Suppose the time spent by a randomly selected student who uses a terminal connected to a local time-sharing computer facility has a gamma distribution with mean 12 min and variance 36 min?. (a) What are the values of a and ß? a = %3D (b) What is the probability that a student uses the terminal for at most 21 min? (Round your answer to three decimal places.) (c) What is the probability that a student spends between 15 and 27 min using the terminal? (Round your answer to three decimal places.)

Q: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: (a) Finding the values of α and β : The random variable X represents the time spent by a randomly…

Q: (2) The Bright Electric Company produces large quantities of light bulbs per day. For the 75 watt…

A: i) CLT, sample mean follows normal distribution for large samples(>30) no matter the parent…

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 a company repacks cereal with the use of a machine that is calibrated so that the weight of…

A:

Q: Suppose that you take a random sample of 30 healthy American men... What is the z-score…

A: The mean is 82 and the standard deviation is 10.

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: Suppose that the amount of cosmic radiation to which a person is exposed when flying by jet across…

A: It is given that the mean and standard deviation are 4.35 and 0.59, respectively.

Q: 5. Suppose that the result of the third quarter Exam of MSU-SHS is normally distributed has mean of…

A:

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

A:

Q: The manager of a night club in Boston stated that 95% of the customers are between the ages of 22…

A: It is an important part of statistics. It is widely used.

Q: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: Given data Mean = 20 Variance = 80 Mean of gamma Distribution is given by E(X) = αβ = 20 Variance of…

Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

A: This question is related to Distributions. The solution to the given question is explained below.

Q: Suppose the height of a certain population is normally distributed with mean of 158 cm and variance…

A: Given,mean(μ)=158standard deviation(σ)=16=4

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: What is the probability that the mean of a sample with 40 elements randomly selected from a normally…

A:

Q: Suppose it is known that in a certain large human population cranial length is approximately…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: Given The population mean  =  3639 Variance                       =  145161 sample size n…

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: Suppose we are interested in the relationship between an individual’s brown hair and ski color.…

A: From the given information, X: degree of brown hair color Y: degree of skin color

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: ectricalc has determined that the assembly time for a particular electrical component is rmally…

A:

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Suppose that the average number of hours spent by senior high school students in your school for…

A: Mean(µ) = 25Standard deviations (σ) = 4Sample size (n) = 12 Also given that it is normally…

Q: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: 1) The mean and variance of  gamma distribution is  E(X)=rλ20=rλ       ....(i)V(X)=rλ280=rλ2…

Q: Suppose a borderline hypertensive is defined as a person whose DBP is between 90 and 95 mm Hg…

A:

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 the time spent by a randomly selected student who uses a terminal connected to a local…

A: Given data Mean = 15 Variance = 45 Mean of gamma Distribution is given by E(X) = αβ = 15 Variance of…

Q: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: Suppose babies born in a large hospital have a mean weight of 4088 grams, and a variance of 55,696.…

A:

Q: Suppose the horses in a large stable have a mean weight of 807 lbs, and a variance of 5776. What is…

A: Assume,  x denotes the sample mean weight of horses (in lbs). μ denotes the population mean weight…

Q: 1.Calculate the probability of Micheal winning the puzzle contest when there are 18 boys and 15…

A:

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

A:

Q: The lifetime of a light bulb is normally distributed with the mean 3000 hours and a variance of 1392…

A: We have given that,  The lifetime of a light bulb are normally distributed with mean (Mu) = 3000…

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

A: From the provided information,

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

A:

Q: in one region the September energy consumption levels for single-family homes are found to be…

A:

Q: From a large consignment of clementine fruit destined for a UK supermarket the cus- toms office is…

A:

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

A: We have given that a random variable X is normally distributed with a mean of 200 and a variance of…

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

A:

Q: If the annual proportions of new restaurants that fail in a given city may be looked upon as a…

A: Given X~Beta (α,β) and its prob density is given by f(x)=Γ(α+β)Γ(α)Γ(β)xα-1(1-x)β-1  for 0<x<1…

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: 3. Suppose that the result of the third quarter Exam of MSU-SHS is normally distributed has mean of…

A:

Q: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Suppose that the fraction of defective modems shipped by a data-communications vendor has an…

A: Given, a=5 b=21 a) The mean and variance of the fraction of defective modems per shipment are…

Q: The proportion of defective television tubes made by some company has a beta distribution with mean…

A: Here, µ= 0.25 , σ=  0.0375. Here, X follows a normal distribution.

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

A: Given that the probability a patient will recover from a disease following medication is 0.8.…

Q: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: Given that :  Suppose the time spent by a randomly selected student who uses a terminal connected to…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.