If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time, if X is uniformly distributed with a mean of 6 and a variance of 12?

Q: Give two ways to compute the variance of a continuous random variable.

A: 1.Using expectation formula i.e.      here E(X) of a continuous variable X  can be calculated as…

Q: Fourty percent of the students in a class of 100 are planning to go to graduate school, Find the…

A: Answer: From the given data, Sample size(n) = 100 Probability of students planning to go to graduate…

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 usage time of a telephone belonging to a specific brand may be looked upon as a random variable…

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Q: A simple random sample of 16 adults drawn from a certain population of adults yielded a mean weight…

A: We have given that  Sample size n = 16Sample mean = 63 Variance = 49 Population Standard deviation =…

Q: We are running a hypothesis test to see if weight of African zebras differs significantly from that…

A: The pooled variance is 324, the sample size for the African zebras is 9, and sample size for the…

Q: Find the largest probability that any random variable's values are smaller than its mean by 4…

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Q: An electrical firm manufactures light bulbs that have a length life with normal distribution, and…

A: Since the population of the life time of the light bulbs being sampled from following a normal…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: A manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that…

A: Provided information is, a manufacturer of sunflower oil uses machines to distribute liquid…

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

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Q: at the amount of time required to perfectly cook a waffle is known to be normally with mean of 235…

A: Given that.   X~N(235, 7)   μ=235 , ?2 =7  , S.D=2.6458   Z-score =( x - μ )/?

Q: If the random variable x is distributed through the Binomial(n,0.5), if the mean of x =3,then the…

A: We have to find variance of x...

Q: sample of size 50 is taken from a continuous uniform random varlable with parameters 1 and 39. What…

A: We know that  The pdf of Uniform distribution is  f(x) = 1/(b-a) ,    a<x<b  Variance of X =…

Q: A researcher tests their new treatment for sleep disorder among a sample of 16 individuals who have…

A: That is, there is no evidence to conclude that new treatment will improve their sleep. That is,…

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

A: Given, μ = 50σ2 = 100σ = 10The distribution is normal distribution     To find, The standardization…

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: The mean of the normal distribution is  hours. The variance of normal distribution is The standard…

Q: A company produces washers for a certain brand of washing machines that are designed to have a…

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Q: estimate of the variance of the population was found to be 15.0 From another sample of 14…

A: Given that  n1 = 25 , S12 = 15 , n2 = 14 , S22 = 9.7

Q: hich is unknown to us, so we use the sample variance to estimate the standard error for our…

A: As given, n1: The sample size of blood pressure of African zebras. = 5 n2:  The sample size of blood…

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

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Q: et x be a binomially distributed random variable with parameters n and p. For what value of p is…

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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 manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that…

A: Given, μ=8n=35x=7.91σ=0.03=0.1732α=1-0.99=0.01 The hypothesis to be tested here is- H0:μ=8H1:μ≠8…

Q: A binomial random variable has mean 5 and variance 4. Find the values of n and p that characterize…

A: The provided information is as follows:A binomial random variable has mean 5 and variance 4.

Q: A manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that…

A: Consider μ denotes the the mean of the amount dispensed. The null and alterative hypothesis is as…

Q: Let X₁, X2, X, be normal random variables with mean and variance 2. What are the method of moments…

A: X~N(μ,σ2)

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a…

A: Suppose the random variable x defines the diameter of metal shafts.

Q: The following table gives the outputs of 3 years for a farm that uses 3 types of fertilizers,…

A: Given: Level of significance = 0.05   x1 x2 x3 year1 10 42 54 year2 22 47 61 year3 28 31…

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: Probability of Short-Life Batteries in a BatchWe want to find the chance of having at least 19 car…

Q: A bridge can resist a weight up to 104 metric tons. The mean weight of a car is 4 tons with a…

A: Given information: μ=4, σ2=9x=104*1.102311=114.64 tonsn=2450

Q: Let wages denote a person's hourly wages and edu denote their years of education. Suppose that…

A: The relationship between "wages" and "education" is .Where,The error term follows .The given value…

Q: Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of…

A: The random quantity is 7X-86.

Q: Suppose, you are running an experiment for 'x' times where the probability of success in a single…

A: Given : It is a binomial distribution with two outcomes as either success or failure. Probability of…

Q: Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You…

A: given,  The experiment is having two outcomes which are success and failure and the outcome of one…

Q: Firdaus works as a forestry officer. From his experience, he can walks along the designated trail in…

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Q: Suppose annual demand for a product is normallydistributed, with a mean of 600 and a variance of…

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Q: Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You…

A: It is given that we are running an experiment that has two outcomes, namely 'success' and 'failure'.…

Q: Suppose that X1, X2, X3 and X4 are all independent random variables, each with a normal…

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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