Answer:
1) pounds
2) grams
3) tons
Step-by-step explanation:
The suitable measurements for the scenarios are:
1) A piano weighs 5.5 × 10² units
550 Ib (pounds)
2) A grain of salt weighs 1.02 ×
units
0.00102 grams
3) A tractor trailer weighs 8.8 ×
units
88 ton
10²g = 1kg
10^-3g = miligrams
10^1 g = decagram
Answer:
![P(Y>X) = \frac{17}{32}](https://tex.z-dn.net/?f=P%28Y%3EX%29%20%3D%20%5Cfrac%7B17%7D%7B32%7D)
Step-by-step explanation:
Recall that since X is uniformly distributed over the set [1,4] we have that the pdf of X is given by
if
and 0 otherwise. In the same manner, the pdf of Y is given by
if
and 0 otherwise.
Note that if Y is in the interval (4,5] then Y>X by default. So, in this case we have that P(Y>X| y in (4,5]) = 1. We want to calculate the probability of having Y in that interval . That is
. Thus,
.
We want to proceed as follows. Using the total probability theorem, given two events A, B we have that
In this case, A is the event that Y>X and B is the event that Y is in the interval (4,5].
If we assume that X and Y are independent, then we have that the joint pdf of X,Y is given by
when
. We can draw the region were Y>X and the function h(x,y) is different from 0. (The drawing is attached). This region is described as follows:
and
, then (the specifics of the calculations of the integrals are ommitted)
Thus,
![P(Y>X) = 1\cdot \frac{1}{4} + \frac{3}{8}\cdot \frac{3}{4} = \frac{17}{32}](https://tex.z-dn.net/?f=P%28Y%3EX%29%20%3D%201%5Ccdot%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B17%7D%7B32%7D)
Answer:
THE ANSWER OM EDGE IS (C)
UR WELCOME
Step-by-step explanation:
have a great day :)
Answer:
False
Step-by-step explanation:
The diameter is the length from one point of a circle to the opposite point, or farthest point, but the radius is the length from a point on the circle to the center, therefore the radius is always half the diameter