Researchers found that a person in a particular country spent an average of 5.5 hours a day watching TV in 2010. Assume the popu
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The value of x is 105 when y=42
Step-by-step explanation:
A direct proportion means that the change in one quantity will also cause the change in other quantity
Given
y varies directly with x
x ∝ y
when the proportionality symbol is removed a proportionality constant is introduced
The value of x is 105 when y=42
Keywords: Proportion, Direct variation
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Answer:
a)
In order to find this probability we can use excel with the following code:
=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)
And we got:
b)
In order to find this probability we can use excel with the following code:
=1-GAMMA.DIST(40,5,8,TRUE)
And we got:
Step-by-step explanation:
Previous concepts
The Gamma distribution "is a continuous, positive-only, unimodal distribution that encodes the time required for events to occur in a Poisson process with mean arrival time of
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Solution to the problem
Let X the random variable that represent the lifetime for transistors
For this case we have the mean and the variance given. And we have defined the mean and variance like this:
(1)
(2)
From this we can solve and [/tex]\beta[/tex]
From the condition (1) we can solve for and we got:
(3)
And if we replace condition (3) into (2) we got:
And solving for
And now we can use condition (3) to find
So then we have the parameters for the Gamma distribution. On this case
Part a
For this case we want this probability:
In order to find this probability we can use excel with the following code:
=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)
And we got:
Part b
For this case we want this probability:
In order to find this probability we can use excel with the following code:
=1-GAMMA.DIST(40,5,8,TRUE)
And we got: