Question
In: Statistics and Probability
Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours is...
Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours is a good model for rainfall duration.
(a)
What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.)
at least 2 hoursat most 3 hoursbetween 2 and 3 hours
(b)
What is the probability that rainfall duration exceeds the mean value by more than 3 standard deviations? (Round your answer to four decimal places.)
What is the probability that it is less than the mean value by more than one standard deviation?
Solutions
orchestra answered 2 years agoRelated Solutions
Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours is...
Data collected at an airport suggests that an exponential
distribution with mean value 2.815 hours is a good model for
rainfall duration.
(a)
What is the probability that the duration of a particular
rainfall event at this location is at least 2 hours?
At most 3 hours?
Between 2 and 3 hours?
(Round your answers to four decimal places.)
at least 2 hours
at most 3 hours
between 2 and 3 hours
(b)
What is the probability that rainfall duration...
The number of hours a battery lasts before failing follows an exponential distribution with a mean...
The number of hours a battery lasts before failing follows an
exponential distribution with a mean of μ = 24.5 hours and a
standard deviation of 10 hours. Eric buys a pack of 64 batteries.
Find the probability that the average number of hours a battery
lasts is 21 hours or less.
a. 0.0026
b. 0.9974
c. 0.3632
d. -2.80
Solve the problem and show all your work below. Draw appropriate
pictures!
the lifetime of a certain battery has an unknown distribution with mean value 8 hours and...
the
lifetime of a certain battery has an unknown distribution with mean
value 8 hours and a standard deviation of 2 hours. what is the
probability that the average battery lifetime of a sample of 36
batteries will be greater than 8.1 hours?
I know by the CLT that at 36 trials the sample mean will
follow a normal distribution but i cant remember how to calculate
the variance of this distribution nor do i know where to go from...
The lifetime of a certain type of batteries follows an exponential distribution with the mean of...
The lifetime of a certain type of batteries follows an
exponential distribution with the mean of 12 hours.
a) What is the probability that a battery will last more than 14
hours? (Answer: 0.3114)
b) Once a battery is depleted, it is replaced with a new battery
of the same type. Assumingindependence between lifetimes of
batteries, what is the probability that exactly 2 batteries will be
depleted within 20 hours? (Answer: 0.2623)
c) What is the probability that it takes...
The number of airplane landings at a small airport follows a Poisson distribution with a mean...
The number of airplane landings at a small airport
follows a Poisson distribution with a mean rate of 3 landings every
hour.
4.1 (6%)
Compute the probability that 3 airplanes arrive in a
given hour?
4.2 (7%)
What is the probability that 8 airplanes arrive in three
hours?
4.3 (7%)
What is the probability that more than 3 airplanes
arrive in a period of two hours?
A TV system is expected to last for 50000 hours before failure. Assume an exponential distribution...
A TV system is expected to last for 50000 hours before failure.
Assume an exponential distribution for the time until failure.
a) is the distribution skewed or symmetric?
b) what is the standard deviation of the length of time until
failure?
c) the system has been working continuously for the past 8500
hours and is still on. What is the expected time from now until
failure?
The distance between major cracks in a highway follows an exponential distribution with a mean of...
The distance between major cracks in a highway follows an
exponential distribution with a mean of 21 miles. Given that there
are no cracks in the first five miles inspected, what is the
probability that there is no major crack in the next 5 mile
stretch? Please enter the answer to 3 decimal places.
The lifetime of batteries produced are independent with an exponential distribution having a mean of 90...
The lifetime of batteries produced are independent with an
exponential distribution having a mean of 90 days of continuous
use. Consider a random selection of 250 batteries. (a) Find the
exact probability that at least 50 of these batteries have a
lifetime between 60 and 120 days using a binomial modeling
approach. (b) Find the exact probability that at least 50 of these
batteries have a lifetime between 60 and 120 days using a Poisson
modeling approach. (c) Approximate your...
5) The lifetime of a certain type of batteries follows an exponential distribution with the mean...
5) The lifetime of a certain type of batteries follows an
exponential distribution with the mean of 12 hours.
a) What is the probability that a battery will last more than
14 hours?
b) Once a battery is depleted, it is replaced with a new
battery of the same type. Assuming independence between lifetimes
of batteries, what is the probability that exactly 2 batteries will
be depleted within 20 hours?
c) What is the probability that it takes less than...
Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 68.1% of...
Data collected by the Substance Abuse and Mental Health Services
Administration (SAMSHA) suggests that 68.1% of 18-20 year olds
consumed alcoholic beverages in 2008.
(a) Calculate the probability that exactly 5 out of 11 randomly
sampled 18- 20 year olds consumed an alcoholic drink.
(b) What is the probability that exactly 6 out of 11 18-20 year
olds have not consumed an alcoholic beverage?
(c) What is the probability that at most 2 out of 6 randomly
sampled 18-20 year...
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