Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose X has approximately a normal distribution with u = 25 and o = - 5. Use the continuity correction to calculate the probability that the number of flaws is a. Between 20 and 30, inclusive. b. At most 30. Less than 30.

Q: Suppose that X-bin(65,0.2). Using the normal approximation to the binomial distribution, P(12. < X…

A:

Q: Let X have a Nonstandard Normal Distribution with µ 55 and o = 8. Find P(X > 57).

A: Given that X follows N(mean = 55, SD = 8)

Q: Let X denote the number of flaws along a 100-m reel ofmagnetic tape (an integer-valued variable).…

A: Give that the number of flaws long a 100m real of magnetic tape X has approximately a normal…

Q: Assume that the data has a normal distribution and the number of observations is greater than fifty.…

A: We have to find correct answer for given data..

Q: find is the area under the standard normal distribution curve between z= -2.05 and z = 2.05?

A: Given Data: Let X be the random variable   X~ Normal (0, 1)

Q: Assume that women's heights are normally distributed with a mean given by u = 64. 1 in. , and a…

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Q: If X ~B(60,0.18), use the normal distribution to approximate the binomial distribution for: (i)…

A: Given, X ~B(60,0.18) i.e., n=60 p=0.18 P(X=10)=?

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A: Given information- We have given that a fair coin is flipped for one time. Let, H be the discrete…

Q: Suppose X is a twO-dimensional normal distribution, whose PDF is given by, fals,t) = c -…

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Q: Zニー2.25 and z:t0.25 Zニ- 0.67 andz =t 0-67 zニ--20 and Zニ+1.20

A:

Q: Let X = the time in hours between two successive arrivals at the drive-up window of a fast food…

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Q: 1. Let X denote the mean of a random sample of size 100 from a distribution that is x?(50). Compute…

A: Given, Let X¯  denote the mean of a random sample of size n = 100 from  χ2 (50) That is X ~ χ2 (50)…

Q: Find the z-score for which 80% of the distribution's area lies to its right.

A:

Q: A weather forecaster predicts that the May rainfall in a local area will be between 1 and 7 inches…

A: Given data A weather forecaster predicts that the may rainfall in a local area will be between 1 and…

Q: Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A: Solution: a. Let X be the time between two successive arrivals at the drive-up window of a local…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: we have given that  X~N(0 ,1) μ=0  ,σ=1 Z-score=( x -μ )/σ

Q: Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A: We have given that  X~Exponential(lambda=1)

Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

A: According to the provided information, we haveMean = 1000Standard deviation = 100

Q: Suppose the service time, in minutes, at a bank has the Exponential distribution with 2 = 1/2.…

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Q: A weather forecaster predicts that the May rainfall in a local area will be between 1 and 7 inches…

A: given data x = amount of may rain fall X~U(1,7) uniform distribution S.D.(σ)x = ?

Q: Sketch the area under the normal distribution curve over the indicated intervals and find the…

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Q: Let x be a continuous random variable with a standard normal distribution. Using the accompanying…

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A: Given n=593, p=0.3

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A: Given,P(-X&lt;Z&lt;+X)=0.9198

Q: Consider a sample size of 15 from a normal distribution. Find a value of t such that  only 1% of all…

A: The sample size (n) is 15.

Q: find the probabilities from a standard normal distribution that satisfy each of the following…

A: (a) From table z, Shade the appropriate area under the curve as follows:

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Q: Assume that the data has a normal distribution and the number of observations is greater than fifty.…

A: Givenα=0.09and test is right tailed

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Q: Compute P(Z ≥ 0.68), where Z represents a standard normal distribution

A: Draw the normal curve &amp; the shade the area to the right of z=0.68.

Q: Assume that X has a normal distribution with mean u= 15.2 and the standard deviation is o= 0.9.,…

A: Given: μ=15.2, σ=0.9 The corresponding z-value needed to be computed are: Thus,

Q: In a certain normal distribution, find the standard deviation o when u = 50 and 10.56% of the area…

A:

Q: Suppose Y has a standard normal distribution. Define U = Y. Show that U has a gamma distribution…

A: Solution

Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

A: Given data,μ=1000σ=100P(X&gt;x)=0.2578x=?

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: GivenThe probability of obtaining a reading between -2.828oC and 0.913oC

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A:

Q: Assume that X, the starting salary offer for sociology majors, is normally distributed with a mean…

A: given that.   X~N( μ , ?^2 )   μ=43256     , ?=3150   Z-score =( x - μ )/?   NOTE:- According to…

Q: Find the Mean In a normal distribution, find u when o is 8 and 15.15% of the area lies to the left…

A: The standard deviation is 8.

Q: Assume that blood pressure readings are normally distributed with a mean of 122 and a standard…

A: Note: Please repost other question only i can author only one question as per my policy. Given…

Q: Given a normal distribution with μ = 30 and o=6, find (a) the normal curve area to the right of x =…

A: According to our guidelines, we can answer only three sub-parts. So please repost the rest parts.

Q: Let X = the time between two successive arrivals at the drive-up window of a localbank. If X has an…

A: A  continuous random variable X is said to follow the exponential distribution if its probability…

Q: ssume that X has a normal distribution. ind the probability that X is greater than

A: Given: Mean μ=15.2S.D, σ=0.9

Q: Let X be a continuous random variable that has a normal distribution with a mean of 50 and a…

A:

Q: Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard…

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Q: Given a random sample of size 21 from a normal distribution. Find a such that P(a < T < - 0.533) =…

A: Given: n = 21 Degree of freedom = df =21-1 = 21-1 =20 P(a &lt; T &lt; -0.533) = 0.25 P(T &lt; a) -…

Q: Suppose that X-bin(75,0.2). Using the normal approximation to the binomial distribution P(14 < X <…

A: Given,n=75p=0.2mean(μ)=np=75×0.2=15standard deviation(σ)=np(1-p)σ=75×0.2×1-0.2σ=3.4641

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0∘ and a…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: From the given information, there are 170 eligible voters aged 18-24 and the percentage of eligible…

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.