if each individual in the population drinks 2 kg of tea and 1 kg of coffee, the mean total expenditure on beverages is S with a variance of IMTand C have a bivariate normal distribution with covariance zero, the mean total expenditure on beverages is Swith a variance of IfX and Y have a bivariate distribution with covariance zero, this implies that the variables show

Q: Find P(X = 3), P(X = 6), P(X less than or equal to 3),

A: According to our guidelines we are solving only first three sub-parts of given question and rest…

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: 1] μ1=1752] μ1=1653] σ12=644] σ22=645] n1=86]  n2=8

Q: 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100…

A:

Q: Suppose we guess a model with four explanatory variables with 25 observations. Also, suppose that…

A:

Q: Suppose it is believed that the probability a patient will recover from a disease following…

A:

Q: The probability of a defective product produced in a production process is 0.26. What is the…

A: From the provided information, The probability of a defective product produced in a production…

Q: In its journey a bus passes through 5 traffic lights, each light has the same probability of being…

A:

Q: then the value of variance of X is

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

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: Given, Mean height of boys is 175 and variance is 64 Mean height of girls is 165 and variance is 64…

Q: One sample with n =8 has a S2 = 6 and a second sample n = 8 scores has a S2 = 10.  If the pooled…

A:

Q: A soft-drink dispensing machine is said to be out of control if the variance of the contents exceeds…

A: Null hypothesis: H0:σ2≤1.15 Alternative hypothesis: H1:σ2>1.15 The value of the test statistic is…

Q: The bearing for any computer hard drive can be modeled as a random variable with mean 0.225 mm and…

A: Let X be random variable that bear hard drive for any computer.   We are given X~N(μ, σ2) with mean,…

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of…

A:

Q: 2. Suppose that the current measurements in a strip of wire are assumed to follow a normal…

A: Let X denote the current measurements in a strip of wire. Given that X follows N(mean = 10, SD = 2),…

Q: The daily demand for a certain product is approximately normally distributed with mean 50 and a…

A:

Q: Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and…

A:

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

A:

Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

Q: The filling machine at a bottling plant is operating correctly when the variance of the fill amount…

A: The variance of the fill amount in ounces is equal to 0.3. The number of sample bottles is equal to…

Q: Suppose X, and X, have a bivariate normal distribution. Then, the condition distribution of X, given…

A: Given: X1 and X2 follow bivariate normal distribution.

Q: Our random variable X has a beta distribution with a = 7 and B = 3. %3D What is the variance of the…

A:

Q: The range of the random variable X is {30, 1, 2, 3, a} , where a is unknown. If each value is…

A:

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A:

Q: Two students sit for a university final exam whose scores are known to be normally distributed. The…

A: If raw scores are given by X= 63, Y= 93 Then z score for x is given by, Z= (X- mu)/sigma Where mu is…

Q: Suppose the annual earnings of clinical pharmacists follows a normal distribution. A sample of 30…

A: Given Let n, sample size=30

Q: company has found that its profits Y are related to its sales X by the formula   Y = 0.2X + 100. If…

A: The profits of y is, Y=0.2X+100. The next year’s sales have a Normal distribution with a mean of…

Q: The amount of gasoline in gallons sold by three different gas stations during one day is given by…

A:

Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…

A: Let X be the weights of a bag  Population mean μ=9, sample standard deviations σ=0.64…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: Let X and Y be independent random variables. Suppose X has variance 2 and let Y have variance 5.…

A: Given Data: Var(X)=2 Var(Y)=5

Q: If the coordinates of point A (x, y) are two random variables with a normal distribution with zero…

A:

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

A: From the given information, The number of passengers on a bus follows a negative binomial…

Q: Which discrete distribution has a difference between their means and variances equal to zero?

A: Here identifying distribution in which mean and variance are equal

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean…

A: The standard normal variate is calculated using the sample mean, population mean, population…

Q: ormally distributed with a mean of 2.94 and variance of 0.68.

A: Given that  Reaction time in a chemical process (in seconds) is normally distributed . Mean (μ) =…

Q: The heights of grade 11 students are normally distributed with an average height of grade 11…

A: Let a random variable X denote the height of 11 grade students. Then, X~Nμ, σ2, where, μ=167 and…

Q: The reaction time to a certain psychological experiment is considered to be normally distributed…

A:

Q: A machine is set to pump cleanser into a process at the rate of 6 gallons per minute. Upon…

A: The  provided information is X~U(5.5,7.5) a=5.5 b=7.5 The variance is…

Q: One sample has n = 10 scores and a variance of s2 = 20, and a second sample has n = 15 scores and a…

A:

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: From the given information, Consider, x be the height of boys and y be the height of girls.…

Q: Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the…

A:

Q: horses in a large stable have a mean weight of 1354 lbs, and a variance of 9604. What is the…

A: Suppose the horses in large stable have a mean weight of 1354lbs and variance of 9604. X~N (µ=1354,…

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A: Given that, A sample of final exam scores is normally distributed with, Mean = 20 Variance = 25

Q: Suppose that the distribution of systolic blood pressure X among people suffering from hypertension…

A: Let Z be the measure of new systolic blood pressure after admitting the drug ... Hence Z=X-Y....…

Q: Let X be the life in hours of a radio tube. Assume that X is normally distributed with the mean 200…

A: It is given that the life in hours of a radio tube is normally distributed with the mean 200 and…