The question is in the attached image.
1 answer:
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Answer:
a) 80% probability that x lies between 7 and 27.
b) 28% probability that x lies between 6 and 13.
c) 44% probability that x lies between 9 and 20.
d) 28% probability that x lies between 11 and 18.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.
Uniform distribution from a = 4 to b = 29
(a) Find the probability that x lies between 7 and 27.
So
80% probability that x lies between 7 and 27.
(b) Find the probability that x lies between 6 and 13.
So
28% probability that x lies between 6 and 13.
(c) Find the probability that x lies between 9 and 20.
So
44% probability that x lies between 9 and 20.
(d) Find the probability that x lies between 11 and 18.
So
28% probability that x lies between 11 and 18.
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
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