What is the axis of symmetry of the graph of the standard normal distribution?   Is it the vertical line that goes throuth 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: Describe the standard normal distribution. What are its characteristics?

A: Standard normal distribution curve is given.

Q: Quartering a positive mean (dividing by 4) has what effect on the normal curve?

A: The normal distribution: A continuous random variable X is said to follow normal distribution if the…

Q: State the properties of s normal distribution.

A: Normal distribution- when mean is 0 and standard deviation is  1 is called standard normal…

Q: The probability of any one particular value in the normal distribution

A: The probability value always lies between 0 and 1 for any distribution.

Q: What is the best way to evaluate the normal approximation of the variable? Scatter plot. Normal…

A: The objective of the question is to identify the best method to evaluate the normal approximation of…

Q: In the standard normal distribution, find the  z  value that corresponds to the  81st  percentile.

A: Given, find z for 81th percentile

Q: Find the 60th percentile of the standard normal distribution and draw the bell curve( round to the…

A: we have to find 60 th percentile..

Q: What is the special property of the standard normal distribution?

A: Standard normal distribution: The total area under the density curve is equal to 1.

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: The standard normal distribution has a mean of zero and a standard deviation of one. TRUE or FALSE

A: A standard normal distribution has a mean zero and standard deviation is one is called as standard…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: What are 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: 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: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: What proportion of percentage of the normal distribution lies above z=-1 ?

A: Let Z ~N(0,1). Then, the proportion of the normal distribution lies above z=-1 is P(Z>-1).

Q: Explain the Normal Distribution? Also Define normal distribution for a single variable?

A:

Q: In a normal distribution, what percentage of the area under the curve is within three standard…

A: We have given the following statement about normal distribution.

Q: What is the median of a continuous random variable? What is the median of an exponential…

A:

Q: For the standard normal curve, identify the z-score that corresponds to the 33rd percentile.

A: standard normal distributionZ~N(0,1)identify z score that corresponds to 33rd percentile

Q: Find the 50th percentile of the standard normal distribution and draw the bell curve?

A: The required answer is below:

Q: Statisticians believe that if a test is valid, it should follow a normal distribution with a mean of…

A: Statisticians believe much time if the test is valid it follows Normal Distribution many times but…

Q: Find the​ Z-scores that separate the middle 50​% of the distribution from the area in the tails of…

A: We have to find the Z-scores that separate the middle 50​% of the distribution from the area in the…

Q: For a normal distribution, the mean is equal to the median. True False

A: The Normal distribution is Symmetric distribution. So,  Mean = Median = Mode.

Q: Identify if its true or false A normal distribution is symmetrical at the mean, i.e. the left side…

A:

Q: What proportion of a normal distribution is located between the mean and z = -0.47?

A:

Q: Find the​ Z-scores that separate the middle 64​% of the distribution from the area in the tails of…

A: Given information- We have given that middle area of the distribution is 64%. By using the standard…

Q: Calculate the z-score representing the top 30% of a normal distribution. (Use a table or technology.…

A: Z-score One can identify the proportion of the distribution beneath and above a raw score using the…

Q: true or flase. the chi-square distribution, just like the normal distribution, has two parameters,…

A: It is an important part of statistics. It is widely used.

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!