79 Answered Questions for the topic Normal Distribution
what percent of these differ from the population mean(nomal distribution)
if a set of observations is normally distributed, what percent of these differ from the population mean by more than 0.96σ, where σ is the population standard deviation.
Population distribution question for college statistics
A population of values has a normal distribution with μ=82.6 and σ=56.2. You intend to draw a random sample of size n=223.Find P9, which is the score separating the bottom 9% scores from the top... more
Please help with statistics
A population of values has a normal distribution with μ=156.9 and σ=92.2. You intend to draw a random sample of size n=195.Find the probability that a single randomly selected value is between... more
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the x-score that corresponds to a z-score of 2.45.
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 22.2 and the standard... more
Answer in details for 10marks
(ii) a) 36 out of 100 persons interviewed are familiar with the tax incentives given by the government for installing solar panels, construct a 96 % traditional confidence interval for the... more
what if in a given word problem concerning normal distribution, the values of the score (X) and the mean are missing and are required to be solved, how will you solve it? What if the word problem... more
In a given word problem, it is customary that all values are given. In the case of a word problem with normal distribution, it is common that the values of the score, the mean, and the... more
Data Management Normal Distribution Probability
The heights of 16-month-old oak seedlings are normally distributed with a mean of 31.5 cm and a standard deviation of 10 cm. What is the range of heights between which 5 % of the seedlings will... more
Data Management Probability, Standard Deviation, and Normal Distribution Question:
Hi, how would i get started on solving this question? The average monthly rainfall in Southern California is 26 mm. If rainfall data over the year is normally distributed with a standard deviation... more
How can I estimate the probability of a random variable from one population being greater than all other random variables from unique populations?
Lets assume I have samples from 4 unique populations. Let's also assume I have a mean and standard deviation from each of these populations, they are normally distributed and completely independent... more
probability in statistics
The number of hours an American adult sleeps each night follows a Normal distribution with an average of 6.9 hours per night with a standard deviation of 0.68 hours. If we randomly select one... more
what is the z score?
the number of hits a particular website receives in a day is normally distributed with a mean of 6250 hits and a standard deviation of 480 hits. what is the Z score for a day in which the website... more
Probability & Distribution question
Thank you so much!! I really want to master this unit :(
Have a final pleaseee help
In a normal distribution with mean 850 in standard deviation 120 find the probability that a data value picked at random is greater than 1169show work!
SAT scores: The College Board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen.
SAT scores: The College Board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. a. What is the probability... more
Baby weights: According to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States...
Baby weights: According to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States is normally distributed with mean 11.5 pounds and... more
Inverse normal distribution
The SAT test is a test taken by any students to enter college. THe mean of the math section is 500 with a standard deviation of 100. The scores are normally distributed. What score is the cutoff... more
Normal Distribution and Z scores
The SAT Mathematics are know to follow an approximate normal distribution with a mean of 500 and a standard devation of 100. The ACT Mathematics are known to follow an approximate normal... more
percentage of population and probability of coin toss
hello there,I would to help me how to solve these two problems. 1- Assume the world human population heights follow a perfect normal distribution with standard deviation of 20 and mean of 150, what... more
Normal Distribution Question
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 = 4; σ = 2P(3 ≤ x ≤ 7)
How do I find the probability that X is greater than 16.1
assume that X has a normal distribution, and find the indicated probabilityThe mean is 15.2And standard deviation is 0.9Find the probability that X is greater than 16.1
The life of a Radio Shack record player is normally distributed with a mean of 3.2 years and a standard deviation of 0.8 years. Radio Shack guarantees its record players for 2 years.
(a) Find the probability that a record player will last less than 2 years?(a) Find the probability that a record player will last more than 4 years?
Battery manufacturers compete on the basis of the amount of time their products last cameras and toys. A manufacturer of alkaline has observed that its batteries last for an average of 26 hours... more