Using the simplified version of the normal distribution, what percentage of the cases falls within 2 standard deviations to the left of the mean?

Q: How to know if a histogram is a normal distribution

A: In general, the graph of the normal distribution is bell-shaped and symmetric. Here, bell shape of…

Q: About what percent of a values from a normal distribution lie within one standard deviation (left…

A: Normal distributionWhat percent of values lie within one standard deviation of the mean ?

Q: What percentage of the data will fall between 1 standard deviation below the mean and 2 standard…

A: P(-1<z<2)=?

Q: The weight of a type of dog follows Normal distribution with mean of 10 pounds and standard…

A: It is given that the mean and standard deviation are 10 and 2.

Q: Explain the key features of a normal distribution

A: Normal Distribution :  The normal distribution is also called as Gaussian distribution. It is made…

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: A normal population has a mean= 61 and standard deviation=16. what proportion of the population is…

A: From the provided information, Mean (µ) = 61 Standard deviation (σ) = 16 X~N (61, 16)

Q: What is the mode of a distribution of scores for a variable measured by? What is the variance of a…

A: Let us take a small dataset with frequency distribution and understand all the terms with this…

Q: Describe about the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: how do you find the standard deviation when the score is 9 points above tthe mean?

A: = population standard deviation = the size of the population = each value from the population =…

Q: Find the proportion of scores greater than 70 mean is 90 standard deviation is 10

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: What proportion of scores of a normal distribution is less than  z = - 2.15?

A: Obtain the proportion of scores of a normal distribution is less than z = – 2.15. The proportion of…

Q: What proportion of the scores in a normal distribution falls below z= -1.32?

A: Let X ~ N(0,1). Then, P(X<-1.32)=P(X>1.32)  [ As X is symmetric about…

Q: Describe about Sources of variability for ANOVA and the F ratio.

A:

Q: Adding 10 points to every score in a distribution will not change the value of the standard…

A: To add 10 numbers to every score in a distribution will not change the value of the standard…

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: You cannot assume that a random sample taken from a population  follows a normal distribution if the…

A: Answer:- Normal distribution:-

Q: During the first day of classes for the second semester, the Statistics and Probability teacher of…

A: Answer : - Given data  sample size n = 100                  Sample mean x  = 80.68,   Population…

Q: The distribution of sample means tends to be a normal distribution. true or false?

A: This question explores the characteristics of the distribution of sample means. Specifically, it…

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: isn't it should use the normal table to find z value?

A:

Q: TRUE OR FALSE: the standard deviation describes the average deviation between the individual scores…

A: The standard deviation is a measure of dispersion. It measures the data on how much they have…

Q: ly normal and has a standard deviation of 88% of students scored above a 800. What is the mean of

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…

A: Given that  What are the characteristics of a normal distribution?   What two characteristics make a…

Q: Mean is 235, standard deviation is 52, what is the percentile of a raw score of 28

A: Mean Standard deviation

Q: The scores on a test are normally distributed, with a mean of 82 and standard deviation of 5. What…

A: Let  X be the random variable from normal distribution with mean (μ) = 82 and standard deviation (σ)…

Q: et's assume that the height of adult women in the United States follow a normal distribution with…

A: given data, normal distributionμ=64.5σ=3.197.5th percentile for given data=?

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!