b) The life expectancy of the radioactive isotopes is exponentially distributedwith a mean 3 years.i)What is the probability that the radioactive elements will last at least15 years?ii)If the radioactive isotopes already lasted for 5-years, what is theprobability it will be lasted after an additional 20 years?

Answered: Image /qna-images/answer/83e3be12-8095-4c2a-b249-40ba71e4bc01.jpg

Answered: b) The life expectancy of the…

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...

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Extralite are testing a new long-life bulb. The lifetimes, in hours, are assumed to be normally dis- tributed with mean u = 4650 and o = 400 (Round your answers to 4 decimal places): (a) Find the probability that a bulb chosen at random has a lifetime between 4250 and 4750 hours. (a). (b) Extralite wish to quote a lifetime which will be exceeded by 99% of bulbs. What time, correct to the nearest 100 hours, should they quote? (b)
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The lifetime (in hours ) of a semiconductor laser has a lognormal distribution with theta = 10 and omega = 1.5 Determine the following in parts (a) and (b): a) Probability the lifetime is less than 1000 hours ? b) Probability the lifetime is less than 11000 hours given that it is more than 10000 hours?
According to the famous law of large numbers, the empirical a very large number of times. probability approaches the probabilit
We know that the wait time for talking to a customer service staff on the phone is modelled after an exponential distribution. If the expected wait time is 10 min, what is the probability that a customer needs to wait over 10 min?
The expected life of a certain component in a mechanism is treated as a random variable having a gamma distribution with a = 3 and ß = 2. The average expected life of such component is 12 months, what is the probability that this component can have a greater than average expected life?
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 10 minutes. (a) Find the probability that the time interval between two successive barges is more than 15 minutes. (b) Find a time interval t such that we can be 75% sure that the time interval between two successive barges will be greater than t. Show word count Next
Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?
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From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?

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