The answer is 6n^3+n^2+6n-4 I hope I helped you!
Median = 15.5
Please take a look at the image attached for an explanation.
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
45, 51, 52, 58, 61, 63, 66, 72, 74
You're trying to find the second quartile (Q₂), and to find that, you must find the median, and then find the median within the second half of the median :)
Median (Middle Number) : 61
Now, look at 61, and look at 74. What is the median of those numbers in this set?
Q₂ = 66
So, your quartile 2 is 66.
~Hope I helped!~
Answer:
D. stratosphere
Step-by-step explanation:
The stratosphere contains atmospheric ozone.
