The time to complete a task is a random variable X that follows a normal distribution with mean u and standard deviation of 10 minutes. Given that P(X > 10) = 0.7389, the value of P(X > 20) is closest to O 0.4132 0.5018 O 0.1752 O 0.3594 O 0.2142

Q: A random sample of 64 is taken from a large normally distributed population with a mean μ=100 and…

A: Answer: From the given data, Mean μ = 100 Standard deviation σ = 15 For a sample size of n = 64

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

A: Given that, Mean = 243.5 Standard deviation = 58.6 Sample size = 160

Q: Given a normally distributed population with population mean 1000 and population standard deviation…

A: Given: μ=1000σ=120n=225 The P(1010≤M≤014) is calculated as below:…

Q: A random sample of n = 16 scores is selected from a normal distribution with µ = 500 and σ = 200.…

A: The possible sample would be p(402 < M< 598) = 0.95Explanation:Step 1: Step 2: Step 3: Step 4:

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

A:

Q: Consider the continuous normal random variable, X = {a typical customer’s expenditure at Baby-Toy…

A: Let the typical customer expenditure at Toy store be X. The mean and standard deviation of the…

Q: Let X be a normal random variable with mean 33 and standard deviation 4.02. Find c such that P(33-c…

A:

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: Let X be a normal random variable. If the mean and standard deviation of X are 45 and 5,…

A: Given, Let X be a normal random variable.mean of X(μ) = 45standard deviation of X(σ) = 5and X = 55

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: Assume a normal distribution has a mean ofu- 100 with o- 20. If one score is randomly selected from…

A: We want to find probabaility for given data

Q: Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3…

A:

Q: Find a value of the standard normal random variable z, call a. P(zszo)=0.0283 b. P(-Zo szsz0)= 0.90…

A: Givena)P(z≤z0)=0.0283

Q: A person's level of blood glucose and diabetes are closely related. Let x be a random variable…

A: Given that  x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter)…

Q: Assume the random variable X is normally distributed, with mean p=51 and standard deviation σ = 8.…

A:

Q: A person's level of blood glucose and diabetes are closely related. Let x be a random variable…

A: Obtain the Z-score for the random variable X equals 85. The Z-score for the random variable X equals…

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: A sampling distribution of the means of all possible samples of size 200 is formed. The population…

A:

Q: The probability density function of the discrete random variable x; x = 1,2,3,4 f (x) 10' dd(other…

A: As per our guidelines we are suppose to answer first question.

Q: Given that z is a standard normal random variable, what is the probability that -2.51 SS-1.532…

A: Given Data: z represents the standard normal distribution   To Find: P(-2.51<z<-1.53)

Q: Find the standard deviations of the random variables. The mean for part a is 11.5, and the mean for…

A:

Q: A Gaussian random voltage X with zero mean and standard deviation of 4.5 volts appears across 100…

A: Here, X is normally distributed with mean(μ) of 0 volts and standard deviation(σ) of 4.5 volts.

Q: Assume the random variable X is normally distributed, with mean u= 41 and standard deviation o = 9.…

A: Given Mean =41 Standard deviation=9

Q: What is the probability that, for an adult after a 12-hour fast, x is more than 65? Group of answer…

A: We have given that  Population mean µ = 85 Standard  deviation σ = 28.

Q: A researcher tries to estimate the population mean by using sufficiently large sample. The…

A: The probability is 0.99.

Q: A random sample of n = 64 scores is obtained from a normal population with u = 30 ando = 10. What is…

A: Givensample size(n)=64Mean(μ)=30standard deviation(σ)=10

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

A:

Q: Let X be a normal random variable with mean 142 and standard deviation 6.35. What is P(X >= 128)? O…

A: Answer: From the given data, X is a normal random variable with Mean (μ) = 142 Standard deviation…

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A: Solution

Q: A random sample of size 625 was selected from a large population with population mean ? = 15 and…

A:

Q: Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in…

A: i)  Column I represents the z-intervals for the normal distribution, X~N75, 8 according to the…

Q: The table below gives the probability distribution for a discrete random variable X. X 0 1 2 3 4 5 p…

A: X012345p0.290.16?0.200.140.05

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

A: We want to find the meana nd variance of sample mean.

Q: A population has a mean of 12 and a standard deviation of 5. A random sample of 200 is selected. The…

A:

Q: Given that z is a standard normal random variable, what is the value of the z score (a) if P (z >…

A: We want to find a such that P(z≥a) = 0.1949

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: Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such…

A: From the provided information, Mean (µ) = 16 Standard deviation (σ) = 2 X~N (16, 2)

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: Assume the random variable x is normally distributed with mean μ=87 and a standard deviation σ=4…

A: Given,Mean(μ)=87standard deviation(σ)=4

Q: Let X be a random variable that is approximately normal. A random sample of size n = 16 is taken.…

A: Answer: - Given, sample size n = 16.                 The sample mean is x = 71 and the sample…

Q: What is the probability of randomly selecting a score with a value greater than X = 63 from a…

A: Given,Mean (μ) =60Standard deviation (σ)=12And X=63