What is the approximate probability that in a normal distribution an observation is a) more than 2 standard deviations greater than the mean, b) more than 1 standard deviation below the mean, c) greater than 3 standard deviations away from the mean, d) and within 2 standard deviations of the mean?
What is the approximate probability that in a normal distribution an observation is a) more than...
1) Given a standard normal distribution, find the probability of having a z score higher than 1.67 ```{r} ``` 2) Given that test scores for a class are normally distributed with a mean of 80 and variance 36, find the probability that a test score is lower than a 45. ```{r} ``` 3) Given a standard normal distribution, find the Z score associated with a probability of .888 ```{r} ``` 4) Find the Z score associated with the 33rd quantile...
1. True or False: (1pt each) (T) (F) If a distribution is normal, then it is not possible to randomly select a value that is more than 4 standard deviations from the mean. (T) (F) Normal distribution is a discreet probability distribution for a random variable. (T) (F) If the variable follows a binomial distribution, then about 68 % of the variables are within 1 SD of the mean, about 95% of the variables are within +2 SD of the...
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ and μ+3σ μ + 3 σ (b) Between 2 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than μ−1σ μ − 1 σ Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
Find the probability of an observation lying more than z = 0.5 standard deviations below the mean. Group of answer choices 0.3085 0.6915 0.1915 -0.50
(1 point) For a normal distribution, find the probability of being (a) Between u - 20 and 4 + 20 (b) Between 1.5 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than u - 30 Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
Using the Empirical Rule, approximately how much probability is less than -1 AND greater than +1 standard deviations from the mean of normal distribution with mean mu & standard deviation sigma?
Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population...
57 standard normal probability distribution function The staand σ 1) is graphed in the standard (x,y) dinate plane below. Which of the following cclosest to the percent of the data points within 2 standard deviations of the mean in (H percentages is that are any normal distribution? ceare 0.5 0.2 A. 50% B. 68% C. 90% D. 95% E. 99% 3 2 1 -0.2 standard normal probability distribution function The staand σ 1) is graphed in the standard (x,y) dinate...
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.