Find the 69th percentile of the standard normal distribution.

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: Find the 38th percentile of the standard normal distribution.

A: Finding the 38th percentiles of the standard normal distribution In standard normal distribution…

Q: ) In a normal distribution, what is the z- score of an observation that is at the 39th percentile?

A: We have to find z score..

Q: what is a standard normal distribution?

A: Since you have posted a multiple question, we will solve first question for you.

Q: In the standard normal distribution, approximately what values of z correspond to the … first and…

A:

Q: For the standard normal curve, what percentage of data is located between ¥-2 0 and ¥+20?

A: Note: Thank you for the question. Since notations are not clear to us, we have considered it as μ-2σ…

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: Which graph represents a normal distribution? а. С b. В C. A d. D Which is true about the standard…

A: We have to choose the correct graph about Normal distribution.

Q: For a normal distribution, the first quartile corresponds with the 25th percentile.   A.) True B.)…

A:

Q: When finding the percentage of data in a given section of the normal curve, you are finding the…

A: here use basic of normal distribution

Q: What proportion of a normal distribution is located above the mean?

A: z-score: z-score is a standardized score which tells about how many standard deviations does a data…

Q: The given graph represents a population with a Normal distribution.

A: Normal distribution , also known as the Gaussian distribution, is a probability distribution that is…

Q: For a normal distribution, find the z-score that separates the highest 30% from the rest of the…

A: Given that P(z>z)=30%=0.3 P(z>z)+P(z<z)=1 P(z<z)=1-0.3=0.7 P(z<z)=0.7 From the Z…

Q: . Carry out an appropriate statistical test to determine if the variable D follows a Normal…

A: Consider, the mean and standard deviation values for the given values: L U Midpoint, x f x*f…

Q: Using the standard normal distribution, the Z- score representing the 97th percentile is 2.326. Teue

A: P(Z<z)=97% Is z=2.36 true or false?

Q: how to know if something is a normal distribution or not

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…

Q: Calculate the 65th percentile of the standard normal distribution. (Round to the hundredths).

A: we have to find out the 65th percentile of thestandard normal distribution.and we know that in…

Q: For a normal distribution, find the z-score location that divides the distribution that separates…

A: From the given information, It has been given that, P (Z<z) = 0.40 Using the inverse probability…

Q: A normal distribution is defined by two parameters, the mean and the __________. mode standard…

A: A normal distribution is defined by two parameters.

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

A: The required answer is below:

Q: Explain when a random variable might be modelled using a Normal distribution, and give an example of…

A: Mathematically, Whenever a random variable is formed by adding a number of other individual…

Q: The 90th percentile of the standard normal distribution is 1.645.  True  False The mean is a better…

A: Statement that the 90th percentile of the standard normal distribution is 1.645, is FALSE. Because…

Q: Find the following percentiles for the standard normal distribution. a) 79th b) 35th c) 55th

A: Percentile is a number where a certain percentage of scores fall below that number a) 79th…

Q: Draw a normal distribution.

A: We know that the normal distribution, P( μ - σ < X < μ + σ ) = 68% P( μ - 2σ < X < μ +…

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: The 90th percentile of the standard normal distribution is 1.645. a. true b, false

A: Let z be the 90th percentile of the standard normal distribution.Let,X be a random variable having…

Q: What is the skewness measure (b₁) of a normal distribution?

A:

Q: The sampling distribution of Pis closely related to the normal distribution. True or False

A: Here we will use Basics of sampling distribution

Q: 12. Find the variance of normal distribution.

A:

Q: What is the mean of the standard normal distribution?

A: We have to find given correct answer for Normal distribution..

Q: the standard normal distribution has a mean of

A: Solution: Let z is the standard normal distribution.

Q: Why does the mean accurately summarize a normal distribution? why does the mean inaccurately…

A: To summarize a normal distribution, the distribution is spread evenly on both sides of the curve. In…

Q: Find the 99th percentile of a normal distribution with mean 5 and variance 1. 1.28 .99 O 1.645 7.33

A: Given that mu =5,s.d =1,p value =0.99

Q: What proportion of scores are below z-score of a +1.00 in a normal distribution?

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: The 80th percentile of the standard normal (Z) distribution is 84. O True False

A: Step1: Given distribution is standard normal. i.e, Z~N(0,1) Hence, μ=0 and σ=1

Q: In a normal distribution, find the proportion of the population within one quarter of a standard…

A: The proportion of the population within one quarter of a standard deviation of the mean.…

Q: The sampling distribution of Pis closely related to the normal distribution. True or False True…

A: Central limit theorem   x̄ is the sample mean  and E(x̄)=μ and V(x̄)=σ2/n   Then  x̄ ~ Normal(…

Q: Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily…

A: The normal distribution curve is bell-shaped and is symmetrical about the line x = μ. The mode of…

Q: What is the difference between Normal and T-distribution?

A:

Q: Sketch the normal distribution with μ=4 and σ=1.

A: Given : μ=4 σ=1

Q: In a standard normal distribution 95% of the data is within +/- _______standard deviations of the…

A: In a standard normal distribution 95% of the data is within +/- _______standard deviations of the…

Q: Explain why the data set below does not resemble a normal distribution: 0, 0, 0, 2, 2, 4, 6, 8, 8,…

A: Given data set 0,0,0,2,2,4,6,8,8,8,9,10

Q: What is the axis of symmetry of the graph of the standard normal distribution?   Is it the vertical…

A: A standard normal distribution has two parameters: mean and standard deviation. Let X be a random…

Q: For the standard normal curve, find the z-score that corresponds to the 90th percentile.

A:

Q: A normal distribution curve is bell- shaped.

A:

Q: Use Table B to find the proportion of a Standard Normal distribution that is: below −1.42

A: From the provided information, The distribution is standard normal for which mean is 0 and standard…

Q: The 90th percentile of the standard normal distribution is 1.645.  True  False

A: For standard normal distribution, μ=0 and σ=1 90% percentile means, PZ≤90th percentile value=90%

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!