TOPIC:Normal distribution.
A normal probability distribution a. has a standard deviation of 0. O b. must have a...
Describe the standard normal distribution. What are its characteristics? Choose the correct answer below. O A. The standard normal distribution is a normal probability distribution with mean u = 0 and standard deviation o = 1. Similar to any normal probability distribution, it has associated with it a bell-shaped curve, symmetric about a vertical line through u with inflection points at o and -o. The Z-scores theorem, along with a table of areas under this standard normal curve can be...
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...
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a value selected at random from this distribution is greater than 25? (Round your answer to two decimal places.) 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 = 14.9; σ = 3.5 P(10 ≤ x ≤ 26) = Need Help? Read It Assume that x has a...
Given a standardized normal distribution (with a mean of O and a standard deviation of 1), complete parts (a) through (d). 5 Click here to view page 1 of the cumulative standardized normal distribution table. E: Click here to view page 2 of the cumulative standardized normal distribution table. The probability that Z is less than 1.51 is 0.9344. (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.89? The probability that...
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]
If a normal distribution has mean 34.31 and standard deviation 1.25, then the z-value for this mean is: A) 27.45 B) 0 C) 34.31 D) 42.89
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.) H = 48; 0 = 16 P(40 sxs 47) = 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.) u = 14.6; 0 = 3.3 P(8 SX s 12) = Assume that x has a normal distribution with the...
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). a. What is the probability that Z is less than 1.03? b. What is the probability that Z is greater than −0.26? c. What is the probability that Z is less than −0.26 or greater than the mean? d. What is the probability that Z is less than −0.26 or greater than 1.03?
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1) complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table, Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.57 and 1.83? - The probability that Z is between 1.57 and 1.83 is (Round to four decimal places as needed.) particular train...
16. The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. a. What is the area between 415 pounds and the mean of 400 pounds? . a. .4332 b. .1915 c. .3085 b" What is the area between the mean and 395 pounds? .с. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?