Given a normal distribution with μ=45 and σ=5​   For this​ distribution, 9​% of the values are less than what​ X-value?

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: A normal distribution has a mean of u = 18 with o= 4. Find score (X) needed to be in the bottom 29%…

A:

Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≥ 90?

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Q: What is the z-score for an exam mark of 80

A: Given that μ = 71 and σ = 6 And we have to find the z score for an exam mark of 80.

Q: From a normal distribution with μ = 80 and σ = 8, what proportion of the curve lies at X ≤ 72?

A: For a normal distribution, Mean = 80 Standard deviation = 8

Q: The grades in an exam have a normal distribution with μ=75 averages and σ=8 standard deviation. The…

A: From the given information, Consider, X be the random variable that denotes grades in the exam which…

Q: A normal population has a mean μ = 34 and standard deviation σ = 10. What proportion of the…

A: normal distribution μ = 34σ = 10 P(x<51) = ?

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

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Q: Find the X value corresponding to z = +0.75 for a distribution with population mean of 90 and…

A: Solution: From given information, µ=90, σ=12 and z=0.75.

Q: find the 80th percentile of a normal distribution where x=n(50,10)

A: Step 1:Find the 80th percentile of a normal distribution.X∼N(50,10)=X∼N(μ,σ)Step 2:Find the Z-score…

Q: A normal distribution has a mean of µ = 200 with σ = 20. If a vertical line is drawn through the…

A: Let X be a random variable such that X~N200,202

Q: Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What percent of IQ scores…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

Q: Below is the graph of a normal distribution with mean = standard deviation o = 84 and 2.4

A: Given Information: A graph of a normal distribution with mean μ = 84 and standard deviation σ=2.4 To…

Q: What percentage of a normal distribution falls between z = -1.16 and z = +1.16?

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

Q: Solve and sketch the problem. Given a normal distribution with population mean is 21 and population…

A: Let X be the random variable from normal distribution with mean (μ) = 21, variance (σ2) = 64 then…

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: What proportion of a normal distribution is located between the mean and z= -1.56? (a) .9406 (b)…

A: Z score = -1.56

Q: Draw the normal curve. Given a normal distribution with population mean is 21 and population…

A: Solution-: Given: μ=21,σ2=64 ∴σ=8 We find x such that, P[X>x]=0.51

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: Suppose that x has a normal distribution with mean ? = 50 and standard deviation ? = 5. Find P(x >…

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Q: For a t distribution with 15 degrees of freedom, 90% of the distribution is within how many standard…

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Q: A normal distribution has a mean of µ = 24 with σ = 3. What is the minimum score needed to be in the…

A: given data  normal distribution μ = 24σ = 3 to be in top 14% minimum required score = ?

Q: Using z-scores, a population with u = 37 and o = 6 is standardized so that the new mean is u = 50…

A: Given

Q: A normal distribution has a mean of µ = 40 with σ = 10.   What proportion of the scores in this…

A: Obtain the standard z-score for the random variable equals 55 The standard z-score for the random…

Q: a normal distribution has a mean of u=60 with o=8. for this population, which is the x value that…

A:

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: A normal distribution has a mean of µ = 200 with σ = 20. If a vertical line is drawn through the…

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 that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

A: Number of drivers who claim that they always buckle up, x=310. Number of drivers who were surveyed,…

Q: A vertical line drawn through a normal distribution at z = -1.30 will separate the distribution into…

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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: The scores on a test in a particular class follow a Normal distribution with mean μ=140 and standard…

A: We have given that  Normal distribution with mean μ=140 and standard deviation σ=23 Find P(X<181)

Q: In a normal distribution, the mean is equal to 60 and the standard deviation equal to 7. Find the…

A: The provided information are: Population meanμ=60Population standard deviationσ=7

Q: For a population with  = 15, a raw score of X = 82 corresponds to z = -0.60.  What is the mean for…

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

Q: X is a normal variable with mean of 8 and variance of 97. What is the z-score when x = 3?

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Q: a population of scores has u=44. in this population a score of x=40 corresponds to z = -1.00. What…

A: We have given that, Population mean (u) = 44, raw score of population (X) = 40 and z- score = -1. 00…

Q: II. DIRECTION: SOLVE THE PROBLEMS UNDER NORMAL DISTRIBUTION. SHOW YOUR SOLUTIC 1. Find the area LESS…

A: We have to find the z score area  for given  data.. Here we use z score table to  find  z value .

Q: normal distribution has a mean of u=30 with o=5 if a vertical line is drawn through the distribution…

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Q: The distribution of scores on the SAT is approximately normal with a mean of m = 500 and an SD of s…

A: Given: Mean (m) = 500, SD (s) = 100 Let X is the scores on the SAT which is normally distributed.

Q: Enter the exact answer. i

A: Given Data : Test value, x = 16 population mean, μ = 30 population…