952 is the answer. you just multiply by 17
Given a table <span>representing
the probability distribution of the number of times the John Jay wifi
network is slow during a week. We call the random variable x.
Part A:
The total value of p(x) = 1.
Thus, </span><span>
.08 + .17 + .21 + k + .21 + k + .13 = 1
0.8 + 2k = 1
2k = 1 - 0.8 = 0.2
k = 0.2 / 2 = 0.1
Therefore,
the value of k is 0.1Part B:
The expected value of x is given by
Therefore,
the expected value of x is 3.01Part C:
</span><span>The expected value of
is given by
Therefore,
the expected value of is 12.45</span>
Part D:
The variance of x is given by
Therefore,
the variance of x is 3.39.
Part E
<span>The standard deviation of x is given by
Therefore,
the standard deviation of x is 1.84.
Part F:
The variance of ax, where a is a constant is given by
Thus, the variance of 3x is given by
Therefore,
the variance of 3x is 30.51.
Part G:
The probability that the network has no more that 4 slow times in one week is given by
Since, the </span>network slowness is independent from week to week, the <span>probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is given by
Therefore, </span>
the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is 0.27Part H:
The variance of x^2 is given by
Thus,
Therefore,
the <span>
variance of the random variable is 141.37</span>
Answer:
YES,SOMETIMES IT CAN BE PRODUCED
Step-by-step explanation:
Answer:
He began with 10 comic books
Step-by-step explanation:
12 - 7 - 10 comic books he started out with
10 ÷ 2 = 5
5 left after he sold half of his comic books
5 + 7 = 12 comic books after he brought seven more
Hope this helps!
Answer:
x = -2
Step-by-step explanation:
Given the point, (-2, 9) and the linear equation of a <u>horizontal line</u>, y = 6:
The linear equation of a horizontal line with a slope of zero (<em>m</em> = 0) is y = <em>b, </em>for which the y-intercept is (0, <em>b</em>). <u>Perpendicular lines</u> comprise of the intersection of two lines forming 90° angles.
Since we are given the equation of a horizontal line, then we can assume that <em>the line that intersects a horizontal line must be a </em><u><em>vertical line</em></u> in order to form perpendicular lines.
The linear equation of a <u>vertical line</u> with an undefined slope is <em>x</em> = <em>a</em>, for which the x-intercept is (<em>a</em>, 0). Vertical lines have an <u>undefined slope </u>because these lines do not have any horizontal change. Thus, when you try to solve for its slope, the denominator will have a difference of 0, making the mathematical operation undefined.
We can use the <u>x-coordinate</u> of the given point, (-2, 9), to formulate an equation for a vertical line: x = -2.
Therefore, the equation of the line that goes through y = 6 is x = -2.
Attached is a screenshot of the graph of both equations, y = 6 and x = -2, showing that their intersection form 90° angles, making them perpendicular lines.