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Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
Answer:
Step-by-step explanation:
Given
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
Substitute the values of BD, BC and CD
Collect Like Terms
Divide both sides by -4
To determine the length of CD;
Substitute 3 for x in
Hence;
To find the slope of the line we can use the following formula:
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>