The lottery's anticipated worth is $80.
Given that,
The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.
A) EV=125*.2+100*.3+50*.5=$80
The lottery's anticipated worth is $80.
The expected value is obtained by multiplying each result by its likelihood.
The expected value of the lottery is then calculated by adding up all of these.
This is what we have: ;;
125(0.2) + 100(0.3) + 50(0.5) (0.5)
= 25 + 30 + 25 = $80
B) This is the formula for variance is shown in figure :
So, we can calculate the variance as follows:
.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975
C) A risk-neutral person would pay $80 or less to play the lottery.
To learn more about probability click here:
brainly.com/question/14210034
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12x - 4y = 20 Subtract 12x from both sides
-4y = -12x + 20 Divide both sides by -4
y = 3x - 5
<em>∠OAC = 27°</em>
Step-by-step explanation:
When a line is tangent to a circle, the part where the radius meets with the line of tangency will be a right angle. Since we know this, we know that ∠C is equal to 90°. We also know that all of the angles in a triangle will add up to be 180°.
We can now add up the two angles we know and subtract it from 180° to get the measurement of ∠OAC.


∠OAC = 27°
Step-by-step explanation:
s=12km t=15m
15m--> km= 15/60= 0,25h
V=s/t
V=12km/0,25h
V= 48 km/h
Answer:
2
Step-by-step explanation: