Answered: Q2: Let X and Y have a bivariate normal… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Q2: Let X and Y have a bivariate normal distribution with parameters 4, = H2 = 1,0f =
16,o = 25 andp =
1. The value of E(x|y) is
A. 63/75
A
В. 7/5
C. -7/5

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a) Let X be normal variate with a mean of 65 and standard deviation of 5. Find the value of a', if 1) P(X > a) - 0.75 i1) P(-a < X < a) = 0.6
6. (a) For the standard normal find the value z such that Pr(Z > z) = 0.1. (b) A random variable X follows a normal distribution with u = 70 10. Use your answer to (a) to calculate the value x such and o = that Pr(X > x) = 0.1.
5
4. The annual precipitation X in a city is modeled by a normal distribution with a mean value of ux = 125 cm and a coefficient of variation of 8g = 0.2. Determine the following: а) Р(100 ст
4. The annual precipitation X in a city is modeled by a normal distribution with a mean value of ux = 125 cm and a coefficient of variation of dx = 0.2. Determine the following: a) The standard deviation of X. b) Р(X150 cm) d) P(100 ст <Х< 140 ст) e) The value xo such that the probability of the annual precipitation exceeding xo is only 1/3 of that of not exceeding xo.
Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…
Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…
Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc
4.5-6 a b and c only
3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: 2. 1. 2. Y2-H2 exp 2no,02y1-p2 2(1-p2) {. (ज-र.) + ( ज-र) (ज-पदर) 07 (जब)} Dr= –00 < y, < ∞, -00 < y2 < ∞, Show that the marginal distribution of Y, is normal with mean µz and variance o is given by: 2, 1 f(y2) = 203 ,-00 < Y2 < ∞ 2.
Need help with part and b and c. I added the data and the question
1) A set of measurements is given as follows. X = [0, 0, 1, 0, 1, 0, 1, 0, 0, 1] We want to approximate the source of this data with Bernoulli distribution, i.e., X~Bernoulli(y), where y = p(X = 1). Approximate y based on the given data. Sketch the histogram of data and then normalize it.

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