Answer:
(a) and (e) are not valid.
Step-by-step explanation:
a) The number of traials is not fixed. In fact, the random variable counts the total number of trials.
b) This is true, the result of each trial is independent of the others.
c) This is also true. The outcomes are failure and success.
d) This is true as well, all trials are identically distributed.
e) Since (a) is not valid, this cant be true.
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The general equation of a horizontal ellipse is
(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.
If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,
2b = 16
b = 8
b^2 = 64
The distance between the two foci is 2c. Thus,
2c = 12
c = 6
c^2 = 36
Then, a2 = 64 + 36 = 100. Substituting to the general equation:
x^2/100 + y^2/64 = 1
