Suppose the random variable x has a normal distribution with μ = 300 and σ = 30, Find the value of r that represents the 10th percentile

Q: For random samples of size n- 25 selected from a normal distribution with a mean of u- 50 and a…

A: Define the Random Variable, Xi : Value of the i th random variable mean, µ = 50, standard deviation…

Q: Suppose that Xhas a normal distribution, Find E[ekx].

A: Solution

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 scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: For a normal distribution, the first quartile corresponds with the 25th percentile.   A.) True B.)…

A:

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: If you were to use the normal approximation for the binomial distribution with probability of…

A: From the provided information, The probability of success = p Number of trials = n

Q: Suppose that Xhas a normal distribution, Find E[ex].

A: Solution-: Suppose, X has a normal distribution We want to find, E(ekx)=?

Q: A normal distribution has a mean of u = 70 with o =3. What is the probability of sampling an…

A: We have find givan normal distribution...

Q: The sampling distribution of x in this case is approximately Normal with mean and standard deviation…

A: Normal/Gaussian probability distribution is a continuous probability distribution that ranges from…

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given information: X is a random variable follows normal distribution. That means,

Q: If the uric acid values in normal adult males are approximately normally distributed with a mean and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that the average number of hurricanes heading to RGV is 32 per year witha standard deviation…

A: It is given that the, Hurricanes heading follows the normal distribution with the average number of…

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

A:

Q: Find the area to the left of x = 36 under a normal distribution curve with μ = 44 and o = 4.

A: The mean and standard deviation are 44 and 4, respectively.

Q: What proportion of a normal distribution is located between z = -1.25 and z = +1.25?

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: For a normal distribution with µ = 64 and σ = 9,

A:

Q: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…

A:

Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

Q: For a normal distribution with a mean of 60 and a standard deviation of 10 find the proportion of…

A: Solution: Let X be the score. From the given information, X follows normal distribution with a mean…

Q: Let X be the random variable of the normal distribution with mean (u) and standard .deviation (o) If…

A:

Q: Let X be a randon variable following normal distribution with mean +1 and variance 4. Let Y be…

A: Introduction :

Q: For a normal population with mean = 100 and population standard deviation = 20:   a.    What is…

A: Given Information: Mean μ=100 Standard deviation σ=20 (a) To find the proportion of X that is less…

Q: Assume X is normally distributed with a mean of 10 and a standard deviation of 2.1. Determine

A:

Q: In a normal distribution for any normal random variable X, the probability that X is more than three…

A: GIven: x~Normal distribution(μ,σ)

Q: Consider a normally distributed population of scores with a mean μ = 100 and σx = 10. What score has…

A:

Q: For random samples of size n = 16 selected from a normal distribution with a mean of µ = 75 and a…

A: sample size: n = 16mean: µ = 75 standard deviation: σ = 20   To find c such that, P( x¯ <c )…

Q: Suppose X has a standard normal distribution. Find the distribution of Y= X2/2

A: Solution-: Suppose X has a standard normal distribution. Find the distribution of Y=X22

Q: For a normal distribution with μ = 10 and σ = 2, find the z-score corresponding to x = 4

A: According to the provided information, μ = 10 and σ = 2 x = 4

Q: What proportion of a normal distribution is located between z = –0.60 and z = 0.60?

A: Given that, Z = -0.60 and Z = 0.60

Q: For random samples of size n = 25 selected from a normal distribution with a mean of µ = 50 and a…

A:

Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

A:

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

A: From the given information,   Mean = 20 Standard deviation = 3

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: In a log normal distribution. What is the expected value of the mean and the Std. And what is the…

A: The mean and standard deviation of log normal distribution is to be found out. The log normal…

Q: As the number of degrees of freedom for a t-distribution decreases, the difference between the…

A: Correct option is E E. Becomes larger

Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If…

A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.

Q: Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is…

A: Givenwe have a normal distribution N(2,4)Mean(μ)=2variance(σ2)=4standard deviation(σ)=4=2

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given: The random variable X is normally distributed. The population mean is given as:…

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: A z-score that is 9 points above the mean corresponds to a z = 1.50. What is the populations'…

A: Z score is the distance of data point from its mean in terms of its standard deviation. It is…

Q: Suppose a population of scores x is normally distributed with  μ = 110  and  σ = 10.  Use the…

A: Given that:     μ=110, σ=10 Find PX<130.

Q: When can a binomial distribution typically be approximated by a normal distribution? Which of these…

A:

Q: The drainage from a community during a storm is a normal random variable.  The estimated mean flow…

A: From the provided information, Mean (µ) = 1 Standard deviation (σ) = 0.8 X~N (1, 0.8) Here X be a…

Q: The random variables X is the best described by a normal distribution with = 30 and a = 6. Find the…

A: Given : X~N(μ=30,σ2=(6)2) We Want to find Z-score corresponds to, 1. X = 21  2. X = 26.5

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

A: The mean is 85 and the standard deviation is 24.

Q: A normal distribution has a mean of u = 45 with o =5. What is the probability of sampling an…

A:

Q: How can a value for z be determined if it is not found in normal distribution table. For example, if…

A: