MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 5, Problem 11P
A plot of an astroid is shown in the figure on the right. Make the plot using the Cartesian equation:
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy | 1 2 4 8 16p(y) | .05 .10 .35 .40 .10
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F(x)=0.00 : x < 10.30 : 1≤x<30.40 : 3≤ x < 40.45 : 4≤ x <60.60 : 6≤ x < 121.00 : 12≤ x
a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
Chapter 5 Solutions
MATLAB: An Introduction with Applications
Ch. 5 - Prob. 1PCh. 5 - Use the plot command to plot the function...Ch. 5 - Use the plot command to plot the function...Ch. 5 - Plot the function (x)=x2exand its derivative for...Ch. 5 - Make two separate plots of the function...Ch. 5 - Use the fplot command to plot the funtion...Ch. 5 - Plot the function f(x) = sin(2x) cos2(0.5x) and...Ch. 5 - The orbit of the planet Mercury around the sun can...Ch. 5 - Prob. 9PCh. 5 - The butterfly curve (Fay. T. H. “The Butterfly...
Ch. 5 - A plot of an astroid is shown in the figure on the...Ch. 5 - Make the plot of the astroid that is shown in the...Ch. 5 - Plot the function f(x)=x26x+7x38 in the domain 0x4...Ch. 5 - Plot the function f(x)=x+1x21 for 4x4 . Notice...Ch. 5 - Prob. 15PCh. 5 - The shape of the pretzel shown is given by the...Ch. 5 - Prob. 17PCh. 5 - Make a polar of the function: =n135.7 r=n for n=1,...Ch. 5 - Prob. 19PCh. 5 - Plot two ellipses is one figure (shown). The...Ch. 5 - The following data gives the height (in inches) of...Ch. 5 - The volage Vc t second after closing the switch in...Ch. 5 - The force F (in N) acting between a particle with...Ch. 5 - The curvilinear motion of a particle is defined by...Ch. 5 - The height and speed of a projectile shoot at a...Ch. 5 - The position x as a function of time of a particle...Ch. 5 - According to Planck’s law of black- body...Ch. 5 - A high-pass filter passes signals with frequencies...Ch. 5 - A resistor, R = 4O, and an inductor, L = 1.3 H,...Ch. 5 - In a typical tension test a dog-bone shaped...Ch. 5 - According to special relativity, a rod of length L...Ch. 5 - A railroad bumper is designed to slow down a...Ch. 5 - The ideal gas equation states that PVRT=n, where P...Ch. 5 - Two sound waves of slightly different frequencies...Ch. 5 - Consider the diode circuit shown in the figure....Ch. 5 - A monochromatic light that passes through a double...Ch. 5 - A simply supported beam is loaded as shown. The...Ch. 5 - Biological oxygen demand (BOD) is a measure of the...Ch. 5 - The shape of a asymmetric four-digitseries NACA...Ch. 5 - The Taylor series expansion for sin2x is:...
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- 26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?arrow_forwardThe following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)arrow_forwardPlease provide the solution for the attached image in detailed.arrow_forward
- 20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEALarrow_forwardLet X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward
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