Please answer all parts of the question. The question is on predictive analytics and specifically about OLS estimators.
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Consider the Model 𝑦=𝛽0𝑥𝛽1𝜆𝜀, where 𝜀 is a random variable that follows a normal distribution with a mean of zero and a standard deviation of 𝜎, and 𝜆>0 is a constant number.
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a. What is the probability that the value is less than 80? The probability that the value is less than...
A random variable follows the normal probability distribution with a mean of 80 and a standard deviation of 20. Determine the probability for a randomly selected value from this population in parts a through d below. a. is less than 90 b. is less than 65 c. is more than 110 d. is more than 40.
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view.pa a. What is the probability that the value is less than 80? The probability that the value is less than 80 is (Round to four decimal places as needed.) b. What is the probability that the value is less than...
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a. What is the probability that the value is less than 80? The probability that the value is less than...
help Assume a random variable Z has a standard normal distribution (mean 0 and standard deviation 1). Use all decimal places from the Normal Table. Your final answers to 4 decimal places. a) The probability that Z lies between 1.55 and 1.86 is Select b) What is the value of Z if only 1.5% of all possible Z values are larger? Select]
Consider a standard normal distribution (a mean of zero and a standard deviation of 1.) What percentage of this distribution is found in each of the following regions? Select the most apropriate answer from the drop down list. Region: Z > -1.13 87 20 0 % (options are 87,20, or 0) Region: Z < 0.18 81 71 57 % (options are 81,71, or 57) Region: Z > 8 0 16 99 % (options are 0, 16, or 99) Region: |Z| < 0.5 100 38...
Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z > -1.1)? -0.8643 0.8643 -0.1357 0.1357 If all possible random samples of size n are taken from a population that is not normally distributed, and the mean of each sample is determined, what can you say about the sampling distribution of sample means? It is approximately normal provided that n is large enough. It is positively skewed. It is negatively skewed. None of...
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?