Answer: 4
Step-by-step explanation:
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:
30 grams
Step-by-step explanation:
So, first I had to figure out what 1 tin weight. Which was 350 grams because I divide 5 into 1750. Then I did 350+4 which gave me 1,400. I knew that there was three packets so 30 grams per packet should be the answer because 30×3 is 90 grams.
Answer:
D between x=4 & x=6
Step-by-step explanation:
0-3 3 numbers 0-2
3-11 8 numbers 2-4
11-23 12 numbers 4-6