QUESTION 3 10 p Suppose x, Y, and C represent the length, width, and perimeter of...
Suppose X, Y, and C represent the length, width, and perimeter of a flat rectangular sheet metal part. Note that X is a normal random variable having a mean of 15 cm and a standard deviation of 1 cm, and Y is independent of X and normally distributed with a mean of 25 cm and a standard deviation of 2 cm. Determine the following. Determine Pr(C>83).
10. (5pt) Suppose that X and Y are two normally distributed random variables. X has mean 2 and standard deviation !5 Y has mean 5 and standard deviation 3. Their correlation is 0.6. What is the mean and standard deviation of X + Y? What is the distribution of X+ Y? What if X and Y are jointly normally distributed? What if they are not jointly normally distributed? Explain your answer.
i want the step by step explanation. Thank you!!! The following data represent the lengths (in cm) of a sample of 10 metal strips produced by a machine. It is given that the lengths of the metal strips produced by the machine are normally distributed. 48.3 48.6 49.2 49. 8 50.0 50.2 50.4 50.4 50.5 50.7 - con (a) Construct a 95% confidence interval for the mean length of the metal strips produced by this machine. Correct your final answers...
Please answer this question Suppose X is normally distributed with mean 1 and standard deviation 0.25, and Y... Suppose X is normally distributed with mean 1 and standard deviation 0.25, and Y is also normal with mean 1.5 and standard deviation 0.4. Suppose that X and Y have correlation coefficient 0.6. Find the following probabilities: (a) P(X 2 1.3) (b) P(X+y-2.5) (c) P(X +Y 2 3) (d) P(Y - X so) (e) P(Y <X)
Questions 6.34 points Save Answer The length X of shoelaces produced at a factory is normally distributed with mean 110 cmand standard deviation 8 cm. What is the probability that the shoelaces will be between 104cm and 120 cm long? A 66 84 33.16 0.22.60 None of the above Moving to the next question prevents changes to this answer Questions of 15
Question 3 (1 point) Suppose the length of pregnancies from conception to birth is normally distributed with mean 266 days and standard deviation 16 days. (a) What is the shortest pregnancy length that is in the top 7%? Z-score(s): final answer: (b) Between what two lengths do the middle 70% of pregnancies lie? Z-score(s): final answer: A/ (c) What pregnancy length represents the 45th percentile? Z-score(s): final answer:
please lease solve all questions. 2. Consider the following two variables X and Y: 4 a. (2 pts) Find the mean of X, and mean of Y b. (2 pts) Find the standard deviation of X, and standard deviation of Y C. (3 pts) Find the covariance between X and Y d. (2 pts) Find correlation coefficient between X and Y and comment on your answer. 3. The following table shows a random sample of 100 hikers and the areas...
3. Suppose that X is normally distributed with mean 75 and standard deviation 10. Determine the following: a) P(X > 90) b) P(X> 60) e) P(65 <X < 75) d) Find the value for α that satisfies the equation P(75-α < X < 75+a) = 0.80128.
3. Suppose you are interested in determi Let X - weight (pounds) of a randomly selected Cavalier King ds and population you know that X is normally population mean standard deviation ơ 0.8 pounds. ning the mean weight of Cavalier King Charles Spaniel dogs. y distributed with population mean μ = 16.5 pounds and population a. Completely specify the sampling distribution for a sample size of 4, i.e. show XN(H, ) What percentage of groups of 4 Cavalier King Charles...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....