If you know that the variance of a normal distribution is 50, then to the nearest whole number, what is the standard deviation? 2,500 25 10 5n

Q: Find the Mean, Variance, and Standard Deviation (round off to two decimal places)

A: Given: No. of students, n=50 Scores of students 78 95 91 78 91 83 80 99 93 91…

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: The standard error of the mean is the standard deviation of a theoretical sampling distribution. the…

A: We know that- Standard error of the mean is given by- SE=σn

Q: In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What are the…

A:

Q: Suppose you have a normal distribution with a mean of 10 and a standard deviation of 2.…

A: According to the given information, we have Given that the normal distribution with a mean of 10 and…

Q: A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that…

A: From the provided information, Mean (µ) = 15 Standard deviation (σ) = 2 X ~N (15, 2) The z value…

Q: Imagine the average score on an exam ends up being 71 with a standard deviation of 10. If scores are…

A: From the given information, let us define the random variable X as the scores of an exam follows…

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A:

Q: Find the standard deviation if the mean = 2, mode = 5, variance = 56 . Round your answer to three…

A: We have given that,  Mean (x̄) = 2 , mode (z) = 5 and variance        (s^2) = 56 Then,  We will find…

Q: The deviation of an entry x in a population data set is the difference between the entry and the…

A: Note: Hi there! Thank you for posting the question. It is considered that the deviation is taken…

Q: In a normal distribution, find the mean when standard deviation is 6 and 3.75% of the area lies to…

A: From the provided information, Standard deviation (σ) = 6 3.75% of the area lies to the left of 85.…

Q: Assume that Math test scores are normally distributed with a mean of 200 and a standard deviation of…

A: The provided information is  The mean and standard deviation is  µ=200 σ=40 P(X<120)=?…

Q: art professor gives an A to any student in the top 9% of the distribution. The grades are normally…

A: Given X~N(mean μ=60, standard deviations σ=5) P(X>b)=9%

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

A:

Q: Suppose final exam scores for a college class follow a Normal distribution with mean 80 and standard…

A: Mean()=80standard deviation()=5

Q: In your two sets of Statistics tests, find the mean of the number of tests that will be passed. 1.…

A: Given: The provided dataset is given as: Number of passed test (x) Probability P(x) 0 0.25 1…

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: If a distribution has a mean of 35 and a standard deviation of 5, what value would be +1.5 standard…

A: Given that The value of mean of 35, Standard distribution of 5 and that correspond s to a z-score of…

Q: A population is normally distributed with a mean of 20.  What is the population standard deviation…

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Q: What is the relationship between the variance and the standard deviation for a sample data set? A.…

A: Variance: Variance is defined as a measure of variability to represent members of a group. The…

Q: If a student scored 77 points on a test where the mean score was 84.5 and the standard deviation was…

A: Solution: Let X be the score of a student. From the given information, X has a mean µ=84.5 and a…

Q: ASK YOUR TEACHER   A normal distribution has a mean of 85.3 and a standard deviation of 4.84. Find…

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Q: How many of the sample of families would fall above 2 standard deviations from the mean? A. 0 B. 1…

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Q: In a normal distribution, x = 5 and 2=-1.25. This tells you that x = standard deviations to the…

A: According to the given information, we haveThe value of raw score is The value of the z-score is

Q: A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that…

A: The mean is 15, and standard deviation is 2. That is, μ=15,σ=2. Let x be the value that corresponds…

Q: In a normal distribution, it is found that the mean is 56 and the standard deviation is 5, Find the…

A: We want to find the range of the values

Q: The variance and the standard deviation are related by the fact that the square root of the variance…

A: We know that,standard deviation=variancegiven variance =0.8

Q: Students in a class took a test whose results were normally distributed.  The mean score was an 81…

A: Students in a class took a test whose results were normally distributed.  The mean score was 81 and…

Q: In a normal distribution, what percent of the data lie below 1 standard deviation of the mean? Round…

A: Solution: The empirical or three-sigma rule states that almost all the observation values lie within…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!