At my local bar, it always takes at least two minutes to serve a customer, and it can take much longer. The time in minutes that it takes to serve a customer may be modelled by a continuous random variable T with probability density function f(t) 64 t≥ 2.
At my local bar, it always takes at least two minutes to serve a customer, and it can take much longer. The time in minutes that it takes to serve a customer may be modelled by a continuous random variable T with probability density function f(t) 64 t≥ 2.
At my local bar, it always takes at least two minutes to serve a customer, and it can take much longer. The time in minutes that it takes to serve a customer may be modelled by a continuous random variable T with probability density function f(t) 64 t≥ 2.
Hi. Please help. I need to calculate the mean and vairance of the probabiltiy density function I am getting one minute but the time better each serving is at least 2 minutes. Can you correct me as I have gone wrong somewhere. (see attached doc)
Transcribed Image Text:At my local bar, it always takes at least two minutes to serve a customer, and it can take much
longer. The time in minutes that it takes to serve a customer may be modelled by a continuous
random variable T with probability density function
f(t) = 64, t> 2.
The C.d.f for random variable T is,
wwwwww
16
F(t) = 1- t> 2.
Use the p.d.f. f(t) to calculate the mean and variance of the time taken
to serve a customer.
Mean
u= E(T)
11
=
=
= √₂ + f (6) dt
11
=
64
dt
So 64E-5 alt
:(-16) - (-1²)
0 + 1
= 1 minute.
[-16] 2
= [-]일
AS
(im I
∞0 + 0
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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![At my local bar, it always takes at least two minutes to serve a customer, and it can take much
longer. The time in minutes that it takes to serve a customer may be modelled by a continuous
random variable T with probability density function
f(t) = 64, t> 2.
The C.d.f for random variable T is,
wwwwww
16
F(t) = 1- t> 2.
Use the p.d.f. f(t) to calculate the mean and variance of the time taken
to serve a customer.
Mean
u= E(T)
11
=
=
= √₂ + f (6) dt
11
=
64
dt
So 64E-5 alt
:(-16) - (-1²)
0 + 1
= 1 minute.
[-16] 2
= [-]일
AS
(im I
∞0 + 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd9e192-0e90-49ce-a5f5-5dbdfc960c65%2Fd629aa2f-fab2-4b94-8746-947202cc2fca%2Fr8ktpsg_processed.png&w=3840&q=75)
