Question
In: Statistics and Probability
A cell phone supplier claims that the operating time before failure of its devices (denoted X...
A cell phone supplier claims that the operating time before failure of its devices (denoted X and expressed in years) follows an exponential law of theta parameter. We know that 60% of devices operate without failure for at least 2 years.
a) What is the average lifespan of the devices?
b) What is the time t such that 50% of the devices operate less than t years?
c) If you have had a device from this manufacturer for 2 years, what is the probability that it will still work at least 3 more years?
Solutions
Expert Solution
Answer:
Given that:
A cell phone supplier claims that the operating time before failure of its devices (denoted X and expressed in years) follows an exponential law of theta parameter. We know that 60% of devices operate without failure for at least 2 years.
a) What is the average lifespan of the devices?
Average life span = 
b) What is the time t such that 50% of the devices operate less than t years?
c) If you have had a device from this manufacturer for 2 years, what is the probability that it will still work at least 3 more years?
orchestra answered 1 year agoRelated Solutions
A cell phone manufacturer claims that the batteries in its latest model provide 20 hours of...
A cell phone manufacturer claims that the batteries in its
latest model provide 20 hours of continuous use. In order to verify
this claim, and independent testing firm checks the battery life of
100 phones. They find that the batteries in these 100 phones last
an average of 19 hours with a standard deviation of 5 hours.
Conduct an appropriate hypothesis test to check whether the results
from this sample provide sufficient evidence that the true mean
battery life is...
A cell phone manufacturer claims that the population mean battery life of its flagship smartphone model,...
A cell phone manufacturer claims that the population mean
battery life of its flagship smartphone model, the Black Bear, is
greater than the population mean battery life of the largest
competitor, the Grizzly. A consumer advocacy publication tests this
claim by purchasing a random sample of Black Bear smartphones and a
random sample of Grizzly smartphones. Members of the publication
charged each smartphone to full capacity and then had the
smartphones play back the same videos until the batteries were...
A company that produces cell phones claims its standard phone battery lasts longer on average than...
A company that produces cell phones claims its standard phone
battery lasts longer on average than other batteries in the market.
To support this claim, the company publishes an ad reporting the
results of a recent experiment showing that under normal
usage,their batteries last at least 35 hours. To investigate this
claim, a consumer advocacy group asked the company for the raw
data. The company sends the group the following results: 35, 34,
32, 31, 34, 34, 32, 33, 35,...
A. A cell phone company offers two plans to its subscribers. At the time new subscribers...
A.
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 45
subscribers to Plan A is $45,200 with a standard deviation of
$7,900. For a sample of 35 subscribers to Plan B, the mean income
is $57,500 with a standard deviation of $6,400.
At the 0.1 significance level, is it reasonable to conclude the
mean income...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 40
subscribers to Plan A is $47,200 with a standard deviation of
$9,200. For a sample of 30 subscribers to Plan B, the mean income
is $51,500 with a standard deviation of $7,100. At the .01
significance level, is it reasonable to conclude the mean income of...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 45
subscribers to Plan A is $55,400 with a standard deviation of
$9,100. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 41 subscribers to Plan B,
the mean income is $57,600 with a standard deviation of $9,700.
At the...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 41
subscribers to Plan A is $55,400 with a standard deviation of
$8,200. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 35 subscribers to Plan B,
the mean income is $57,000 with a standard deviation of $9,600.
At the...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of
36 subscribers to Plan A is
$57,400 with a standard deviation of
$9,400. This distribution is positively skewed;
the coefficient of skewness is not larger. For a sample of
42 subscribers to Plan B, the
mean income is $57,900 with a standard deviation
of $9,200.
At the...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 37
subscribers to Plan A is $50,600 with a standard deviation of
$9,200. For a sample of 30 subscribers to Plan B, the mean income
is $52,400 with a standard deviation of $7,100.
At the 0.025 significance level, is it reasonable to conclude
the mean income of...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 42
subscribers to Plan A is $55,500 with a standard deviation of
$8,500. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 40 subscribers to Plan B,
the mean income is $56,800 with a standard deviation of $8,700.
At the...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Need the correct line of code for c program to solve this equation . i is a...
- In this unit, we learned about Erikson’s sixth psychosocial stage, intimacy versus isolation. Erikson said that...
- Create a form in which the user enters two separate numbers (x and y), and when...
- What are the arguments that agree (i.e., support), and disagree (i.e., against) with the 2010 U.S....
- How would I write a C++ code that gives me the following out put: Enter...
- The program prompts a user for the number of contestants entered in this year’s and last...
- Investors expect the following series of dividends from a particular common stock: Year 1 $0.95 Year...
ADVERTISEMENT