If a normal distribution has a Mean of 26 and a Standard Deviation of 3.1. Find the probability of a score above 32.

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given information Mean µ = 150 Standard deviation σ = 10

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given,   Mean = 150 Standard deviation = 10

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: If you know that the variance of a normal distribution is 50, then to the nearest whole number, what…

A:

Q: Given a normal distribution with a mean of 150, and a standard deviation of 7.5, find the value of a…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: consider a normal distribution with a mean of 500 and a standard deviation of 50. a. Below what…

A: Data given  X~N(μ=mean=500, standard deviation=σ=50)

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…

A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…

Q: Assume that a normal distribution of data has a mean of 11 and a standard deviation of 3. Use the…

A: Given : for a normal distribution of data, mean = 11   and standard deviation = 3  To find the…

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A.…

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

Q: If the variance of a distribution is 16, the standard deviation is?

A: Solution: From the given information, the variance of a distribution is 16.

Q: The empirical rule relates the standard deviation of a population to the probability of where a data…

A: The given statement  rule relates the standard deviation of a population to the probability of where…

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Let X be a continuous random variable is normally​ distributed with a mean of 150 and a standard…

Q: The mean score for a test is 87 with a standard deviation of 12.  Assuming a normal distribution for…

A: Given,mean(μ)=87standard deviation(σ)=12

Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: Given a normal distribution with mean = 100 and standard deviation = 10, what is the probability…

A: The distribution of X is a normal distribution as follows X~N(100, 10)

Q: Given a distribution with a mean of 90 and a standard deviation of 10, what is the probability of…

A: Given Information: μ=90 σ=10 x1=85 x2=110

Q: the time it takes a student to complete the statistics exam follows a normal distribution with a…

A:

Q: The spending at Target is distributed normally with a mean spending of $45.67 and a standard…

A: According to the provided information, mean = $45.67  standard deviation = $5.50

Q: For the binomial​ distribution, which formula finds the standard​ deviation?

A: Consider the terms for any binomial distribution.

Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…

A: The probability between two specific numbers a and b in a normal distribution with mean μ and…

Q: Based on the graph of this normal distribution. a) The mean is _____ .  b) The standard deviation…

A:

Q: Given a normal distribution with μ=45 and σ=5​   For this​ distribution, 9​% of the values are…

A:

Q: The spending at Target is distributed normally with a mean spending of $47.67 and a standard…

A:

Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data

A:

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x 93)? O A.…

A:

Q: The empirical rule relates the standard deviation of a population to the probability of where a data…

A:

Q: In a normal distribution, what percentage of the population lies with-in 1 standard deviation of the…

A: In a normal distribution, there are predefined percentage of the population which lies in 1 standard…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 47)? OA.…

A:

Q: If you draw a sample of 200 from a normal distribution and using the Empirical Rule; how many data…

A: Given dataSample size(n) = 200In normal distribution, as per empirical formulaApplying empirical…

Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?

A:

Q: If a normal distribution has a mean of 18.0 and a standard deviation of 1.2, what value is at the…

A: We have given that normal distribution has a mean of 18.0 and a standard deviation of 1.2.

Q: The mean in a given set of data is 10.00 and the population standard deviation is 2.50. If the data…

A: The kth percentile implies the value, below which k of the total observations lie.

Q: A normal distribution has a mean of 98 and a standard deviation of 9. Find the z-score for a data…

A: Consider the given:  Formula for z score- z=Value − meanStandard deviationIt is given…

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: Given that we have a normal distribution with mean 73 and standard deviation of 13 for an English…

A:

Q: If a normal distribution has a mean of 35 and a standard deviation of 5, then The median is 35 and…

A: We know that normal distribution is symmetricaldistribution .i.e mean=median=mode

Q: The standard deviation of a normal random variable X is $50 . Given that P(X ≤ $40) = .25, what is…

A: Given data,σ=50x=40P(X ≤ $40) = .25μ=?

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: If a normal distribution has a mean of 60 and a standard deviation of 5, complete the normal…

A:

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: The mean of a distribution is 50 and the standard deviation is 6. Using the empirical rule, find the…

A:

Q: A normal distribution has a mean of 77 and a standard deviation of 6. Find the z-score for a data…

A: z score: Consider X as a normally distributed random variable, with mean μ and standard deviation…

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 average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Given: Average=74 Standard deviation=7 z value for 88th percentile z=1.18(consulting the table…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.