Answer:
E(w) = 1600000
v(w) = 240000
Step-by-step explanation:
given data
sequence = 1 million iid (+1 and +2)
probability of transmitting a +1 = 0.4
solution
sequence will be here as
P{Xi = k } = 0.4 for k = +1
0.6 for k = +2
and define is
x1 + x2 + ................ + X1000000
so for expected value for W
E(w) = E( x1 + x2 + ................ + X1000000 ) ......................1
as per the linear probability of expectation
E(w) = 1000000 ( 0.4 × 1 + 0.6 × 2)
E(w) = 1600000
and
for variance of W
v(w) = V ( x1 + x2 + ................ + X1000000 ) ..........................2
v(w) = V x1 + V x2 + ................ + V X1000000
here also same as that xi are i.e d so cov(xi, xj ) = 0 and i ≠ j
so
v(w) = 1000000 ( v(x) )
v(w) = 1000000 ( 0.24)
v(w) = 240000
To answer this question you will use the formula for circumference of a circle to find how far around one revolution is.
C = pi x d
3.14 x 32
C = 100.48 feet
Multiply the distance around one time by 4.3 to get the distance traveled in one revolution and then multiply it by 3 for the 3 minutes.
100.48 x 4.3 x 3 = 1296.19 feet
This is approximate and is closest to answer choice D.
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
In the given triangle,
Using Pythagoras theorem, we get
Taking square root on both sides, we get
Therefore, the correct option is B.
