Here is the correct computation of the question.
The future lifetimes (in months) of two components of a machine have the following joint density function:
for 0 < x < 50 - y < 50, otherwise.
Write down a single integral representing the probability that both components are still functioning in 20 months from now.
Answer:
Step-by-step explanation:
From the given information;
for 0 < x < 50 - y < 50, otherwise.
We can assert that the probability is the integral of the given density over the part of the range 0 ≤ x ≤ 50 - y ≤ 50 in which both x and y are greater than 20.
From the attached file below; their shows a probability density graph illustrating the above statement being said.
Now; to determine the probability that illustrates the integral of the density ; we have : P[(X > 20)∩(Y > 20)]
In addition to that:
From the image attached below;
We look into the region where the joint density under study is said to be positive and the triangle limits by the line axis x+y = 50
∴
Thus; the single integral representing the probability that both components are still functioning in 20 months from now is
Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
Since there are 3 odd numbers on a fair die, that will be our numerator.
Since there are 6 faces on a fair die, that will be our denominator.
The answer is 3/6, but that can be simplified to 1/2, so the answer is 1/2. :)
Hope this helps!
Answer:
1)
Weights: =0.06321578
Ages: =0.06980003
2) A) Ages are more variable than weights for all wide receivers on this team
Step-by-step explanation:
The coefficient of variation is calculated as follows
where s is the sample standard deviation and x bar is the sample mean,
where
∑(xi-x bar)^2/(n-1)
xi=i observation, n is the sample size
and, x bar = ∑(xi) / n