For a normal distribution with m=70 and s=10 what is the minimum score necessary to be in the top 60% of the distribution?

Q: A vertical line is drawn through a normal distribution at z = -1.20. What proportion of the…

A: Given - z = -1.20 Graph will look like and need to the shaded region -

Q: What proportion of a normal distribution is located in the tail beyond z = –1.00?​

A: Here we have given already a standard normal distribution. We have given z-scores and from z-scores…

Q: Which proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Solution: Here, it is needed to find the proportion of a normal distribution is located between z=0…

Q: What proportion of a normal distribution is located between z= -2.00 and z = 2.00?

A: Draw the normal curve and shade the area between z=-2.00 and z=-2.00.

Q: Which describes a normal distribution with mean μ and variance o²?

A: here use basic of normal distribution curve

Q: For a normal distribution, the proportion of scores located between z = –0.70 and z = +0.70 is…

A: We have given that.    X~N( μ , ?^2 )    μ = 0    , ? = 1   Z-score =( x - μ )/?

Q: What proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: For a standard normal curve, find the probability a value has a z-score less than -2.

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: If a distribution is normal with μ = 10 and σ = 5, what is the z score of 20?

A:

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

A:

Q: For a standard normal distribution, the probability of z less than - 1.2 or greater than 0.62 is:

A: The z value are –1.2 and 0.62.

Q: A vertical line is drawn through a normal distribution at z- 1.20. What proportion of the…

A: Given, A vertical line is drawn through a normal distribution at z=1.20.

Q: Suppose the random variable xx has a normal distribution with μ=300μ=300 and σ=30σ=30. Find the…

A: Given: μ=300, σ=30.

Q: If P(Z>z1)=D0.10 in the standard normal distribution, which of the following is the closest value…

A: P(Z>z1)=0.10 z1=?

Q: What proportion of a normal distribution is located between the mean and z = 1.40?​

A: From the given information, Mean of standard normal distribution is zero and standard deviation is…

Q: For a normal distribution, find the percentage of data that are (a) Between u – 1.50 and u+ 1.50 %…

A: (a) The percentage of the data that are between μ-1.5σ and μ+1.5σ for a normal distribution is given…

Q: A normal distribution has a mean of u = 80 with o = 20. What score separates the highest 40% of the…

A: It is known that the mean μ=80 and the standard deviation σ=20.

Q: Assume that X is a random variable with a normal distribution. if the mean is 17 with a standard…

A:

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

A:

Q: For a standard normal distribution, find: P(-1.12 < z < -0.92) (round to 3 decimal places)

A: The z-score follows standard normal distribution.

Q: What proportion of a normal distribution is located between z = -1.25 and z = +1.25?

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: For a normal distribution with µ = 64 and σ = 9,

A:

Q: For a standard normal distribution, find: P(-1.29 < z< 2.6)

A: Answer - For a standard normal distribution               P( -1.29 &lt; z &lt; 2.6 )   = ?

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: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…

A:

Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

Q: For a standard normal distribution, find: P(z < -0.21)

A: From the provided information, P (z &lt; -0.21)

Q: For a normal distribution with a mean of 60 and a standard deviation of 10 find the proportion of…

A: Solution: Let X be the score. From the given information, X follows normal distribution with a mean…

Q: For a normal distribution, identify the z-score location that would seperate the distribution into…

A: Z- Score is the standardized value that provides the exact location of the values of X in the normal…

Q: Consider the standard normal distribution Z~N(0,1) Find the z-score for the 75th percentile

A: From the given information, It is given that the standard normal distribution Z~N(0,1), Thus,

Q: What proportion of a normal distribution is located in the tail beyond z = 1.50?

A: It is given that the z-score is 1.50. The proportion of a normal distribution is located in the tail…

Q: For a normal population with mean = 100 and population standard deviation = 20:   a.    What is…

A: Given Information: Mean μ=100 Standard deviation σ=20 (a) To find the proportion of X that is less…

Q: For a normal distribution with μ = 30, σ = 5 and z = -2, find the value of x

A: Given, Here, find the value of x.

Q: In a normal distribution for any normal random variable X, the probability that X is more than three…

A: GIven: x~Normal distribution(μ,σ)

Q: For the standard normal distribution, the mean is: O 1 and the standard deviation is zero O 0.5 and…

A: Solution: A continuous random variable X is said to have normal distribution if it's pdf is given by…

Q: 1. What is the 90th percentile of a t-distribution when the sample size is 1?

A: According to our policy we can answer only first part for remaining please repost the question.

Q: For a normal distribution with mean u =60 and standard deviation sigma = 10 find the proportion of…

A: The provided information are:

Q: For a normal distribution with a mean of μ=85and a standard deviation of σ=20, find the proportion…

A:

Q: Find the number z such that the proportion of observations that are less than z in a standard Normal…

A: To determine the real number z such that the probability  P(X&lt;z) = 0.5, where X is the random…

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

A:

Q: As the number of degrees of freedom for a t-distribution decreases, the difference between the…

A: Correct option is E E. Becomes larger

Q: For a standard normal distribution, find: P(-2.26 < z < -0.53)

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

Q: Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is…

A: Givenwe have a normal distribution N(2,4)Mean(μ)=2variance(σ2)=4standard deviation(σ)=4=2

Q: In a normal distribution, a data value located 0.7 standard deviations below the mean has standard…

A:

Q: Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at…

A:

Q: 4. What proportion of the normal distribution is located in the tail beyond z= -1.50?

A:

Q: For a normal distribution with μ = 30 and σ = 5, find the z-score corresponding to x = 42

A: According to the provided information, μ = 30 and σ = 5 x=42

Q: Find the quartiles of the Normal distribution having mean 60 and S.D 10.

A:

Q: 2. For a Normal Distribution where u = 3 and o = 3, where does approximately 95% of the scores fall…

A: Empirical rule :  According to empirical rule ,  1)68% of data falls within the first standard…

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!