Assume that the mean scattering in a semiconductor is only dependent on temperature and that dependence to be defined as T^(1.5)and effective electron mass to be independent of temperature. Electron mobility of a semiconductor at 80K is given to be 2,000cm²/m.s. Calculate the electron diffusion constant for this semiconductor at 120K.
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- The relationship between temperature measured on the Celsius scale and on the Fahrenheit scale is linear. The freezing point of water is 0°C and 32°F, and the boiling point is 100°C and 212°F. (a) Find an equation giving the relationship between the temperature F measured on the Fahrenheit scale and the temperature C measured on the Celsius scale.F = (b) Find F as a function of C, and use this formula to determine the temperature in Fahrenheit corresponding to a temperature of 20°C. (Round your answer to one decimal place.)°F(c) Find C as a function of F, and use this formula to determine the temperature in Celsius corresponding to a temperature of 80°F. (Round your answer to one decimal place.)°CWhat changes occur in the Coefficients of a Nonbasic Variable when the original model is modified?It is usually fairly straightforward to predict the shape of the output distribution from the shape(s) of the input distribution(s). TRUE OR FALSE
- Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduce shortly. The manager of product testing has indicated that the calculators have an expected life of 30 months. Assume product life can be described by an exponential distribution. T / MTBF e-T /MTBF T / MTBF e-T /MTBF T / MTBF e-T /MTBF 0.10 0.9048 2.60 0.0743 5.10 0.0061 0.20 0.8187 2.70 0.0672 5.20 0.0055 0.30 0.7408 2.80 0.0608 5.30 0.0050 0.40 0.6703 2.90 0.0550 5.40 0.0045 0.50 0.6065 3.00 0.0498 5.50 0.0041 0.60 0.5488 3.10 0.0450 5.60 0.0037 0.70 0.4966 3.20 0.0408 5.70 0.0033 0.80 0.4493 3.30 0.0369 5.80 0.0030 0.90 0.4066 3.40 0.0334 5.90 0.0027 1.00 0.3679 3.50 0.0302 6.00 0.0025 1.10 0.3329 3.60 0.0273 6.10 0.0022 1.20 0.3012 3.70 0.0247 6.20 0.0020 1.30 0.2725 3.80 0.0224 6.30 0.0018 1.40 0.2466 3.90 0.0202 6.40 0.0017 1.50 0.2231 4.00 0.0183 6.50 0.0015 1.60 0.2019 4.10 0.0166 6.60 0.0014 1.70 0.1827 4.20…It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.00 6.00 6.75 7.00 7.50 y 3 57 75 71 71 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? Round your answer to the nearest tenth of a percent. a.81.9% b.0.9% c.90.5% d.3.3%
- What is NOT true about normal distribution? We can expect approximately 99.7% of the possible outcomes to fall within three standard deviations above and below the mean We can expect approximately half of the possible outcomes to be positive and half to be negative We can expect approximately 95% of the possible outcomes to fall within two standard deviations above and below the mean It is completely defined by two numbers: mean and standard deviation It is bell shaped and symmetricLet’s suppose that you have a set of time-series variables, and you want to model the relationship between them. Read the situations given below and answer the questions. (200 words)a) Explain the statistical test if the linear combination (of time-series variables) is I(0).b) Which statistical test can be applied if all the series are integrated of the same order I(1). Justify your answerThe output distribution form(s) of the input distribution(s) are generally fairly straightforward to predict (s). FALSE OR TRUE!!
- Write a program that asks the user for an angle, entered in degrees. The program should then display the sine, cosine, and tangent of the angle. (Use the sin, cos, and tan library functions to determine these values.) You must convert the angle into radians (angle * 3.14/180)If X1, X2, ... , Xn constitute a random sample from apopulation with the mean μ, what condition must beimposed on the constants a1, a2, ... , an so thata1X1 + a2X2 +···+ anXnis an unbiased estimator of μ?A calculus instructor uses computer-aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained. Following is a record of the number of students in a class of 50 who took the test each number of times. Students Number of Tests 22 1 15 2 8 3 5 4 a.Find the expected value of the number of tests taken. b.Compute the variance and the standard deviation of the number of tests taken.