A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has auniform distribution on the interval from 0 to 10 min. The density curve is shown in the figure below. Put the following probabilities in order, from smallest to largest:P(6 < x < 7) , P (6 7)O P(x > 7) < P(x < 2) < P(6 < x < 7) < P(6 < x < 7)O P(6 < x < 7) < P(x < 2) < P(6< x < 7) < P(x > 7)O P(6 < x < 7) = P(6 < x < 7) < P(x < 2) < P(x > 7)O P(6 < x < 7) < P(x > 7) = P(6< x < 7) < P(x < 2)O P(6 < x < 7) = P(6 < x < 7) < P(x > 7) < P(x < 2)DensityTwo horizontal line segments are graphed on the coordinate plane. The horizontal xaxis is labeled "Time (minutes)" and has two tick marks labeled "0" and "10". Thevertical axis is labeled "Density" and has one tick mark labeled "1/10." The first linesegment enters the viewing window from the left and is drawn directly on thenegative horizontal axis, ending at (0, 0). The second line segment begins at thecoordinate (0, 1/10) and ends at the coordinate (10, 1/10).You may need to use the appropriate table in Appendix A to answer this question.Need Help?Read It

The random variable x has the uniform distribution with a=0,b=10. The uniform distribution is given…

A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 min. The density curve is shown in the figure below. Put the following probabilities in order, from smallest to largest: P (6 < x < 7), P (6 7) O P(x > 7) < P(x < 2) < P(6 < x < 7) < P(6 < x < 7) O P(6 < x < 7) < P(x < 2) < P(6 s x< 7) < P(x > 7) O P(6 < x < 7) = P(6 < x < 7) < P(x < 2) < P(x > 7) O P(6 < x < 7) < P(x > 7) = P(6 < x < 7) < P(x < 2) O P(6 < x < 7) = P(6 < x < 7) < P(x > 7) < P(x < 2)

A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 min. The density curve is shown in the figure below. Put the following probabilities in order, from smallest to largest: P (6 < x < 7), P (6 7) O P(x > 7) < P(x < 2) < P(6 < x < 7) < P(6 < x < 7) O P(6 < x < 7) < P(x < 2) < P(6 s x< 7) < P(x > 7) O P(6 < x < 7) = P(6 < x < 7) < P(x < 2) < P(x > 7) O P(6 < x < 7) < P(x > 7) = P(6 < x < 7) < P(x < 2) O P(6 < x < 7) = P(6 < x < 7) < P(x > 7) < P(x < 2)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a
uniform distribution on the interval from 0 to 10 min. The density curve is shown in the figure below. Put the following probabilities in order, from smallest to largest:
P(6 < x < 7) , P (6 <x < 7), P (x < 2), P (x > 7)
O P(x > 7) < P(x < 2) < P(6 < x < 7) < P(6 < x < 7)
O P(6 < x < 7) < P(x < 2) < P(6< x < 7) < P(x > 7)
O P(6 < x < 7) = P(6 < x < 7) < P(x < 2) < P(x > 7)
O P(6 < x < 7) < P(x > 7) = P(6< x < 7) < P(x < 2)
O P(6 < x < 7) = P(6 < x < 7) < P(x > 7) < P(x < 2)
Density
Two horizontal line segments are graphed on the coordinate plane. The horizontal x
axis is labeled "Time (minutes)" and has two tick marks labeled "0" and "10". The
vertical axis is labeled "Density" and has one tick mark labeled "1/10." The first line
segment enters the viewing window from the left and is drawn directly on the
negative horizontal axis, ending at (0, 0). The second line segment begins at the
coordinate (0, 1/10) and ends at the coordinate (10, 1/10).
You may need to use the appropriate table in Appendix A to answer this question.
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