Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet
Answer:
3√265
Step-by-step explanation:
The distance between the given points is √265. If all the side are the same length on an equilateral triangle, then the perimeter is 3 times as long.
Answer:
Diameter = 9
Step-by-step explanation:
Let the diameter be represented as x.
Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
(16 + x)(16) = 20²
256 + 16x = 400
Subtract 256 from each side
16x = 400 - 256
16x = 144
Divide both sides by 16
x = 144/16
x = 9
Diameter = 9
Answer:
C -36
Step-by-step explanation: