For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is d
1 answer:
Answer:
The possible values for X is:
Yes, it is a discrete random variable.
Step-by-step explanation:
Consider the provided information.
We need to determine whether the variable is discrete or not.
Discrete variables are which can only take on a finite number of values.
Let the variable X be the number of unbroken eggs in a randomly chosen standard egg carton.
In a standard egg carton we can put 12 eggs.
Therefore, the possible values for X is:
The number of unbroken eggs (X) can take infinite values, thus by the above definition it is a discrete random variable.
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Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
switch the x and y, then solve for y:
So the exponential function is the inverse of the logarithmic one, f(x) = ln x
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
switch the x and y, then solve for y:
So the exponential function is the inverse of the logarithmic one, f(x) = ln x