Given that F is a distribution function then it is going to be said to be non decreasing.
<h3>How to define the random variable</h3>
Let Y = F(x)
Then we have a distribution function that we can define to be
Gy(Y) = P(Y≤y) = P[F(X)≤y]
= P[x≤F⁻¹(y)]
The inverse is said to exist given that the value F is non decreasing and it is also said to be continuous.
Such that Gy(Y) = F[F⁻¹(y)]
then we have to see f to be the distribution of x
Gy(Y) = y
The PDF of Y is denoted as Y = F(X)
then we would have
d/dy [Gy(Y)] = 1
Given that F is a df, then the value of the distribution function would always be 0, 1.
gy(y) would then have to be 1
0 ≤ y ≤ 1
This tells us that F(X) is a uniform variate of 0,1.
Read more on cumulative distribution function here:
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Answer + Explanation:
The Monty Hall problem is a famous problem in conditional probability and reasoning using Bayes' theorem.
How to explain the probability?
In the problem, you are on a game show, being asked to choose between three doors. Behind each door, there is either a car or a goat.
You choose a door. The host, Monty Hall, picks one of the other doors, which he knows has a goat behind it, and opens it, showing you the goat.
You know, by the rules of the game, that Monty will always reveal a goat. Monty then asks whether you would like to switch your choice of door to the other remaining door.
In conclusion, the solution is that switching will let you win twice as often as sticking with the original choice.
Answer:
P = y * 1.06
Step-by-step explanation:
Let y be the net price (no tax), t the tax (as a factor) and P the total price (tax included),
P = y * t
From the info provided, we know that for each 100 USD, 6 USD is tax, so 6%,
TIP: By multiplying by 1.06 we add the 6% to the net price (6% is 0.06)
P = y * 1.06
The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x.
The answer is 2 √2.
The problem can be simplified by changing the square roots to look like this:
√(8y/y)
Simplify within the square root and you get this:
√8
Factor √8:
√4 √2
Simplify √4:
2 √2
