Answer:

And we can use the probability mass function and we got:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:

And we can use the complement rule and we got:

And we can use the probability mass function and we got:
And replacing we got:

Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula,
. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

Thus, the slope is
.
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or
format. Substitute the
and
for real values.
The
represents the slope of the equation, so substitute it for
. The
represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

Answer:
so first you do the work than check
Step-by-step explanation:
I think the answer is
0.32
Answer: 11.5%
Explanation:Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:

where

So, the z-score of 720 seconds is given by:

Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

Hence, there is
11.5% chance that the auditor will spend more than 12 minutes in an invoice.