Yes, that is an absolute value question. The absolute value of that is 11.
Answer:
See explanation
Step-by-step explanation:
<h3 /><h3>Step 1</h3>
Miguel wins $2 is if he pulls two chips with the number 1.
<u>Probability of winning is:
</u>
- 2/4 * 1/3 = 1/6 as there are 4 chips in total
<u>
Probability of loosing is:</u>
<h3 /><h3>Step 2</h3>
<u>Missing values we found in the step 1, can be populated in the table:</u>
- Xi === 2 === -1
- P(Xi) === 1/6 === 5/6
<u>Expected Value as per table data:</u>
Expected value is $1/2 loss each time he plays
<h3 /><h3>Step 3</h3>
To make the game fair, the expected value should be zero.
<u>Then as per the calculation above, let's replace 2, with x, and find its value.</u>
- 1/6x + 5/6*(-1) = 0
- 1/6x = 5/6
- x= 5
So the amount should be $5 to make the game fair.
Answer:
15.
Step-by-step explanation:
(6/ 10) * 25
= 0.6 * 25
= 15.
Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) =
∪
---(3)
Rewrite the equation (3)
P(only one source of energy available) =
![=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)](https://tex.z-dn.net/?f=%3DP%28%5Cbar%20F%20S%29%2BP%28%5Cbar%20S%20F%29%5C%5C%5C%5C%3D%5C%7B%5B1-P%28F%29%5DP%28S%29%2B%5B1-P%28S%29%5DP%28F%29%5C%7D---%284%29)
![=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36](https://tex.z-dn.net/?f=%3D%5C%7B%5B1-0.7%5D0.85%2B%5B1-0.85%5D0.7%5C%7D%5C%5C%5C%5C%3D0.255%2B0.105%5C%5C%5C%5C%3D0.36)
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36