Total fish = 100
Carp = 30
Number of fish caught = 20
The random variable X follows hyper-geometric distribution.
Mean = 30 *20 / 100 = 600/100 = 6
Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)
Variance = 600/100 * 56/99
Variance = 112/33
Assumptions: Is that X follows hyper-geometric distribution with the given information.
1 pt = 0.5 qts.....so 720 pts = (720 * 0.5) = 360 qts
1 hr = 60 minutes
360/60 = 6
720 pt/hr = 6 qts/min
The formula for the confidence interval is given by
Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]
We have:
Sample mean = 23.95
n = 40
σ = 2.55
z* for 99% confidence = 2.58
Substitute these values into the formula, we have
23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91
So the lower interval is 22.91 and the highest interval is 24.99
Answer:
9
Step-by-step explanation:
30 - 6(3.5)
30 - 21
9
Answer:
-2
Step-by-step explanation:
