# Mathematics

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Solution Library **

#### Determine Probability of a Thickness Measurement of a Wall of Plastic

Question The thickness measurement of a wall of plastic tubing, in millimeters, varies according to a cumulative distribution function F(x) = Determine the following. P(X 0080) b) P(X>2.0055) If the specification for the tubing requires that the thickness measu ... Read More

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#### Probabilities for the Standard Normal Random Variable

Question Use appendix Table I to determine the following probabilities for the standard normal random variable Z. P(-1<Z<1) P(-2<Z<2) P(-3<Z<3) P(Z<-3) P(0<Z 3) Summary: This question belongs to mathematics and discusses about probability operations. Total ... Read More

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#### Probabilities for the Reaction time of a Driver to Visual Stimulus

Question The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 second and a standard deviation of 0.05 second. What is the probability that a reaction requires more than 0.5 second? What is the probability that a reaction requires between 0.4 and 0.5 second ... Read More

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#### Probabilities of a Semiconductor Laser at a Constant Power

Question The life of semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that a laser fails before 5000 hours? What is the life in hours that 95% of the lasers exceed? ... Read More

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#### Construct a Stem-and-Leaf Diagram for Given Data

Question An important quality characteristic of water is the concentration of suspended solid material. Following are 60 measurements on suspended solids from a certain lake. Construct a stem-and-leaf diagram for these data and comment on any important features that you notice. Summary: Th ... Read More

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#### Construct a Stem-and-Leaf Diagram for Given Data

Question The shear strengths of 100 spot welds in a titanium alloy follow. Construct a stem-and-leaf diagram for the weld strength data and comment on any important features that you notice. ... Read More

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#### Construct and Interpret a Pareto Chart

Question The following information on structural defects in automobile doors is obtained: dents, 4; pits, 4; parts assembled out of sequence, 6; parts undertrimmed, 21; missing holes/slots, 8; parts not lubricated, 5; parts out of contour, 30; and parts not deburred, 3. Construct and interpret a Pa ... Read More

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#### Compute the Sample Mean and Sample Variance for a Disbursement rate Data

Question Eighteen measurements of the disbursement rate (in cm3/sec) of a chemical disbursement system are recorded and sorted: 6.50 6.77 6.91 7.38 7.64 7.74 7.90 7.91 8.21 8.26 8.30 8.31 8.42 8.53 8.55 9.04 9.33 9.36 a) Compute the sample mean and sample variance b) Find the sa ... Read More

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#### Interpret either a Digidot Plot Â or a Separate Stem-and Leaf and Time Series Plot for given Data

Question The following table shows U.S petroleum imports, imports as a percentage of total, and Persian Gulf imports as a percentage of all imports by year since 1973. Construct and interpret either a digidot plot (or a marginal plot) or a separate stem-and leaf and time series plot for each column ... Read More

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#### Investigate Fuel Efficiency and Compute and Interpret the Two Sample Correlation Coefficients

Question To investigate fuel efficiency, the following data were collected. Create two scatter diagrams of the data. What do you anitcipate will be the sign of each sample correlation coefficient? Compute and interp ... Read More

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#### Writing Car Dealerâ€™s Luxury Carâ€™s Data In Matrix M And Multiplying With Another Matrix

Question A car dealer can buy midsize cars for 12% under the list price, and he can buy luxury cars for 15% under the list price. The table gives the list prices for two midsize and two luxury cars. Midsize 33,000 38,000 ... Read More

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#### Clothing Manufacturerâ€™s Total Revenue Using Matrix Multiplication

Question A clothing manufacturer has factories in Atlanta, Chicago, and New York. Sales (in thousands) during the first quarter are summarized in the matrix below. During this period the selling price of a coat was $225, of a shirt $40, of a pair of pants $65, and of a tie $25. Use matrix multipli ... Read More

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