Please answer this question
Suppose X is normally distributed with mean 1 and standard deviation 0.25, and Y...
Please answer this question Suppose X is normally distributed with mean 1 and standard deviation 0.25,...
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.
A) Suppose X is normally distributed with mean 10 and standard deviation 2. Then P(X > 15) = P(Z > __) where Z is standard normal. (Fill in the blank.)
sorry R is 8 Question 5 10 marks (a) . Suppose X is a normally distributed random variable with a mean of 15 and a standard deviation of 2.34+G Find the following probabilities. Correct your answers to 4 decimal places. (1) (ii) P(X > 14.5) P(15.3 < X < 16.8) (2 marks) (3 marks) (b) Suppose X is the sample mean of 10 observations selected randomly from a normal distribution with a mean of 15 and a standard deviation of...
20.Suppose x is normally distributed with mean 2,825 and standard deviation 250. Find P(2,700 ≤ x ≤ 3,200).
Suppose that the monthly return of stock A is approximately normally distributed with mean µ and standard deviation σ, where µ and σ are two unknown parameters. We want to learn more about the population mean µ, so we collect the monthly returns of stock A in nine randomly selected months. The returns are given (in percentage) as follows: 0.3, 1.3, 1.5, −0.6, −0.2, 0.8, 0.8, 0.9, −1.2 Answer the following questions about the confidence intervals for µ. (a) Construct...
Suppose X is normally distributed with mean μ and standard deviation σ. Then the first quartile for X is given by: A.) 0.25(x-u)/o B.) u-0.675o C.) 0.5u D.) u-0.25o
Suppose a random variable X is normally distributed with mean 69.8 and standard deviation 8. Answer the following questions: P(X = 74.60) = ? [round to 4 decimal places]
Suppose a random variable X is normally distributed with mean 66 and standard deviation 7.6. Answer the following questions: a) P(46.24 < X < 71.32) = b) P(X ? 75.12) = c) P(X = 71.32) = d) Suppose a is such that: P(X ? a) = 0.56. Then a = e) What is the IQR (inter-quartle range) of X?
Suppose X is a normally distributed random variable with mean 67 and standard deviation 13. Then P ( 47 ≤ X ≤ 84 ) is roughly
-Suppose the birth weights of full-term babies are normally distributed with mean 3700 grams and standard deviation of 490 grams. a. Draw a normal curve with the parameters labeled and shade the region that represents the proportion of full-term babies who weigh more than 4680 grams. b. Find the proportion of full-term babies who weigh more than 4680 grams. -Find each of the following. Include a diagram for each: a. Find the z-score such that the area under the standard...