 feet by 12 feet contains no flaws?
Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4 times as many men as women. A person is chosen at random from the population and is known to have night- blindness. What is the probability that this person chosen is a woman? Do not include a % sign when reporting your answer. Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within ¹2%.
A drug test correctly gives a positive result 88 percent of the time. However, 3 percent of the time, it incorrectly gives a positive result. This is known as a false positive. Suppose that 5 percent of the people to be tested will have one or more of the drugs being tested for in their system. What is the probability that a randomly chosen person will have get a positive test result? Your answer should be to 4 decimal places.
the probability of passing the course without studying is 0.2 if we assume that the given probability is constant in each semester, then how many times in an average the student should take the course to pass without studying
A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.
Forty-two percent of runaways in the United Stated are male. If 20 runaways are selected at random, find the probability that exactly 12 are male. Answer in 4 decimal places.
The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 58 minutes. What is the probability that a randomly selected spouse spends no more than 20 minutes shopping for an anniversary card?
A professor sees students during regular office hours. Time spent with students follows an exponential dis- tribution with a mean of 10 minutes. Find the probability that a given student spends fewer than 20 minutes with the professor. Find the probability that a given student spends more than 5 minutes with the professor. Find the probability that a given student spends between 10 and 15 minutes with the professor.
The probability that a certain type of sea turtle hatching survives until adulthood is assumed to be 1 out of 1,877. If 980 hatchlings incubate in a certain nesting area, calculate the probability that at least 3 survive to adulthood. Use three decimal place accuracy.