The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally​ likely, find the mean and standard deviation for the random variable x.   x ​P(x)   0 0.125   1 0.375   2 0.375   3 0.125

Q: A population has a mean = 73 and a standard deviation σ = 7. Find the mean and standard deviation of…

A: The mean of the sampling distribution of sample means is 73, or μx​=73. The standard deviation of…

Q: random variable x represents the number of credit cards that adults have along with the…

A: Let X be the random variable having probability mass function is, XP(X) 00.0710.6820.2130.0340.01

Q: The length of pregnancies in giraffes is normally distributed with a mean length of 430 days and a…

A: Here, the mean length of pregnancy is 430 days and the standard deviation is 9 days.

Q: The amount of coffee in a can has a mean of 350g. The standard deviation is 5g. Use the normal…

A: From the graph we see that between 345 and 355 the probabilities are 0.34 and 0.34 To find the…

Q: The weights of goods 6g . tells you that the net weight is actually a Normal random variable with a…

A: If multiple samples of same size is draw from the population and the sample mean for each sample is…

Q: n = 11 Ex=55 Ex²=2230 Give the value of the sample standard deviation.

A:

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

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

Q: A population has a mean and standard deviation of 45 and 9, respectively. A random sample of size 81…

A:

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: GPA of students enrolled at a university has an approximately normal distribution with a mean of…

A:

Q: A variable is normally distributed with mean 15 and standard deviation 2. a. Find the percentage of…

A: Given that, Mean = 15 Standard deviation = 2

Q: Illustrate the following normal random variable: 1. Suppose that ages in a beauty pageant are…

A: The three statements are given with mean and standard deviation 1) Ages in a beauty pageant normally…

Q: The random variable X is normally distributed with a mean of 53 and 86% of the data lies to the left…

A: Given data isMean(μ)=53

Q: The results of a statistics examination follow an approximate normal distribution with a mean of 68…

A:

Q: A company produces steel rods. the length of the steel rods are normally distributed with a mean of…

A: Given Information :  A company produces steel rods. the length of the steel rods are normally…

Q: Ages of Gamblers The mean age of a sample of 24 people who were playing the slot machines is 50.6…

A: Given,n1=24n2=32x1=50.6s1=6.8x2 =55.6s2=3.2α=0.10H0:μ1=μ2H1:μ1<μ2

Q: A random variable has a normal distribution with a mean of 15 and a standard deviation of 2.5.…

A: The given mean is 15, and standard deviation is 2.5. The standard score is -2.15.

Q: Scores on a test are normally distributed with a mean of 76 and a standard deviation of 6. Using the…

A:

Q: The random variable x represents the number of emails received at a help desk in one hour, and it…

A: given data, random variable x represent the number of emails received at a help desk in one hour…

Q: Nielsen Company the mean number of TV sets in a US Household in 2013 was 2.24. Standard deviation is…

A: The provided information are: Population mean μ=2.24 Population standard deviation σ=1.4 Sample size…

Q: When a production process is operating correctly, the number of units produced per hour has a normal…

A:

Q: The random variable Y has the distribution shown below: Value 1 4 Probability 0.2 0.8 The mean of Y…

A: Given: Value            1        4 Probability     0.2     0.8 Mean, E(Y) = 3.4

Q: A large group of students took a statistics test.   The mean score, from the scale of 100, was  74.5…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Salaries of workers in a factory are normally distributed with mean, $48,000 and standard deviation,…

A: Lat x be the salary of the worker in factory is normally distributed with mean  and standard…

Q: The results of a certain medical test are normally distributed with a mean of 123 and a standard…

A:

Q: Scores on a math test are normally distributed with a mean of 76 and a standard deviation of 6. Part…

A: Let, X=the scores on a math test Given that X follows a normal distribution with mean=76 and…

Q: Assuming that exam score is a normal random variable, determine the corresponding z-score of a exam…

A: Given Raw Score = x = 178 Mean = μ = 165 Standard Deviation = σ = 8 In normal distribution, z = x-μσ

Q: Mean= Variance= B Standard Deviation= 19 20 21 Find the mean, variance, and standard deviation of…

A: Given that  Probability distribution table x 19 20 21 22 23 P(x) 0.24 0.23 0.31 0.11 0.11…

Q: In the United States, the mean birth weight for boys is 3.41 kg, with a standard deviation of 0.55…

A: As per our guidelines we are suppose to answer three sub parts . Given,mean(μ)=3.41standard…

Q: Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution About 9% of the…

A: Solution : Given : n = 100            p = 0.09            q  = 1- p = 0.91For Binomial…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: A population has a mean u=85 and a standard deviation a=22. Find the mean and standard deviation of…

A: Assume that the variable of interest is X.

Q: 7. Let Z be a random variable with the standard normal distribution. Find the Z-score of the random…

A: Draw the normal curve and shade the area of 0.25 to the left of z.

Q: A population has a mean u = 81 and a standard deviation o 36. Find the mean and standard deviation…

A: Given that, A population has mean μ=81 and standard deviation σ=36. Sample size n=81

Q: Choose the letter of the correct answer. The two important parameters that best describe the normal…

A: Given the statements : The two important parameters that best describe the normal curve are the…