Question
In: Statistics and Probability
Suppose the life time of a certain brand of light bulbs is exponentially distributed with an...
Suppose the life time of a certain brand of light bulbs is
exponentially distributed with an average of 1000 hours.
a. What’s the probability that a new light bulb won’t be able
to reach this amount of time?
b. What’s the probability that a new light bulb will have a
life between 1000 and 2000 hours?
c. Given that a light bulb has been working for 1000 hours,
what’s the probability that it can work for another 2000 hours or
more?
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally distributed,...
Suppose that the life expectancy of a certain brand of
nondefective light bulbs is normally distributed, with a mean life
of 1100 hr and a standard deviation of 50 hr.
If 70,000 of these bulbs are produced, how many can be expected
to last at least 1100 hr?
The number of light bulbs that can be expected to last at least
1100 hr is ______.
The life expectancy of a brand of light bulbs is normally distributed with a mean of...
The life expectancy of a brand of light bulbs is normally
distributed with a mean of 1500 hours and a standard deviation of
75 hours. A. What is the probability that a bulb will last between
1500 and 1650 hours. The life expectancy of a brand of light bulbs
is normally distributed with a mean of 1500 hours and a standard
deviation of 75 hours. A. What is the probability that a bulb will
last between 1500 and 1650 hours....
The lives of certain extra-life light bulbs are normally distributed with a mean equal to 1350...
The lives of certain extra-life light bulbs are normally
distributed with a mean equal to 1350 hours and a standard
deviation equal to 18 hours. 1. What percentage of bulbs will have
a life between 1350 and 1377 hr? 2. What percentage of bulbs will
have a life between 1341 and 1350 hr? 3. What percentage of bulbs
will have a life between 1338 and 1365 hr? 4. What percentage of
bulbs will have a life between 1365 and 1377...
Suppose that a certain brand of light bulb has a mean life of 450 hours and...
Suppose that a certain brand of light bulb has a mean life of
450 hours and a standard deviation of 73 hours. Assuming the data
are bell-shaped: (Show work to get full credit)
a. Would it be unusual for a light bulb to have a life span of
320 hours? 615 hours? Justify each response.
b. According to the Empirical Rule, 99.7% of the light bulbs
have a lifetime between what two values?
c. Determine the percentage of light bulbs...
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20...
The life of light bulbs is distributed normally. The standard
deviation of the lifetime is 20 hours and the mean lifetime of a
bulb is 590 hours. Find the probability of a bulb lasting for at
most 626 hours. Round your answer to four decimal places.
Please do not answer with the incorrect answer!!!!! The life of light bulbs is distributed normally....
Please do not answer with the incorrect
answer!!!!!
The life of light bulbs is distributed normally. The variance of
the lifetime is 900 and the mean lifetime of a bulb is 580 hours.
Find the probability of a bulb lasting for at most 613 hours. Round
your answer to four decimal places.
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 60 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts less than 46 hours? (a)...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56...
Suppose that the lifetimes of light bulbs are approximately
normally distributed, with a mean of 56 hours and a standard
deviation of 3.3 hours. With this information, answer the
following questions.
(a) What proportion of light bulbs will last more than
61hours?
(b) What proportion of light bulbs will last 51 hours or
less?
(c) What proportion of light bulbs will last between 57 and 62
hours?
(d) What is the probability that a randomly selected light bulb
lasts less...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately
normally distributed, with a mean of 57 hours and a standard
deviation of 3.5 hours. With this information, answer the
following questions. (a) What proportion of light bulbs will last
more than 60 hours? (b) What proportion of light bulbs will last
50 hours or less? (c) What proportion of light bulbs will last
between 57 and 61 hours? (d) What is the probability that a
randomly selected light bulb lasts...
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately
normally distributed, with a mean of 57 hours and a standard
deviation of 3.5 hours. With this information, answer the
following questions. (a) What proportion of light bulbs will last
more than 62 hours? (b) What proportion of light bulbs will last
52 hours or less? (c) What proportion of light bulbs will last
between 57 and 61 hours? (d) What is the probability that a
randomly selected light bulb lasts...
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