Given a random variable X having a normal distribution with µ=62 and o=15, find the probability that X assumes a value between 55 and 74 O 0.68120 O 0.46896 O 0.53675 O 0.71952

Q: Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7.…

A: given data  normal distribution population mean : μ = 50population standard deviation : σ  = 7find…

Q: points of the population proportion of 15% is closest to (Use normal approximation): replacement.…

A: Given P=15%=0.15 1-p=0.85

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…

A: Determine the value of the 89th percentile.   The value of the 89th percentile is obtained below as…

Q: Let Zbe a random variable follows standard normal distribution,Z- N(0,1). Answer the following…

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Q: The 7th percentile is

A: Here given , mean =  42 standard deviation =  6 X follow normal distribution with parameter mean =…

Q: Let x be a random variable that represents the length of time it takes a student to complete a…

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Q: Z denote a random variable following the standard normal distribution. Pr(Z>1.5) = ?

A: Given  Z be the standard normal distribution with mean 0 and variance 1 Z~ N(0,1) We want to find…

Q: Let x be a random variable that represents micrograms of lead per liter of water (ug/L). An…

A: Given: μ=2.0σ=0.7α=1%=0.01x¯=2.55

Q: The temperature at which a certain compound melts is a normal distribution random variable with a…

A: Answer:- Given, Mean, µ = 300 CStandard deviation, σ = 30 CLet , X be a random variable represents…

Q: Let the random variable X follow a normal distribution with a mean of 61.7 and a standard deviation…

A: The question is about normal distribution Given : Popl. mean ( μ ) = 61.7 Popl. std. deviation ( σ )…

Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…

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Q: A random sample of size 40 was drawn from a normal distribution with the mean 50 and standard…

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Q: Suppose you roll a fair die that includes the numbers from 1 to 6. The probability of getting a…

A: 1) Given that, A fair die is rolled that includes numbers from 1 to 6. The probability distribution…

Q: A population of values has a normal distribution with µ = 213.2 and o = 67.3. You intend to draw a…

A: Consider, Population mean (µ) = 213.2 Population standard deviation (σ) = 67.3 Sample size (n) = 10

Q: A Normal population has mean μ = 10 and standard deviation σ = 3.  Suppose a random sample of size n…

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Q: Suppose z is the standard normal variable. It is suggested that you draw the normal curve for each…

A: We will use Std. Normal table to find the required probabilities. Note : According to our guidelines…

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: A random sample of size 25 is selected at random from a normal distribution with mean 20  and…

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Q: Suppose that X is a normal random variable with a mean of μ = 140 and a standard deviation of a =…

A: Mean=140, Standard deviation=10

Q: The Rockwell hardness X of certain metal pins is known to have a mean of u = 50 and a standard…

A:

Q: Assume that the amounts of weight that male college students gain during their freshman year are…

A: μ=1.4,σ=5.1X~N(1.4,5.1)

Q: A normal distribution has a mean of u = 60 with o = 8. If one score is randomly selected from this…

A: Mean = 60 Standard deviation = 8

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

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Q: Suppose that a random variable Z has a standard normal distribution. Find a such that P(Z > a) =…

A: Note: Total area under the normal curve is 1. Area to the left of the normal curve = 1-0.229 =…

Q: For a standard normal random variable Z, P(-0.86<Z<-0.24) =?

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Q: Let X have normal distribution with mean 4 and standard deviation 0.6. If a random sample of size 14…

A: Given: Let X be a random variable. The mean is μ=4. The standard deviation is σ=0.6 The size of the…

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: A population of values has a normal distribution with u = 244.3 and o = 12.9. You intend to draw a…

A: Use excel formula "=NORM.S.DIST(0.109, TRUE)" to find the probability.

Q: Given that z is a standard normal random variable, find c>0 such that P(−c<z<c)=0.8968

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Q: Z is distributed as a standard normal variable. Given a sample with a mean of 0 and a standard…

A: given data normal distributionμ = 0σ= 1Z~N(0,1)     standard normal distriutionP(-1.77&lt;Z&lt;1.97)…

Q: Suppose a random variable X is best described by a normal distribution with u=60 and o2=100 Find the…

A: Given data: Suppose = X is best described by a normal distribution μ =60 σ2 =100 Find the z-score…

Q: The daily consumption of electric power is a random variable X having a gamma distribution with…

A: Given: Alpha = 1 Beta = 2 Consider X be the random variable that is following gamma distribution.

Q: A normally distributed random variable X with variance o-256 and P(X> 130)=0.9251. Then the mean of…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: What is the mean of the distribution of sample means? μ¯x=μx¯=  ft What is the standard deviation…

A: The random variable X is defined as the full height of a certain species of tree which follows…

Q: Find the value of so that the area to the left of is 0.0847.           b. Find the value of so…

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Q: Find a value of the standard normal random variable z, called zo, such that P(z < zo) = .43 O A. Zo…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

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=?