The standard deviation of the y(t)=3 sin(20rtt) is: 1.0606. O 2.1213. O 1.6062 O 2.2123.
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- Let {X(t)} be a geometric BM with standard deviation parameter σand drift parameter µ . Find E(X(t)).The lengths of a certain type of chain are approximately Normally distributed with a mean of 3 cm and a standard deviation of 0.2 cm. Find the value of ℓℓ such that P(L>ℓ)=0.01P(L>ℓ)=0.01A. 7.19 cmB. 3.47 cmC. 3.00 cmD. 0.20 cmE. 3.09 cmIn a sample of 15 randomly selected high school seniors, the mean score on a standardized test was 1191 and the standard deviation was 164.6. Further research suggests that the population mean score on this test for high school seniors is 1012. Does the t-value for the original sample fall between −t0.99 and t0.99? Assume that the population of test scores for high school seniors is normally distributed. The t-value of t=nothing ▼ fall between −t0.99 and t0.99 because t0.99=nothing. (Round to two decimal places as needed.)
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 15.39% from the rest? That is, if P(z>c)=0.1539P(z>c)=0.1539, find c.If X is normally distributed and P(X<20)=0.5 and P(X>26)=0.0228, find the mean and standard deviation of X. Give a detailed solutionWith α = .05, what is the critical t value for a one-tailed test with n = 15? a. t = 1.761 c. t = 2.145 b. t = 1.753 d. t = 2.131
- Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z<e)=0.0104P, find e.e= Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z>d)=0.99, find d.d= (Round to two decimal places.)The distribution of a large set of temperatures is approxi-mately Normal with a mean of 60° and a standard devia-tion of 5. Estimate the interquartile range for these data. A) 6.7° B) 7.5° C) 10.0°D) 13.4° E) 15.0°In a t-distribution, what is the area under the curve that is to the right of t=2.048 and with df=28?
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 15.55% from the rest? That is, if P(z>c)=0.1555P(z>c)=0.1555, find c.c=c= °CWith α = .05, what is the critical t value for a one-tailed test with n = 25? t = 2.064 t = 1.711 t = 2.060 t = 2.708Given the normally distributed variable X withmean 18 and standard deviation 2.5, find(a) P(X <15);(b) the value of k such that P(X <k) = 0.2236;(c) the value of k such that P(X >k) = 0.1814;(d) P(17 < X < 21).---------------------------------