Suppose () = 1/8 for 0 ≤ ≤ 4 for x being a continuous random variable Is () a probability density function? Prove or disprove.
1 answer:
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Answer:
Step-by-step explanation:
So we have the function:
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
Switch:
Add 1 to both sides:
Divide both sides by 6:
And that's our answer :)
Answer:
Curved parenthesis at negative infinity
Square bracket at -4
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Work Shown:
The last inequality shown above is the same as saying
Converting this to interval notation leads to the final answer of
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
Answer:
A.
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004,
Newspapers circulated in year 2014,
Let the time start at the year 2004. So,
For the year 2014,
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:
Therefore, the equation describing the relationship is:
Part B:
For the year 2018,
Plug in 14 for in the above equation and solve for
. This gives,
Therefore, in the year 2018, the newspaper circulation will be 42.2 million.