The distribution function of the univariate random variable x is continuous at x if and only if , F (x) = P (X ≤ x)
Continuous univariate statistical distributions are functions that describe the likelihood that a random variable, say, X, falls within a given range. Let P (a Xb) represent the probability that X falls within the range [a, b].
A numerically valued variable is said to be continuous if, in any unit of measurement, whenever it can take on the values a and b. If the random variable X can assume an infinite and uncountable set of values, it is said to be a continuous random variable.
If X can take any specific value on the real line, the probability of any specific value is effectively zero (because we'd have a=b, which means no range). As a result, continuous probability distributions are frequently described in terms of their cumulative distribution function, F(x).
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Answer:
13 units
Step-by-step explanation:
The legs of an isosceles trapezoid are congruent, then
x + 8 = 48 - 7x ( add 7x to both sides )
8x + 8 = 48 ( subtract 8 from both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Then
leg = x + 8 = 5 + 8 = 13
The question is an illustration of angles on a straight line
The value of x is 25.4
<h3>How to determine the value of x</h3>
In the figure, angles 1 and 2 are angles on a straight line
Where:
- Angle 1 = 4x - 8
- Angle 2 = 3x + 10
So, we have:
Collect like terms
Divide through by 7
Hence, the value of x is 25.4
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