Assuming a normal distribution with a true mean of 80.3 Pascals and a standard deviation of 2.3 Pascals, what is the probability (in percentage) that future measurements will fall above 83.5 Pascals?
Here, X ~ Normal(mean = 80.3, sd = 2.3).
We know, (X - 80.3)/2.3 = Z ~ Normal(mean = 0, sd = 1).
Now, Prob.(X > 83.5) = P(Z > (83.5 - 80.3)/2.3) = P(Z >
1.3913) = 0.0821 = 8.21%.
Assuming a normal distribution with a true mean of 80.3 Pascals and a standard deviation of...
Assuming a normal distribution with a true mean of 17.06 Inches and a standard deviation of 0.21 Inches, what is the probability (in percentage) that future measurements will fall above 16.95 Inches?
Assuming a normal distribution with a true mean of 50 Newtons and a standard deviation of 1.8 Newtons, what is the probability (in percentage) that future measurements will fall below 48.58 Newtons?
Assuming a normal distribution with a true mean of 300.3 Grams and a standard deviation of 7.1 Grams, what is the probability (in percentage) that future measurements will fall below 309.9 Grams?
Assuming a normal distribution, what percentage of measurements will fall within the range of the mean ± 2 σ, where refers to the population standard deviation?
A normal distribution has a standard deviation equal to 25. What is the mean of this normal distribution if the probability of scoring above x = 191 is 0.0228? (Round your answer to one decimal place.)
Assume that a normal distribution of data has a mean of 20 and a standard deviation of 5. Use 68 - 95 - 99.7 rule to find the percentage of values that lie above 15. What is the percentage of values lie above 15?
In a normal distribution of measurements having a mean of 500 feet and a standard deviation of 50 feet, what percent of the distribution falls between 490 and 520 feet?
1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the probability that x is less than x0 is p0 = 0.95 what is the value for x0. 2.Giving a normal distribution with mean mu=35 and standard deviation sigma =10 where the probability that x is greater than x0 is 0.10. 3. Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the...
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...