Answer:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval , we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
For this problem, we have that:
8 out of the 20 teams in the sample had a season winning percentage better than 0.500. This means that .
95% confidence interval
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Answer:
Step-by-step explanation:
✔️Finding h using trigonometric ratio:
Reference angle = 60°
Opposite = h
Adjacent = 3
Thus:
(tan 60 = √3)
Multiply both sides by 3
✔️Finding c using trigonometric ratio:
Reference angle = 45°
Hypotenuse = 8
Adjacent = c
Thus:
(cos 45 = √2/2)
Multiply both sides by 8
Answer:
2.24
Step-by-step explanation:
The probability formula using a Poisson distribution is:
λ = 90 / 18 = 5 average goals per interval (interval = a game)
So if for example you were interested in the probability of making 2 goals in a game
k = 2
This was just an example,
The standard deviation is
Answer:
A. 4
Step-by-step explanation:
4*x-4*1=4x-4