Using the given below, find the following:a) Find P(Y > 1| X = 1/2).b) Find P(X > 1/2 | Y = 1).c) Determine if the random variables are statistically independent. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote thetemperature (°F) at which a certain reaction starts to take place. Suppose that tworandom variables X and Y have the joint densityf(x, y) =- {x² + 7,0 < xlsewhere.< 2.30,

Answered: Image /qna-images/answer/75ec1939-a613-4c58-ab7c-4eb18b54bea8.jpg

Answered: Using the given below, find the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given that z is a standard normal random variable, compute P(z < -2.14). Select one: a. 0.0154 O b. 0.9834 C. 0.9842 d. 0.9838 e. 0.0166 of. 0.0158 g. 0.0162 O h. 0.9846
Let X denote the mean of a random sample size n from distribution that has mean U and variance o = 10. Find the sample size n, so that the probability is approximately =0.954 %3D that the random interval X -5,X+5 | contains U is Select one: a. n=100 b. n= 40 C. n = 80 d. n = 160
Let Z be a standard normal random variable. Use the z‐table to find P(Z > ‐1.30)?
Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ±
Which of the following random variables is discrete? a. W=duration of travel (in minutes) from house to school b. X = proportion of failing subjects of a student in a semester c. Y = number of business permits issued each month in Makati d. Z = weight of dog food (in kilograms) supplied by a certain pet store per month
Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t critical t ± (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ± (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit please show steps and work
Given a random variable, X (s) = over the sample space S = (0 < s, S 2). %3D %3D Determine the possible values of X: Select one:
Find P(Z < -0.51) where Z is the standard normal random variable. Round to 4 decimal places. Answer:
Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit
Test the claim about the difference between two population means µ, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H, sH2; a = 0.10. Assume o #o3 Sample statistics: X1 = 2413, s, = 177, n, = 13 and X2 = 2308, s2 = 55, n2 = 10 %3D Hạ: H1 H2 Find the standardized test statistic t.
If z is a standard normal random variable, then P (1.83 < z < 2.38) is:
Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find the mean four decimal places

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Using the given below, find the following: a) Find P(Y > 1| X = 1/2). b) Find P(X > 1/2 | Y = 1). c) Determine if the random variables are statistically independent.