11. In this exercise, you will learn about the 68-95-99.7 rule: Take the normal random variable...
Using only the 68-95-99.7 rule answer the following question. Let the variable Z be a z-score of a normal distribution. Calculate P(Z ≤ 3). Draw a picture of the situation first. Shade the area that corresponds to the desired proportion being sought. Please explain how you would use the 68-95-99.7 rule to solve this. If you can, how would you solve this using technology rather than the rule?
A characteristic of the Normal models is the 68-95-99.7 Rule. But when we want to work with values that don't match up with this rule, we use one of two built-in commands in the graphing calculator. The commands are normalcdf and invNorm, and to find these commands, go to 2"d DISTR and choose option 2 or 3. Notes for normalcdf: The command format is normalcdf(lower bound, upper bound, mean, standard deviation). We use this command when we are looking for...
The Empirical Rule is also known as the 68-95-99.7 Rule. Use the Z-score table to find what each of these numbers really is. To assist you, include a sketch and a probability expression for each case. Please show your work, thanks.
miben so with the 68-95-99.7 Rule) on the included normal distribution 1. Suppose exam scores form an approximately normal distribution that has 500 points and 100 points. Letter grades on the exam were distributed as follows: Ds made up 15% of the exam, Ca 59%, Bs 13.5%, As 2.5%, and the rest Fs. () If 1466 students scored 733 points or more, how many students took the exam? students (b) What are the point cutoffs for each letter grade? <A...
Answer the following question involving "The Normal Distribution and the 68-95-99.7 Rule" and show how I got the answers below. Answers: 1)a) 68% b) 47.5% c) 2.5% 2) 12 or 13 people Questions: 1) A population of dogs have weights that are normally distributed with an average of 30 pounds with a standard deviation of 3 pounds. a) What percent of the dogs weigh between 27 and 33 pounds? b) What percent of the dogs weigh between 30 and 36...
Q2. The applications of the 68%-95%-99.7% Empirical Rule and Chebbysheff's Theorem (1) Please use your words to explain what is the 68%-95%-99.7% empirical rule. (2) Please use your words to explain what is the Chebbysheff’s Theorem. (3) Now, suppose there is a normally distributed data set with the mean of 30 and the standard deviation of 5, what can you say about the proportions of observations that lie between each of the following intervals: (i) 25 and 35? (ii) 20...
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.24 ≤ z ≤ 2.64) = Shade the corresponding area under the standard normal curve.
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.22 ≤ z ≤ 2.61) = Shade the corresponding area under the standard normal curve.
100% Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(-2.18 SZS -0.45) - Shade the corresponding area under the standard normal curve.
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.02 ≤ z ≤ −0.40) = Shade the corresponding area under the standard normal curve. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot