A normal random variable X is given with a mean = 22 and a standard deviation o=17 Give an approximate value of the z such that: Pr(X ≤ 1) = 0.375

Q: The 87th percentile is (Round to two decimal places as needed.)

A: It is given that  Mean, μ = 50 Standard deviation, σ = 7

Q: Assume the random variable x is normally distributed with mean μ=89 and standard deviation σ=5.…

A: Given X is normal Distributed with mean µ = 89.0 and standard deviation σ = 5.0 now will using…

Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…

A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…

Q: of size 25 taken from a normally distributed population whose standard deviation is 15. What is…

A: As the population standard deviation is known, we will use z distribution. The critical z-value for…

Q: Assume that the random variable X is normally distributed with mean = 62.6 and standard deviation =…

A: Given:- X is normally distributed. mean μ = 62.6 standard deviation = 2.88n = 25 we have to find…

Q: Assume the random variable x is normally distributed with mean μ=86 and standard deviation σ=5. Find…

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Q: Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=5. Find…

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Q: For a Binomial Distribution if n =6 and 9 P(X=4) =P(X=2) find i) Variance

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Q: Consider a random variable X that follows a uniform distribution with a= 1 and b = 4 Find the…

A: Answer: From the given data, a = 1  and b = 4 X follows uniform distribution,

Q: Q5: Let X be a random variable following a normal distribution with mean 14 and variance 4.…

A: Given, Mean μ = 14Variance σ2 = 4Standard deviation σ = 2 P(X-2 > c) = 0.95

Q: Find the value of the standard normal random variable given P(z > #) = 0.2073. (Use a table or…

A: The given random variable is a standard normal random variable. The objective is to find out the…

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

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Q: The standard deviation of a normally distributed X random variable is 1.75. The probability that X…

A: As given,  The standard deviation of X is 1.75. That is, σ = 1.75 The probability that X is between…

Q: Suppose X is a normally distributed random variable with mean = 46 and st.deviation = 5 . Find a…

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Q: Let X be a random variable with a normal distribution with a mean of 100 and a standard deviation of…

A: We have given that  Mean(µ) = 100Standard deviations (σ) = 20X ~ N (µ, σ )= N(100, 20)

Q: Assume the random variablex is normally distrubited with mean u=85 and the standard deviation o=5.…

A: Population mean μ =85 Population standard deviation =5

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

A:

Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…

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Q: Determine the standard normal random variable (z) for P(X > 80) Suppose X be a normally distributed…

A: Solution-: Given: μ=65,σ=13 We want to find the standard normal random variable (z) for P(X > 80)…

Q: A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5.…

A: Given Mean(μ)=50standard deviation(σ)=5

Q: The capacitances of certain electronic components have a normal distribution with a mean u = 175 ar…

A: Given : The capacitances of certain electronic components have a normal dist. with  Mean (μ) = 175…

Q: Assume the random variable x is normally distributed with mean μ=84 and standard deviation σ=5.…

A:

Q: A random sample of n = 16 scores is obtained from a population with a standard deviation of σ = 18.…

A: Solution: From the given information, n=16, σ=18, x-bar=86 and z=2.

Q: A normally distributed random variable X with variance o = 400 and P(X > 250) = 0.7425. Then the…

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Q: X is a normal random variable with mean 5.0 and standard deviation 1.25. Find P (X> 6.26). (Round to…

A: Given mean is 5.0 and standard deviation is 1.25.

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

A: GivenMean(μ)=0standard deviation(σ)=1

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: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: 7. Find the 81st percentile.     The 81st percentile is   ​(Round to two decimal places as​ n

A: Given that x is normally distributed with mean and SD(standard deviation) is μ=50σ=7

Q: Consider a random variable X that follows a uniform distribution with a= 3 and b = 8 Find the…

A: Answer: From the given data, A random variable X follows uniform distribution with parameters a = 3…

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

A: The question is about std. normal distribution Given : z ~N ( 0, 1 ) P ( -b < z < b ) = 0.9008…

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

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

A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…