Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Find the 86th percentile. Click the icon to view a table of areas under the normal curve. The 86th percentile is (Round to two decimal places as needed.)

Q: The length of time it takes to find a parking space at 8am follows a normal distribution with a mean…

A: Given,mean(μ)=10standard deviation(σ)=3

Q: The mean IQ score of adults is 100, with a standard deviation of 15. Use the empirical rule to find…

A: Given,        Meanμ=100        standard deviation(σ)=15     so,…

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Given, X~Normal(μ,σ)Where,μ=4.4σ=2.4

Q: A purveyor of designer maternity wear sells dresses and pants priced around $250 each for an average…

A: Given DataMean = 1000Standard deviation = 400Sales is following normal distributionFinding the…

Q: Given a normal distribution with mean of 67 and standard deviation of 5, the probability that X…

A: We have given that,  X be the random variable from normal distribution ,  Then, We have to check…

Q: Given a normal distribution with MEAN = 50 and SD = 10, find the probability that X assumes a value…

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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: Consider, the expected…

Q: A population forms a normal distribution with amine of 85 and a standard deviation of 24 compute the…

A: We have given that  X~N( μ , ?^2 ) μ= 85    ,   ?=24  , n= 9 , mean= xbar=91

Q: Assume that the heights of women are normally distributed with a mean of 62.7 inches and a standard…

A: Given that height of the women are normally distributed with mean of 62.7 inches and a standard…

Q: The mean IQ score of adults is 100, with a standard deviation of 20. Use the Empirical Rule to find…

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Q: The tensile strength of paper is modeled by a normal distribution with a mean of 36 pounds per…

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Q: The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%. What is…

A: Given Information: Mean: μ=18Standard deviation: σ=6 The sample size is n=15.

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: Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Obtain the value of “a” if P(–a < z < a) = 0.4314. The value of “a” is obtained below as…

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: Assume a random variable X has a normal distribution with mean 500 and standard deviation 15. Find…

A: We have given that a random variable X is normally distributed with mean 500 and standard deviation…

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

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Q: The weight of a certain population of young helfers is approximately normally distributed with a…

A:

Q: A midterm exam has a mean of 76.0 and a standard deviation of 8.0. If any student with a z-score of…

A:

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

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

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Q: For a standard normal distribution, find: P(z < 2.27) Express the probability as a decimal rounded…

A: Using standard normal distribution we find the probability.

Q: Use R to determine P(3.1<ỹ<5.1) for a Normal distribution with a mean of 4.3 and a standard…

A: Use R programming

Q: The diameter of the rotor blades in certain type of helicopter follows a Normal distribution with…

A: Let X be the diameter of the rotor blades in certain type of helicopter which follows normal…

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

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Q: 25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).

A: q.25)  Use the Normal approximation method z-score μ=0.243 σ=0.0073     P (0.240≤ x ≤ 0.250) =…

Q: The mean 1Q score of adults is 90, with a standard deviation of 10. Use the Empirical Rule to find…

A: Given data: Mean =  90 Standard deviation = 10 To find: By using the Empirical Rule to find the…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P…

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Q: distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile

A: We have given that, Population mean (μ) = 55 and standard deviation (σ) = 4 Then,  We will find the…

Q: In a Normal Distribution with the Mean of 67 and the Standard Deviation of 5, find P (x < 60) A.…

A: The random variable X is normally distributed. The population mean is 67. The population standard…

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: A data obtained from a random sample has mean 68 and standard deviation 35. The value whose Z-score…

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Q: "The weights of 1,000 children, in average, is 46kg with standard deviation of 11kg. Suppose the…

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

Q: he standard deviation of the average, ?¯ : (b) The probability that the average amount of sunscreen…

A: Company sells sunscreen, amount of lotion in tube varies according to normal distribution with mean…

Q: A recent study done on college students found that the mean time they spend on homework assignments…

A: Given data,Mean μ=6.5sd     σ=1.2n=50Describe the sampling  distribution of sample mean

Q: For a standard normal distribution, find: P(z > 2.54) Express the probability as a decimal rounded…

A: standard normal distribution   p(z&gt;2.54) = ?

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

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Q: a normal distribution with a mean of Mean = 60 and a SD of 12, find the probability

A: Let us consider x is a random variable which follow normal distribution with mean = 60 and a SD of…

Q: Given a normal distribution with mean of 67 and assumes a value less than 50 is 0.0034.

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Q: MCAT scores are normally distributed with a mean of ? ​​= 501.5 and a standard deviation of ? =…

A: Given: Population mean μ = 501.5 Population standard deviation σ = 10.7 Formula Used: Z-score = X-μσ

Q: The weight of students studying at a national university follows a normal distribution with a mean…

A: Given,margin  of error (E)=0.03standard deviation (σ)=0.24α=1-0.99=0.01α2=0.005Z0.005=2.58

Q: For a sample from a normal distribution with standard deviation σσ, the standard deviation of the…

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Q: A test has a mean soore of 150 and a standard deviation of 12. Scores are normally distributed. What…

A: Let X denote the test score and it follows normal distribution with mean of μ=and standard deviation…

Q: Given a normal distribution with mean 100 and standard deviation​ 10, find the area under the normal…

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Q: The average weight of insects for a laboratory experiment is 13.2 g with a standard deviation of 0.8…

A: It is given that μ=13.2 and σ=0.8 The insect weighs at most 14 gram is given by:…

Q: Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a…

A: Z-score corresponding to a normal variable value X is      (X-mu)/sigma Where,      X = normal…

Q: Assume that X has a normal distribution. The mean is μ=15.2 and the standard deviation is σ=0.9.…

A: Given Information: Assume that X has normal distribution.

Q: Given a normal distribution with mean of 40 and standard deviation of 5, find the x value that has…

A: The mean is 50 and the standard deviation is 5.

Q: In a standard normal distribution, the range of values of z is from

A: For above 5. ASWSBE14 6.TB.2.015 The range of values of z is always between minus infinity and…