6.46 The life of a street bulb follows an exponentialdistribution, with an average life ß = 3 years. Thebulbs are replaced whenever they fail. Out of the 1000street bulbs installed in a city, what is the probabil-ity that at most 250 of them will need to be replacedduring the first year?

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Answered: 6.46 The life of a street bulb follows…

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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Consider a tack like the one pictured below. When dropped on a table, the tack can land either point down or point up. Suppose we assume that P(tack lands point down) = 0.40. Which of the following must be true? (A) If the tack is dropped 50 times and lands point down only 10 times, then it must land point down more than 40% of the time in the next 50 drops. (B) If the tack is dropped on a table 10 times, it will land point down 4 times. (C) If the tack is dropped on a table 1,000,000 times, it will land point down 400,000 times. (D) Over many tack drops, the proportion that land point down will be very close to 0.40. (E) The tack landed point down twice in a simple random sample of 5 people who dropped it on a table.
11. fast please The life (years), of a battery is approximately exponentially distributed with decay parameter of 0.2. Suppose this type of battery has a warranty period of 4 years. What is the probability that the battery will need to be replaced within the warranty period? Group of answer choices 0.5507 0.2621 0.8413 0.4493
2. You are to wait for the first car to arrive at an inspection station. It is believed that the waittime (in minutes) follows an Exponential distribution with parameter ✓ = 10 minutes. a. You are to wait for 10 independent cars to arrive (cars arrive one by one to the station, thinkof X i as the time for the i-th car). How long do you expect to wait to complete this task? Howmuch do you expect the true wait time to vary around the expected time?
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There are currently 64 million cars in a certain country, increasing exponentially by 2.8% annually. How many years will it take for this country to have 85 million cars? Round to the nearest year. O A. 109 yr О В. 10 уг ОС. 8 уг O D. 4 yr Hacmer y te al a the flunk x)3 DELL

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6.46 The life of a street bulb follows an exponential distribution, with an average life ß = 3 years. The bulbs are replaced whenever they fail. Out of the 1000 street bulbs installed in a city, what is the probabil- ity that at most 250 of them will need to be replaced during the first year?