Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
The probability of rolling a 4 in the three dices are as follows:
Compute the value of E [Z] as follows:
Thus, the value of E [Z] is 0.50.
Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs and
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore,
= 50°
Similarly = 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and
Since °
Therefore, measure of arc EH = 130°