Find P(2 3 X< 5). a. b. Find P(X > 4). Find the mean of the random variable X. d. Find the standard deviation of the random variable X.

Q: A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500…

A: Given A prototype automotive tire has a design life which follows a normal distribution with  Mean…

Q: Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X < x) = 0.022.…

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Q: Assume the random variable X is normally distributed with a mean of μ=62 and a standard deviation of…

A: Given that.   X~N( μ , ?^2 )   μ=62     , ?=8     Z-score =( x - μ )/?

Q: A population has a mean of μ=30 and a standard deviation of σ=8.If the population distribution is…

A: Obtain the standard z-score for the random variable M equals 34 The standard z-score for the random…

Q: Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X > x) = 0.813

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Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A: Sample size n=700 Sample mean x¯=640 Population Standard deviation σ=300

Q: Given that X is normally distributed with a mean of 50 and a standard deviation of 4, determine the…

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Q: Find the F-test statistic to test the claim that the population variances are equal. Both…

A: Given: Two populations are normally distributed. Standard deviation of first sample 2.8454. Standard…

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: Can you find the standard deviation for sx and sy?

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Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

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Q: Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of…

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Q: A)Calculate the standard error when o=12 and n=4 B) A sample of n=36 nursing students scored a mean…

A: A) Here o = 12 and n = 4 standard error = on= 124=122=6∴Standard error = 6 B) Here given , n=36 and…

Q: A random sample of n = 4 scores is selected from a population with a mean of 50 and a standard…

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Q: The random variable x represents the reaction times, in milliseconds, of girls in a driving…

A: (a) (i) The value P(x&lt;325) is obtained Excel function “=NORMDIST(x, mean, standard deviation,…

Q: If X~N(100, σ 2 ) and P(X < 106) = 0.8849, find the standard deviation, σ.

A: Here,X~N(μ,σ2)so,Here X~N(100,σ2)   → 1

Q: The random variable X denotes the number of speed camera photos taken on a stretch of road. X is…

A: As per our guidelines we are suppose to answer only one question .  Given,A random variable…

Q: Let ?̅ be the mean of a random sample of size 90 drawn from a population with a mean of 117 and a…

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Q: A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500…

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Q: In a random sample of 1000 students, 70% prefer to study at the school campus. The standard error…

A: Solution: Given:   n: size of random sample  = 1000 p: sample proportion          = 0.70…

Q: A sample of n = 5 scores has Σ X = 20 and Σ X2 = 180. For this sample, what is the value of the…

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Q: Let \(X) be a normally distributed random variable with a mean 550 and a standard deviation of 150.…

A: 4. The provided information is µ=550 σ=150   The z score is  z=x¯-µσz=600-550150z=0.33

Q: Let X be a normal variable with a mean of 12 and a standard deviation of 2. Find the value of the…

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Q: Given a sample with a mean of 151 and a standard deviation of 27, find x such that Pr(X > x) =…

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Q: A survey asks a random sample of 1500 adults in Ireland if they support an increase in the plastic…

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Q: Let the random variable X follow a normal distribution with a mean of 18 and a standard deviation of…

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Q: In a given year, the average annual salary of an NFL football player is $189,000 with a standard…

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Q: Find the mean and the standard deviation of the normally distributed random variable X if…

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Q: Q2: A hypotheses regarding newborn infants weight at a community hospital is that the mean is 33…

A: Given  μ=33, n=51, x̄=12 ans s=11

Q: If x is normally distributed with a mean of 5 and standard deviation of 2, find the P(x>8).

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Q: If X is normally distributed and P(X26)=0.0228, find the mean and standard deviation of X. (Make it…

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Q: Let ?̅ be the mean of a random sample of size 65 drawn from a population with a mean of 75 and a…

A: Solution-: Let, X= be the random variable Given: μ=75,σ=19,n=65 We find, (a) Mean of  X¯=? and…

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: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given: Thermometer readings follows standard normal distribution.

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X >…

A: GivenMean(μ)=35standard deviation(σ)=7.5

Q: f the standard deviation of a normally distributed population is 22.0 and we take a sample of size…

A: It is given that the standard deviation is 22.0 and the sample size is 4.

Q: A private entity has recorded that the population average of unemployed persons per year in a city…

A: Probability:          Let the total number of possibilities be n and the number of…

Q: A population has a mean of 30 and a standard deviation of 8; if the population distribution is…

A: Consider M be a random variable that follows a normal distribution with a mean of 30 and a standard…

Q: (g) Give the standard deviation of X1.

A: The standard deviation is the square root of variance. Thus, the variance of the probability…

Q: X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. For…

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Q: he average prison sentence for a person convicted of second-degree murder is 16 years. If the…

A: Given data,μ=16σ=2.1P(X&gt;19)=?

Q: The mean is µ = 15.2 and the standard deviation is Η = 0.9. Find the probability that X is between…

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Q: If X is normally distributed random variable with a standard deviation of 35. Find the mean given…

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Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

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Q: A random sample of 11 items is drawn from a population whose standard deviation is unknown. The…

A: Given data Random sample 0f 11 items is drawnsample mean is x=920sample standard deviation is s=25

Q: There are frogs and koi in a pond, and the number of frogs and the number of koi in the pond are…

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Q: If n = 20 and p = 0.90, then the standard deviation of the binomial distribution is

A: Given: n= 20 p=0.90

Q: binomially distributed with n = 1000 and p = .7. Find the mean and the standard deviation of X. ?x =…

A: The mean is calculated as:

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?