Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.
The general equation of a circle with center (h,k) and radius r is
(x-h)² + (y-k)² = r²
Here, the circle is centered at (3, -2) with radius 3 units.
So, the equation of given circle is
(x-3)² + (y+2)² = 3²=9
∴ (x-3)² + (y+2)² =9 is the required equation of the given circle.
Answer:
Step-by-step explanation:
Hope this helps!
Answer:
the answer that I found is A. 4
