ketch the graph of the probability density function over the indicated interval. 2x 9 [0, 3]...
3. Make a plot of a vs. sin6 fon linear graph and draw a best fit line through the data. Extend the best fit line so that it intersects the point at sin@ = 1 . #1 Incline Angle 0-2° (m/s) 0.22 Time Interval (s) Displaceent (m) Average Velocity Average Acceleration 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 m/s/s 0.021 0.022 0.023 0.024 0.025 0.027 0.029 0.030 0.032 0.033 0.1 0.24 0.25 0.27 0.29 0.30 0.32 0.33...
5. What is the slope of the best fit line for the plot of a vs. sin. What is the value of a at sine-1? How are these two values related? #1 Incline Angle 0-2° (m/s) 0.22 Time Interval (s) Displaceent (m) Average Velocity Average Acceleration 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 m/s/s 0.021 0.022 0.023 0.024 0.025 0.027 0.029 0.030 0.032 0.033 0.1 0.24 0.25 0.27 0.29 0.30 0.32 0.33 0.2 0.2 0.1 0.2 Average...
6. Here is the graph of the probability density function (pdf) fx for a continuous random variable X 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 6 10 (a) Sketch the cumulative distribution function (cdf) of X. Label the vertical axis appropriately. (b) Which is larger, P(X 2) or P(X 6)? Explain how you know c) Which is larger, P(1.999 X 2.001) or P(5.999 s X .00)? Explain how you know (d) Which is larger, P(1s X S3) or P(5...
Let the random variable X be a random number with the uniform density curve in the figure below. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 P(X<0.5 or X > 0.8) P(0.3<X<0.7) (a) (b) Find the following probabilities. P(X 2 0.35) (a) (b) P(X = 0.35) P(0.35 < X < 1.25) (c) P(0.10 < X < 0.20 or 0.6 < X < 0.9) (d) X is not in the interval 0.5 to...
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P( X Y) = 0.6, P(Y') = 0.7, PCX | Y') = 0.1. Find P(YX). P(YX) =
Let Xn be a Markov chain with state space {0, 1, 2}, and transition probability matrix and initial distribution π = (0.2, 0.5, 0.3). Calculate P(X1 = 2) and P(X3 = 2|X0 = 0) 0.3 0.1 0.6 p0.4 0.4 0.2 0.1 0.7 0.2
Plz show all steps, thx! Question 3. A Markov chain Xo. Xi, X.... has the transition probability matrix 0 0.3 0.2 0.5 P 10.5 0.1 0.4 2 0.5 0.2 0.3 and initial distribution po 0.5 and p 0.5. Determine the probabilities
Provide answers to the following questions using complete sentences. 1. Make a plot of vavg vs. r on linear graph paper for each set of data. Draw a best fit line through each set of data on the plot. 2. What is the slope of each best fit line for each set of data in the plot of vavg VS. ? What does this slope represent? 3. Make a plot of a vs. sin6 fon linear graph and draw a...
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...
For a given material at 3000 K, the transmissivity and reflectivity are as follows, O um< <0.4 um: p=0.4 and t=0.5 0.4 um< <0.6 um: p=0.3 and 1 = 0.2 î>0.7 um: p=0.1 and 1=0.7. a) Make a plot of the emissivity of the material. Assume Kirchoff's law holds. You should have wavelength on the x axis and ε on the y axis. b) Calculate the average emissivity of the material.