In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean p= 18 and variance o= 108. (a) Find the values of a and ß. (b) Find the probability that on any given day the daily power consumption will exceed 11 million kilowatt-hours. (a) a = 3 B= 6 (b) The probability is (Round to four decimal places as needed.)

Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

Q: Steel produced by company A has an average tensile strength of 4500 lbs and a variance of 40000 lbs,…

A: Solution: Given information: nA= 50  Sample size of company A nB= 100 Sample size of company  B μA=…

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: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Given problem is : In a certain vaccination site, the service time for individuals before they were…

Q: Suppose that the number of customers who enter a bank in an hour is a Poisson random variable, and…

A: Given problem Given that   Suppose that the number of customers who enter a bank in an hour is a…

Q: Over the year, projected due dates for expectant mothers have been notoriously bad at a large…

A: Let X be the  number of days to birth beyond the projected due date.  The value of X is equally…

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 number of people getting sick from imported meat products in a certain city in one month was…

A: Given data,μ=190σ=22P(X>160)=?

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: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: The random variable X is normally distributed. The population mean is 200. The population variance…

Q: If X is a random variable having a normal distribu-tion, what are the probabilities of getting a…

A:

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: We have find normal distribution..

Q: The test of equality of the variances between two normally distributed populations relies which has…

A: We have to find the distribution of random variable which is used in testing the equality of…

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

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

A:

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Here Given  Population mean=90 seconds= 1.5 Min Population variance = σ2= 12 (Mins)2 Population…

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

A: Given,mean(μ)=50standard deviation(σ)=10

Q: A sporting goods manufacturer claims that the variance of the strength of a certain fishing line is…

A:

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: Suppose the horses in a large stable have a mean weight of 873 lbs, and a variance of 17,161. What…

A:

Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x>65)=0.025

Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

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

A: Given data,Mean μ=50Variance σ2=100Standard deviation is σ=10Let x is the daily demand for the…

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

A:

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: In a certain city, the daily consumption of electric power in millions of kilowatt-hours can be…

A: Given, α = 3 and β = 2 If the power plant of this city has a daily capacity of 12 million…

Q: Suppose X is a random variable with a mean of 10 and a variance of 100. suppose Y is a random…

A:

Q: Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600.…

A: Central limit theorem As per the Central limit theorem, the sampling distribution of sample mean…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

A:

Q: A pencil manufacturer claims that its pencils have lengths that are normally distributed with a mean…

A: From the provided information,

Q: Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625.…

A: Given: μ=3685σ2=330625

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: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Assume a random variable X, which is the weight of a particular type of ripe tomato.

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: Consider two independent samples — the first of size 10 from a normal population having variance 4…

A:

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

A:

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: Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is…

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: 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: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: Given that X follows a normal distribution with mean=200 and variance= 625 So standard…

Q: 2- The variance can never be: a) Zero b) Smaller than the standard deviation

A:

Q: (a) On a farm, at 20 weeks, the weights of roosters follow an approximately normal distribution with…

A: Given data: mean =  2.16 kg variance = 0.09 kg2

Q: A researcher tests their new treatment for sleep disorder among an individual that has a sleep…

A:

Q: For a random variable X with standard deviation 5, Variance of 2x + 4 is

A: It is given that, Standard deviation of X is 5 Now, The variance of X is =52=25

Q: If X is a normally distributed random variable with mean equal to 1 and standard deviation σ and if…

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.