Answer:
0.513 = 51.3% probability of being a female.
Step-by-step explanation:
We are given the following formula:
![P(F \cup C) = P(F) + P(C) - P(F \cap C)](https://tex.z-dn.net/?f=P%28F%20%5Ccup%20C%29%20%3D%20P%28F%29%20%2B%20P%28C%29%20-%20P%28F%20%5Ccap%20C%29)
In which:
Event F: Female
Event C: Red-green color blindness.
Probability of a Female
We have to find P(F), which is given by:
![P(F) = P(F \cup C) + P(F \cap C) - P(C)](https://tex.z-dn.net/?f=P%28F%29%20%3D%20P%28F%20%5Ccup%20C%29%20%2B%20P%28F%20%5Ccap%20C%29%20-%20P%28C%29)
We are given by:
![P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548](https://tex.z-dn.net/?f=P%28C%29%20%3D%200.039%2C%20P%28F%20%5Ccap%20C%29%20%3D%200.004%2C%20P%28F%20%5Ccup%20C%29%20%3D%200.548)
So
![P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513](https://tex.z-dn.net/?f=P%28F%29%20%3D%20P%28F%20%5Ccup%20C%29%20%2B%20P%28F%20%5Ccap%20C%29%20-%20P%28C%29%20%3D%200.548%20%2B%200.004%20-%200.039%20%3D%200.513)
0.513 = 51.3% probability of being a female.
(2, 6) because it is halfway between both endpoints
You would take 3 x 4 which equals 12. And then you would take 12 x8 which would equal 96
Answer:
There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:
![CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ctimes%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).
The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².