Answer:
-0.0526
Step-by-step explanation:
Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).
Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is
and probability of failure is
. For a win, X takes value 35 and for a loss X takes value -1. So the model is,
![P(X=35) = \frac{1}{38}](https://tex.z-dn.net/?f=%20P%28X%3D35%29%20%3D%20%5Cfrac%7B1%7D%7B38%7D%20)
![P(X=-1) = \frac{37}{38}](https://tex.z-dn.net/?f=%20P%28X%3D-1%29%20%3D%20%5Cfrac%7B37%7D%7B38%7D%20)
![P(X=i) = 0 \;if\; i \neq 38, i\neq -1](https://tex.z-dn.net/?f=%20P%28X%3Di%29%20%3D%200%20%5C%3Bif%5C%3B%20i%20%5Cneq%2038%2C%20i%5Cneq%20-1%20)
The mean for one bet is ![E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum%20xP%28X%3Dx%29%20%3D%2035%5Ctimes%5Cfrac%7B1%7D%7B38%7D%20-%201%5Ctimes%5Cfrac%7B37%7D%7B38%7D%20%3D%20-0.0526%20)
The cost for six pencils would be a total of 150p
The reason why is if three pencils cost 75p and you want to know what the cost of six, since three is half of six you would do this (if 3=75p then 3*2=75p*2 which is 6=150p). As shown, you multiply each side by 2 or double each side
If it stays as fraction the answer would be 7/14
Answer:
The length of the side of the rectangle is 11 units.
Answer:
27 and 23
Step-by-step explanation:
x + y = 50
x - y = 4
2x = 54
x = 27
y = 23